Title of Invention

AN APPARATUS AND METHOD FOR IMPROVING WORK SURFACE DURING FORMING AND SHAPING OF MATERIALS

Abstract

A method and apparatus for improving the surface finish and/or surface integrity of a workpiece formed or shaped with a tool increase the surface hardness of the workpiece during forming or shaping of the workpiece. A method and apparatus for forming or shaping a workpiece also increase the surface hardness of the workpiece during forming or shaping of the workpiece with a tool, as do a method and apparatus for manufacturing a finished part or product from a workpiece. In some embodiments, an expanding jet of cryogen may be jetted to a surface of a workpiece and a tool from a nozzle, wherein the cryogen is at least partially separated into a condensed phase portion and a vapor portion within a downstream portion of the nozzle.

Full Text

06487 USA TITLE OF THE INVENTION: AN APPARATUS AND METHOD FOR IMPROVING WORK SURFACE DURING FORMING AND SHAPING OF MATERIALS BACKGROUND OF THE INVENTION The present invention relates to the field of forming and shaping of materials by various processes, including but not limited to cutting (e.g., shaping parts by removing excess material in the form of chips) and other types of machining, and more particularly improving surface finish and surface integrity of metals and other engineering materials (e.g., polymers and various types of composite materials) formed and shaped through such processes by utilizing cryogenic cooling and other types of treatments, including but not limited to heat treatment, chemical treatment, and mechanical treatment. As used herein, the term "cutting" includes but is not limited to the following operations: turning, boring, parting, grooving, facing, planning, milling, drilling, and other operations which generate continuous chips or fragmented or segmented chips. The term cutting does not include: grinding, electro-discharge machining, or high-pressure jet erosion cutting, i.e., abrasive operations generating very fine chips that are not well defined in shape, e.g., dust or powder. The term "integrity.' as used herein, relates to quality, and more specifically to the desired state of residual stresses in the processed work surface, dimensional accuracy affected by wearing tools, and/or the absence of artifacts or other undesired alterations of surface that often result from the conventional forming or shaping processes. There is a need in the manufacturing industries to produce more parts or products » * faster, i.e., to produce each part or product faster and without increasing the cost per part or comprising part quality. More specifically, there is a need for improved methods which minimize the number and/or the extent of manufacturing steps required to produce a specific, good quality part or product, such as soft roughing, typically carried out before heat treatment, or finish grinding and polishing/honing, typically carried out following heat 5 treatment, or cleaning steps, usually carried out on parts, machine tools, and in a work environment due to the contamination caused by conventional machining fluids. Moreover, there is an industrial interest in eliminating or minimizing the extent of various peening, burnishing, deburning, and localized deep-rolling operations completing the forming or machining process cycle and used, in the case of many metallic products, to enhance the 10 mechanical surface integrity or remove detrimental tensile stresses produced during forming or machining. There also is a need for irpproved methods to accelerate forming and machining operations, minimize capital expenses, e.g., the number of machine tools required to reach specific production targets, and/or reduce the cost of tooling and associated consumables. 15 U.S. Pat. No. 5,878, 496 (Liu, et al.) discloses a method for reducing the number of machining steps while producing hard work parts with an acceptable surface finish by an experimentation and modeiing-based manipulation of conventional machining parameters including tool feedrate and nose radius. The patent does not, however, teach how to improve productivity, increase cutting tool life, or reduce the roughness of a work surface. 20 There exists a relatively large body of prior art publications pertaining to some form of cryogenic spraying or jetting to eliminate cleaning operations, effect productivity of various types of cutting tools, and/or prevent undesired microstructural changes within machined surfaces. See, for example, W002/096598A1 (Zurecki, et al.), W099/60079 (Hong). U.S. Pat. Application Nos.: 2003/0145694A1 (Zurecki, etal.) and 2003/0110781A1 (Zurecki, et 25 al.), and U..S. Pat. Nos.: 5,S01,623 (Hong), 5,509,335 (Emerson). 4,829,859 (Yankoff), and 3,971,114 (Dudley). However, none of these publications nor the other prior art references discussed herein solve the problems or satisfy the needs discussed herein. U.S. Pat. No. 5,761.974 (Wang, et al.) discloses the use of a cryogenic heat- exchanger in contact with the workpiece contacting edge of a cutting tool, whereby direct 5 contact between the cryogenic fluid and the workpiece is avoided by use of the heat exchanger. U.S. Pat. No. 5,103,701 (Lundin, et al.) discloses that cryogenic freezing of an entire workpiece may result in an improvement of tool life when a sharp-edged diamond cutting tool is contacted with ferrous work materials. The methods taught by these two patents improve tool productivity, but the first method cannot effectively control work surface 10 finish and integrity, and the second method requires extensive machine tool modifications that would be unacceptably expensive in most industrial applications. U.S. Pat. No. 5,592,863 (Jaskowiak, et al.) discloses a method using cryogenic cooling to produce discontinuous chips from a continuous chip formed during machining of a polymer workpiece. By cooling the chip, rather than the cutting tool or the polymer 15 workpiece, the method does not improve tool productivity or workpiece surface finish and integrity. U.S. Pat. No. 6,522,570 B1 (Pervey, 111) and U.S. Pat. Application No. 2002/0174528A1 (Prevey, III) disclose methods for eliminating undesired tensile stresses in a work surface that result from various manufacturing operations (e.g., turning) and for 20 imparting desired, compressive stresses. Compressive residual stress in a work surface is known to enhance fatigue strength and fatigue life of product parts while reducing their sensitivity to stress corrosion cracking. An enhanced resistance to stress corrosion cracking and to other stress-accelerated forms of metal corrosion is invaluable to metal component producers and users. The key methods for correcting residual surface stress distribution 25 (i.e., increasing its compressive component) include shot peening and laser peening, both of which are known to deteriorate or damage work surface finish and increase work roughness if applied to their fullest extent. Further illustration of this problem is found in U.S. Pat. No. 6,658,907 B2 (Inoue, etal.) and in U.S. Pat. No. 6,666,061 B2 (Heimann), the latter dealing with deep-rolling, another stress fixing method applied to the surface of manufactured parts. These four patent publications show two critical and still unsolved issues facing the industry: 5 (a) a frequent need for an additional, expensive manufacturing step fixing residua! surface stresses and following the forming or shaping steps, and (b) the present trade-offs between the surface finish and the compressive stress imparted during the stress fixing operations. Clearly, there is an unsatisfied need tor an improved forming, shaping and machining technique which would enhance surface finish and compressive stresses at the same time 10 without requiring additional manufacturing steps. Others have reported that during the conventional, non-cryogenic turning of hard, steels, a sharp cutting edge improves the surface finish and/or somewhat enhances the desired compressive residual stresses, while a rounded or honed edge, preferred from the tool-life and productivity standpoint, makes the workpiece surface rougher and/or less 15 compressed^. J.D. Thiele and S.N. Melkote, Effect of cutting edge geometry and workpiece hardness on surface generation in the finish hard turning of AISI 52100 steel, Journal of Materials Processing Technology. 94 (1999) 216-226; and F. Gunnberg, "Surface integrity Generated by Hard Turning," Thesis, Dept. of Product Development, Chalmers University of Technology, Goteborg, Sweden, 2003. The impact of the honed edge geometry on work 20 surface finish was observed to lessen with increasing work material hardness, but no conclusions were drawn regarding the prospect of controlling surface finish and integrity by modifying work surface hardness before or during machining operations while maintaining an acceptable tool life and high productivity. Also, experimental roughness data which has been reported for very similar 25 machining conditions underlined the tentative nature.of material hardness effect suggested » by Thiele and Melkote, showing that the roughness increases whenever the work hardness increases. See, T. Ozel, Tsu-Kong Hsu, and E. Zeren, Effects of Cutting Edge Geometry, ' Workpiece Hardness, Feed Rate and Cutting Speed on Surface Roughness and Forces in Finish Turning of Hardened AiSI H13 Steel, International Journal of Advanced Manufacturing Technology (2003). 5 Thus, the prior art offers only fragmented and incomplete, if not contradicting, solutions to the industrial needs discussed above, and demonstrates the need for a more comprehensive method for reducing manufacturing steps and costs while improving work surface finish and integrity. Specific areas that require a single, comprehensive solution include (a) effectiveness of cooling and hardening of cutting tools during machining using 10 cryogenic jetting, which is preferred for its ability to reduce tool wear and costs, increase production rates, and eiiminate cleaning steps from the manufacturing process, (b) application of cryogenic jetting to minimize roughness and maximize compressive stresses of work surface produced during machining so that no additional finishing steps are required, and (c) further modifications of work material properties before and during cutting that 15 minimize machined surface roughness and, thus, eliminate the need for finish grinding steps. It is desired to have a method and an apparatus for improving the surface finish and integrity of a workpiece which satisfy the above needs and address the problems discussed herein. It is further desired to have a method and an apparatus for improving the surface 20 finish and integrity of a workpiece which overcome the difficulties and disadvantages of the prior art to provide better and more advantageous results. It is still further desired to have a method and an apparatus for forming or shaping a workpiece which overcome the difficulties and disadvantages of the prior art to provide better and more advantageous results. 25 It is also desired to have a method and an apparatus for manufacturing finished oarts and products which would eliminate one or more steps or elements required in prior art manufacturing processes and systems. 5 BRIEF SUMMARY OF THE INVENTION Applicants' invention is a method and an apparatus for improving the surface fnish and /or surface integrity of a workpiece formed or shaped with a tool. Another aspect cf the invention is a method and an apparatus for forming or shaping a workpiece. Yet another 10 aspect of the invention is a method and an apparatus for manufacturing a finished par or a finished product from a workpiece. Other aspects of the invention are a workpiece formed or shaped by the method and apparatus for forming or shaping a workpiece, and a finished part or a finished product manufactured by the method and apparatus for manufacturing. The invention also includes a nozzle for jetting an expanding jet of a cryogen to a surface of a 15 workpiece. A first embodiment of the method for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool, the workpiece having a surface hardness, includes increasing the surface hardness of the workpiece during forming or shaping of the workpiece with the tool. ("Surface finish" and "surface integrity" are defined 20 and discussed in the Background of the Invention section above and in the Detailed Description of the Invention section below.) There are several variations of the first embodiment of this method. In one variation, the surface hardness of the workpiece is increased by cooling with a cryogenic fluid at least a portion of the tool, or at least a portion of the workpiece, or at least a 25 portion of the tool and at least a portion of the workpiece. In a variant of this variation, the jet of the cryogenic fluid impinges on a portion of the tool and a portion of a surface of the » workpieoe.-There are several variations of this variant. In one variation of the variant, the jet of the cryogenic fluid impinges on the portion of the tool at an impingement angle (a) greater than about 0° and less than about 9C5. In another variation, the jet of the cryogenic fluid impinges on the portion of the tool at an impingement angle (a) greater than about 30° and less than about 90°. In yet another 5 variation, the jet of the cryogenic fluid impinges on the surface of the workpiece at a spread angle ((3) greater than about 0° and less than about 180°. A second embodiment of the method for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool, the workpiece having a surface hardness, includes increasing the surface hardness of the workpiece prior to forming 10 or shaping the workpiece with a tool, or during forming or shaping of the workpiece with the tool, or both prior to and during forming or shaping of the workpiece with the tool. In a variation of. this embodiment, the surface hardness of the workpiece is increased by at least one of a heat treatment, a chemical treatment, and a mechanical treatment. A third embodiment of the method for improving at least one of a surface finish and a 15 -surface integrity of a workpiece machined with a cutting tool, the workpiece having a surface hardness, includes increasing the surface hardness of the workpiece during machining of the workpiece with the cutting tool, wherein the surface hardness of the workpiece is increased by cooling with a cryogenic fluid at least a portion of the cutting tool and at least a portion of the workpiece, and a jet of the cryogenic fluid impinges on a portion of the cutting tool at an 20 impingement angle (a) greater than about 0? and less than about 90°, and the jet of the cryogenic fluid impinges on the surface of the workpiece at a spread angle (P) greater than about 0° and less than about 180°. A fourth embodiment of the method for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool includes multiple steps. The 25 first step is to provide a supply of a cryogen. The second step is to 'provide a nozzle adjacent the workpiece. The nozzle includes multiple elements. The first element is at least one inlet -7- adapted to receive a flow of the cryogen. The second element is an upstream portion in fluid communication with the at least one inlet, the upstream portion adapted to receive at least a portion of the flow of the cryogen from the at least one inlet. The third element is a downstream portion in fluid communication with the upstream portion and adapted to receive 5 at least a portion of the flow of the cryogen from the upstream portion. The fourth element is at least one outlet in fluid communication with the downstream portion and adapted to receive and transmit from the downstream portion at least a portion of the flow cf the cryogen. The third step is to deliver a portion of the cryogen to the at least one inlet of the nozzle, wherein the cryogen is at least partially separated within the downstream portion of 10 the nozzle into a condensed phase portion and a vapor portion. The fourth step is to jet at least a portion of an expanding jet of the condensed phase portion and the vapor portion from the at least one outlet of the nozzle to the tool and a surface of the workpiece. In a variation of the fourth embodiment, the downstream portion of the nozzie has at least one diverging wall and at least one converging wall adapted to converge on the 15 expanding jet. In a variant of that variation, the at least one diverging wall has a diverging angle and the at least one converging wall has a converging angle less than the diverging angle. In another variant, the diverging wall is open to an ambient atmosphere. Another embodiment is a method for improving at least one of a surface finish and a surface integrity of a workpiece machined with a cutting tool. This embodiment includes 20 multiple steps. The first three steps of this embodiment are the same as the first three steps of the fourth embodiment of the method discussed above. The fourth step is to jet at least a portion of an expanding jet of the condensed phase portion and the vapor portion from the at least one outlet of the nozzle to the cutting tool and a surface of the workpiece, wherein the downstream portion of the nozzle has at least one diverging wall open to an ambient 25 atmosphere and at least one converging wall adapted to converge on the expanding jet, and > • wherein the at least one diverging wall has a diverging angle and the at least one converging wall has a converging angle less than the diverging angle. Another aspect of the invention is a method for forming or shaping a workpiece having a surface hardness. A first embodiment of this method includes multiple steps. The 5 first step is to provide a tool adjacent the workpiece, the tool adapted to form or shape the workpiece. The second step is to form or shape the workpiece with the tool. The third step is to increase the surface hardness of the workpiece during forming or shaping of the workpiece with the tool. Another aspect of the invention is a workpiece formed or shaped by the above- 10 described method, the workpiece characterized by an improved surface finish, an improved surface integrity, or both an improved surface finish and an improved surface integrity. There are several variations of this aspect of the invention. In one variation, the workpiece has a work surface roughness (Ra), wherein the work surface roughness (Ra) is equal to or less than a theoretical low roughness limit (Ra-t), 15 calculated as Ra-t=f21 (32 r), where f is a catting tool feedrate and r is a cutting tool nose radius. In another variation, the workpiece has a formed or shaped work surface characterized by an improved residual stress, said improved residual stress being more compressive, deeper extending, or both more compressive and deeper extending than 20 another residual stress that would be obtained by forming or shaping the workpiece without increasing the surface hardness of the workpiece during forming or shaping of the workpiece. In yet another variation, the workpiece contains at least one metallic alloy having at least one element selected from a group consisting of cobalt (Co), chromium (Cr), 25 molybdenum (Mo), nicke! (Mi), iron (Fe), tungsten (W), aluminum (Al)r titanium (Ti), tantalum (Ta), niobium (No) and vanadium (V). There are still yet other variations of this aspect of the invention. In one such variation, the workpiece is in a form selected from a group consisting of a cast form, wrought form, powder metallurgy form, and composite form. In another variation, the v.-orkoiece contains at least one polymer or at least one polymer-based composite. In yet another 5 variation, the workpiece has a formed or shaped work surface characterized by at least one of an improved fatigue strength, an improved fatigue life, an improved stress-cracking resistance, and an improved corrosion resistance. Another embodiment, a method for machining a workpiece having a surface hardness, includes multiple steps. The first step is to provide a cutting tool adjacent the 10 workpiece, the cutting tool adapted to shape the workpiece. The second step is to shape the workpiece with the cutting tool. The third step is to increase the. surface hardness of the workpiece during shaping of the workpiece with the cutting tool, wherein the shaped workpiece is characterized by an improved surface finish having a work surface roughness (Ra) equal to or less than a theoretical low roughness limit (Ra-t), calculated as Ra-t=f / (32 15 r), where f is a cutting tool feedrate and r is a cutting tool nose radius. Another aspect o-' the invention is a method for manufacturing a finished part or a finished product from a workpiece having a surface hardness. One embodiment of the method includes multiple steps. The first step is to provide a tool adjacent the workpiece, the tool adapted to form or shape the workpiece. The second step is to form or shape the 20 workpiece with the tool. The third step is to increase the surface hardness of the workpiece during forming or shaping of the workpiece with the tool. The fourth step is to manufacture the finished part or the finished product from the workpiece shaped or formed with the tool. In one variation of this method, the finished part or the finished product is manufactured from the workpiece without using at least one additional operation needed by 25 at least one othe^ method for manufacturing a comparable finished part or a comparable finished product which the other method forms or shapes from a comparable workpiece having a comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece during forming or shaping of the comparable workpiece, said at least one additional operation being selected from a group consisting of grinding, polishing, honing, deburring, peening. tumbling, burnishing, deep rolling, soft anneaiing. soft 5 machining, soft shaping, soft forming, and work part cleaning. Another aspect of the invention is a finished part or a finished product manufactured by the method described above and characterized by a reduced manufacturing cost, said reduced manufacturing cost being less than a higher manufacturing cost for a comparable finished part or a comparable finished product manufactured by at least one other method 10 which forms or shapes a comparable workpiece having a comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece during forming or shaping of the comparable workpiece. Another embodiment of the method for manufacturing a finished part from a workpiece having a surface hardness includes multiple steps. The first step is to provide a 15 cutting tool adjacent the workpiece, the cutting tool adapted to shape the workpiece. The second step is to shape the workpiece with the cutting tool. The third step is to increase the surface hardness of the workpiece during shaping of the workpiece with the cutting tool. The fourth step is to manufacture the finished part from the workpiece shaped with the cutting tool, wherein the finished part is manufactured from the workpiece without using at least one 20 additional operation needed by at least one other method for manufacturing a comparable finished part which the other method shapes from a comparable workpiece having a ' comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece curing shaping of the comparable workpiece, said at least one additional operation being selected from a group consisting of grinding, polishing, honing, 25 deburring, peening, tumbiing, burnishing, deep rolling, soft annealing, soft machining, soft shaping, soft forming, and work part cleaning. * i • A first embodiment of the apparatus for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool, the workpiece having a surface hardness, includes means for increasing the surface hardness of the workpiece during forming or shaping of the workpiece with the tool. There are several variations of the 5 first embodiment of this apparatus. In one variation, the surface hardness of the workpiece is increased by cooiing with a cryogenic fluid at least a portion of the tool, or at least a portion of the workpiece, or at least a portion of the tool and at least a portion of the workpiece. In a variant of this variation, the jet of the cryogenic fluid impinges on a portion of the tool and a portion of a surface of the 10 workpiece. There are several variations of this variant. In one variation of the variant, the jet of the cryogenic fluid impinges on the portion of the tool at an impingement angle (a) greater than about 0° and less than about 90°. In another variation, the jet of the cryogenic fluid impinges on the portion of the tool at an - impingement angle (a) greater than about 30° and less than about 90°. In yet another 15 variation, the jet of the cryogenic fluid impinges on the surface of the workpiece at a spread angle (P) greater than about 0° and less than about 180°. A second embodiment of the apparatus for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool, the workpiece having a surface hardness, includes means for increasing the surface hardness of the workpiece prior 20 to forming or shaping the workpiece with the tool, or during forming or shaping of the workpiece with the tool, or both prior to and during forming or shaping of the workpiece with the tool. In a variation of this embodiment, the surface hardness of the workpiece is increased by at least one of a heat treatment, a chemical treatment, and a mechanical treatment. 25 A third embodiment of the apparatus for improving at'least one of a surface finish and a surface integrity of a workpiece machined with a cutting tool, the workpiece having a surface hardness, includes means for increasing the surface hardness of the workpiece during machining of the workpiece with the cutting tool, wherein the surface hardness of the workpiece is increased by cooling with a cryogenic fluid at least a portion of the cutting tool and at least a portion of the workpiece, and a jet of the cryogenic fluid impinges on a portion 5 of the cutting tool at an impingement angle (a) greater than about 0° and less than about 90°, .and the jet of the cryogenic fluid impinges on the surface of the workpiece at a spread angle (P) greater than about 0° and less than about 180°. A fourth embodiment of the apparatus for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool includes multiple 10 elements. The first element is a supply of a cryogen. The second element is a nozzle adjacent the workpiece. The nozzle includes multiple sub-elements. The first sub-element is at least one inlet adapted to receive a flow of the cryogen. The second sub-element is an upstream portion in fluid communication with the at least one inlet, the upstream portion adapted to receive at least a portion of the flow of the cryogen from the at least one inlet. 15 The third sub-element is a downstream portion in fluid communication with the upstream portion and adapted to receive at least a portion of the flow of the cryogen from the upstream portion. The fourth sub-element is at least one outlet in fluid communication with the downstream portion and adapted to receive and transmit from the downstream portion at least a portion of the flow of the cryogen. The third element of the apparatus is a means for 20 delivering a portion of the cryogen to the at least one inlet of the nozzle, wherein the cryogen is at least partially separated within the downstream portion of the nozzle into a condensed phase portion and a vapor portion. The fourth element is a means for jetting at least a portion of an expanding jet of the condensed phase portion and the vapor portion from the at least one outlet of the nozzle to the tool and the surface of the workpiece. 25 - - In a variation of the fourth embodiment, the downstream portion of the nozzle has at least one diverging wall and at least one converging wall adapted to converge on the expanding jet. In a variant of this variation, the at least one diverging wall has a diverging angle and the at least one converging wall has a converging angle less than the diverging angle. In another variant, the diverging wall is open to an ambient atmosphere. Another embodiment is an apparatus for improving at least one of a surface finish and a surface integrity of a workpiece machined with a cutting tool. This embodiment includes multiple elements. The first three elements are the same as the first three elements of the fourth embodiment of the apparatus discussed above. The fourth element is a means for jetting at least a portion of an expanding jet of the condensed phase portion and the vapor portion from the at least one outlet of the nozzle to the cutting tool and a surface of the workpiece, wherein the downstream portion of the nozzle has at least one diverging wall open to an ambient atmosphere and at least one converging wall adapted to converge on the expanding jet, and wherein the at least one diverging wall has a diverging angle and the at least one converging wall has a converging angle less than the diverging angle. Another aspect of the invention is an apparatus for forming or shaping a workpiece having a surface hardness. A first embodiment of this apparatus includes multiple elements. The first element is a tool adjacent the workpiece, the tool adapted to form or shape the workpiece. The second element is a means for forming or shaping the workpiece with the tool. The third element is a means for increasing the surface hardness of the workpiece during forming or shaping of the workpiece with the tool. Another aspect cf the invention is a workpiece formed or shaped by the above- described apparatus and characterized by an improved surface finish, an improved surface integrity, or both an improved surface finish and an improved surface integrity. There are several variations of this aspect of the invention. * * » In one variation, the workpiece has a work surface roughness (Ra), wherein the work surface roughness (Ra) is equal to or less than a theoretical low roughness limit (Ra-t), calculated as Ra-t^ / (32 r), where f is a cutting tool feedrate and r is a cutting tool nose radius. 5 In another variation, the workpiece has a formed or shaped work surface characterized by an improved residual stress, said improved residual stress being more compressive, deeper extending, or both more compressive and deeper extending than another residual stress that would be obtained by forming or shaping the workpiece without using a means for increasing the surface hardness of the workpiece during forming or 10 shaping of the workpiece. In yet another variation, the workpiece contains at least one metallic alloy having at least one element selected from a group consisting of cobalt (Co), chromium (Cr), molybdenum (Mo), nickel (Ni), iron (Fe), tungsten (W), aluminum (Al), titanium (Ti), tantalum (Ta), niobium (Nb) and vanadium (V). 15 There are still yet other variations of the workpiece. In one such variation, at least a portion of the workpiece is in a form selected from a group consisting of a cast form, wrought form, powder metallurgy form, and composite form. In another variation, the workpiece contains at least one polymer or at least one polymer-based composite. In yet another variation, the workpiece has a formed or shaped work surface characterized by at least one 20 of an improved fatigue strength, an improved fatigue life, an improved stress-cracking resistance, and an improved corrosion resistance. Another embodiment, an apparatus for machining a workpiece having s surface hardness, includes multiple elements. The first element is a cutting tool adjacent the workpiece, the cutting tooi adapted to shape the workpiece. The second element is a means 25 for shaping the workpiece with the cutting tool. The third element is a means for increasing the surface hardness of the workpiece during shaping of the workpiece with a.cutting tool, * 4, » wherein the shape of the workpiece is characterized by an improved surface finish having a work surface roughness (Ra) equal to or less than a theoretical low roughness limit (Ra-t), calculated as Ra^f2 I (32 r), where f is a cutting tool feedrate and r is a cutting tool nose radius. 5 Another aspect cf the invention is an apparatus for manufacturing a finished part or a finished product from a workpiece having a surface hardness. One embodiment of the apparatus includes multiple elements. The first element is a tool adjacent the workpiece, the tool adapted to form or shape the workpiece. The second element is a means for forming or shaping the workpiece with the tool. The third element is a means for increasing the surface 10 hardness of the workpiece during forming or shaping of the workpiece with the tool. The fourth element is a means for manufacturing the finished part or the finished product from the workpiece shaped or formed with the tool. In one variation of this apparatus, the finished part or the finished product is manufactured from the workpiece without using at least one additional operation needed by 15 at least one other apparatus for manufacturing a comparable finished part or a comparable finished product which the other apparatus forms or shapes from a comparable workpiece having a comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece during forming or shaping of the comparable workpiece, said at least one additional operation being selected from a group consisting of grinding, polishing, 20 honing, deburring, peening, tumbling, burnishing, deep rolling, soft annealing, soft machining, soft shaping, soft forming, and work part cleaning. Another aspect of the invention is a finished part or a finished product manufactured by the apparatus described above and characterized by a reduced manufacturing cost, said reduced manufacturing cost being less than a higher manufacturing cost for a comparable 25 finished part or a comparable finished product manufactured by at least one other apparatus which forms or shapes a comparable workpiece having a comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece during forming or shaping of the comparable workpiece. Another embodiment of the apparatus for manufacturing a finished part from a workpiece having a surface hardness includes multiple elements. The first element is a 5 cutting tool adjacent the workpiece, the cutting tool adapted to shape the workpiece. The second element is a means for shaping the workpiece with the,cutting tool. The third element is a means for increasing the surface hardness of the workpiece during shaping of the workpiece with the cutting tool. The fourth element is a means for manufacturing the finished part from the workpiece shaped with the cutting tool, wherein the finished part is 10 manufactured from the workpiece without using at least one additional operation needed by at least one other apparatus for manufacturing a comparable finished part which the other apparatus shapes from a comparable workpiece having a comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece during shaping of the comparable workpiece, said at least one additional operation being selected 15 from a group consisting of grinding, polishing, boning, deburring, peening, tumbling, burnishing, deep rolling, soft annealing, soft machining, soft shaping, soft forming, and work part cleaning. Another aspect of the invention is a nozzle for jetting an expanding jet of a cryogen to a surface of a workpiece. A first embodiment of the nozzle includes multiple elements. The 20 first element is at least one inlet adapted to receive a flow of the cryogen. The second element is an upstream portion in fluid communication with the at least one inlet, the. upstream portion adapted to receive at least a portion of the flow of the cryogen from the at least one inlet. The third element is a downstream portion in fluid communication with the upstream portion and adapted to receive at least a portion of the flow of the cryogen from the 25 upstream portion. The fourth element is at least one outlet in fluid communication with the downstream portion and adapted to receive and transmit from the downstream portion at least a portion of the flow of the cryogen. The fifth element is a means for separating the cryogen at least partially into a condensed phase portion and a vapor portion within the downstream portion of the nozzle. A second embodiment of the nozzle is similar to the first embodiment but includes an 5 internal expansion chamber adapted to confine the expanding jet of the cryogen, wherein the nozzle is adapted to clamp a cutting tool having a tool rake surface. There are several variations of the first embodiment of the invention. In one variation, the downstream portion of the nozzle has at least one diverging wall and at least one converging angle wall adapted to converge on the expanding jet of the cryogen. In a variant 10 of this variation, the diverging wall has a diverging angle and the converging wall has a converging angle less than the diverging angle. In another variant, the diverging wall is open to an ambient atmosphere. Another embodiment is a nozzle for jetting an expanding jet of a cryogen to a surface of the workpiece. This embodiment includes multiple elements. The first five elements of 15 this embodiment are the same as the first five elements of the first embodiment of the nozzle. The sixth element is an internal expansion chamber adapted to confine the expanding jet of the cryogen, wherein the downstream portion of the nozzle has at least one diverging wall open to an ambient atmosphere and at least one converging wall adapted to converge on the expanding jet of the cryogen, and wherein the diverging wall has a diverging 20 angle and the converging wall has a converging angle less than the diverging angle, and wherein the nozzle is adapted to clamp a cutting tool having a tool rake surface. BRIEF DESCRIPTION OF THE DRAWINGS 25 The invention will be described by way of example with reference to the accompanying drawings, in which: Figure 1 (1A, 1Band 1C) shows the key parameters of cryogenic fluid impingement on a cutting tool and a workpiece surface: impingement angle (a), spread angle ((3), tooi feed rate (f), depth of cut (d), the radius of-tool curvature in contact with work material (r), impingement area (A), and the distance between the center of the impingement area and the work part surface (L), and more specifically, Figure 1A is a schematic diagram illustrating a side view of one embodiment of the present invention wherein the cryogenic fluid jet impinges on a tool rake surface at an impingement angle (a); Figure 1B is a schematic diagram illustrating a top view of one embodiment of the present invention wherein the cryogenic fluid jet splashes on a tool surface and then impinges on the surface of the workpiece at a spread angle ((3); Figure 1C is a schematic diagram illustrating a top view of an embodiment of the present invention wherein the cryogenic fluid jet forms an impingement spot A on the rake surface of a cutting tool at a distance L from the work surface of the workpiece; Figure 2 (2A-2E) illustrates an apparatus and a method for impinging cryogenic fluid on a tool and work surface using free and confined-jet nozzles, and more specifically, Figure 2A is a schematic diagram illustrating a side view of an embodiment of the present invention using a free-expanding cryogenic fluid jet entraining an ambient atmosphere, such as air; Figure 2B is a schematic diagram illustrating a side view of the downstream part of the nozzle in the embodiment of the present invention illustrated in Figure 2C; Figure 2C is a schematic diagram illustrating a side view of an embodiment of the present invention using a dome-shaped, confined-jet nozzle of the present invention shown in cross-section, located above the rake surface wherein the cryogenic fluid jet impinges the . rake surface at an impinsement angle (a); v * ' * 4 » Figure 2D is a schematic diagram illustrating a top view of an embodiment of the present invention using a rounded, dome-shaped, confined-jet nozzle of the present invention, shown in cross-section, located above the rake surface wherein the cryogenic fluid jet impinges on the surface of the workpiece at a spread angle (P); 5 Figure 2E is a schematic diagram illustrating a top view of an embodiment of the present invention using a rectangular, dome-shaped, confined-jet nozzle of the present invention, shown in cross-section, located above the rake surface wherein the cryogenic fluid contacts the rake surface over an impingement area A; Figure 3 is a graph showing the effect of impingement angle (a), supply pressure, 10 and flowrate of a cryogenic fluid on cooling rate of a cutting insert tool; Figure 4 is a graph showing the effect of cooling method on the life of a tool cutting an as-sintered and prehardened ferrous powder metallurgy workpiece; Figure 5 (5A and 5B) illustrates two aspects of the present invention during finish- turning of prehardened bearing steel, 52100 grade, and more specifically, 15 Figure 5A is a graph showing the effect of cooling method on tool wear; Figure 5B is a graph showing the roughness of work surface throughout the life of the tool; and Figure 6 is a graph showing the effect of cooling method used during finish-turning on residual stress distribution in and under the surface of a prehardened steel, M50 grade. 20 DETAILED DESCRIPTION OF THE INVENTION The present invention includes a method and apparatus for improving surface finish, or reducing surface roughness, and improving surface integrity of a work material or 25 increasing compressive residual surface stress by increasing the hardness of the work material. Althoughttie present invention is discussed herein in the context of machining a work material with a cutting tool, persons skilled in the art will recognize that the invention _ . I — >11111 II _ - ■ 11-1 -^^WIPMi * * » has broader application and may be used in many other shaping and forming processes, including but not limited to other types of machining, rolling, bending, stamping, profiling, drawing, etc. The work material can be hardened prior to machining and other shaping operations 5 by a suitable heat treatment, chemical treatment, or mechanical treatment, including but not limited to transformation hardening, e.g. quench-tempering of martensitic steels, cryogenic quenching treatments as exemplified by J.Y. Huang et al. (Microstructure of cryogenic treated M2 tool steel, Materials Science and Engineering, A339, 2003, pp. 241-244), diffusion carburizing, nitriding, carbonitriding, baking, aging, laser glazing, welding arc 10 (GTAW) solidification hardening, polymer cross-linking and ultra-violet light curing, work hardening via shot-peening or rolling, forging, cold extrusion and drawing, cold pressing, densification or coining, and combinations thereof, as well as other commonly used . ■ treatments selected for the type of work material. It should be understood that many of these work surface hardening operations can be carried out immediately before the inventive 15 shaping step, e.g. immediately before the finish-cutting or forming tool contacting the work surface, in the same workpiece set-up, in the same manufacturing system, or in the same, automated transfer line. An example of hardening operations which can be easily adopted before the shaping tool are induction hardening and laser treatment of surface in the stream of gas containing carbon as taught by Kumar et al. (US 6,454,877 B1). 20 The cryogenic cooling can be achieved by contacting the work material with a cryogen in a liquid, vapor, or solid phase. The preferred inert cryogenic liquids, which all boil at temperatures much beiow the freezing point of water at 1-atmosphere pressure, include liquid nitrogen, liquid argon, liquid carbon dioxide, and liquid helium. However, persons skilled in the art will recognize that other cryogenic mixtures of liquids, gases, and solid * 25 particles could be used as the cryogen. ♦ • The preferred cryogenic cooling method should be highly localized and produce a short-lived hardening effect. By jetting or spraying a cryogenic fluid there is no need to freeze the entire workpiece, which would be expensive and impractical. The hardening surface treatment technique of the present invention can be used when it is desired to have a final product harder than the feedstock used for machining, while the cryogenic cooling technique can be used if it is desired to retain the initial cnaterial hardness after machining. Also, the work material can be hardened prior to machining operations by surface treatment, as well as during machining operations by cryogenic cooling to maximize the surface finish and surface integrity of the machined part. Another aspect of the present invention is an optimized method of jetting cryogenic fluid at a cutting tool, or another shaping or forming tool, and a workpiece surface, which method has been developed by trial and error to meet certain cooling and work material hardening requirements while simultaneously maximizing tool life, thereby increasing manufacturing productivity and reducing manufacturing costs, including the costs of coolant spent. Also, a new type of cryogenic nozzle for machining has been developed. Thus, the present invention includes a clean, cost-effective, accelerated-speed manufacturing method which improves surface finish and surface integrity of processed parts (even when the parts are hard) and allows users to skip multiple manufacturing steps. Various observations and discoveries were made during Applicants' use of the present invention on finish turning of metallic, composite, and polymer work materials. Some of these observations and discoveries are discussed below. An expansion of a compressed liquid nitrogen (LIN) coolant, or another liquid cryogenic coolant, into a 1-atmosphere pressure jet using a nozzle aimed at a tool rake surface results in a more effective tool cooling than contacting that tool rake surface with compressed LIN. While the exact cooling mechanism responsible for this effect is not clear) Applicants believe that it may be explained by the lower temperature of the decompressed liquid droplets impacting the tool. The normal temperature of LIN at 1-atmosphere is -320°F, while the temperature of LIN compressed to 120 psig is -275°F [i.e., 45°F higher). Applicants observed that the cooling of a tool is most effective when the tool surface is impacted by a fast moving jet or spray of LIN at a pressure no higher than 1-atmosphere. 5 Figure 1A shows a sice view of one embodiment of the present invention wherein a .fast moving cryogenic fluid jet 20 impinges on a tool rake surface 14 at 1-atmosphere pressure. The components include a cutting tool 12 (or cutting insert), the tool rake surface 14, a toolholder 16, a tubular nozzle 18 issuing the jet 20, and a workpiece 22. Although codling of the tool rake surface 14 is the most preferred method, cooling of other tool 10 surfaces, such as the major and minor or trailing flanks, also is within the scope of the present invention. The tool rake surface 14 is the surface of the cutting tool 12 (or cutting insert) which extends behind the cutting edge and stays in contact with a material chip sheared away from the workpiece 22. (Rake surface is the cutting tool surface adjacent the cutting edge which 15 directs the flow of the chip away from the workpiece. The rake surface may be completely flat, chamfered, or may have a more complex, three-dimensional topography produced by the molding or an addition of a plate in order to provide an enhanced control chip flow and/or chip breaking.) As used herein, the terms "cutting tool" and "cutting insert" are interchangeable. A 20 cutting insert is an indexable, replaceable cutting tool made of a hard material, e.g. WC-Co, CBN, Al203, or Si3N4, having a cutting edge and a rake surface, and mounted on a suitable toolholder. Figures 1B and 1C illustrate certain features of the embodiment shown in Figure 1A, which features are discussed below. The arrows in Figures 1A-1C show the directions of 25 rotation of the workpiece 22, the tool depth of cut (d), feedrate (f), and the supply of a cryogenic fluid into the nozzle 18. Figure 1C shows the spray impact area designated as A. An increase of the spray impact area (A) on the tool rake surface 14 results in improved cooling of the cutting tool 12. However, increasing the distance between the rake surface and the exit of the nozzle 18 to increase the spray impact area reduces cooling efficiency if the jet 20 travels through air. 5 Applicants believe that, in addition to the drop in the mass-flux density or impact density, the observed effect results from the entrainment of air into the expanding jet and an excessive in-flight boiling of cryogenic droplets. An increase in the jet impingement angle (a) located in the plane normal to the tool - rake surface 14 from 0 0 (the tangential direction) to 90° (the normal direction) results in 10 significantly improved cooling of the cutting tool 12 and, consequently, a longer tool life or the capability of cutting faster and/or cutting harder work parts which generate more heat. Figure 1A shows an impingement angle (a) against the background of the cutting tool 12, toolholder 16, workpiece 22, and a tubular jetting nozzle 18. A large impingement angle (a) is necessary for an effective cutting of a hard or hardened workpiece, and the effect of the 15 angle is proportional to the hardness of the workpiece.-- An increase in the jet spread angle (P) located in the plane of the tool rake surface 14 reduces work surface roughness. Figures 1B and 1C illustrate the jet spread angle (P) against the background of a round cutting tool 12, toolholder 16, workpiece 22, and a tubular jetting nozzle 18. The distance L between the impingement spot or spray impact area A on 20 the tool rake surface and the work surface shown in Figure 1C is not critical since the splashed jet entrains less air than a free jet discussed above. What is critical is that the spread angle (P) is sufficient for the splashed jet to reach at least the entire length of contact between the cutting tool and the workpiece. The contact length extends between points b1 and b2 as shown in Figure 1C. In the case of rounded tools or tools cutting on the curvature 25 of a rounded corner, which is frequently encountered in finishing operations, the contact are subject to difficult to avoid fluctuations, it is beneficial to use a nozzle in which the expanding jet is at least partially confined. Such an improved nozzle should also maximize the surface contact area or spray impact area (A) between the boiling cryogenic fluid and the tool rake surface and prevent pressure build-up over that boiling area, i.e., maintain an 5 essentially 1-atmosphere pressure. Figures 2B-2E show an embodiment of the present invention using a confined jet nozzle 32. To prevent radial bushing of a cryogenic fluid jet and entrainment of warm, ambient air (typical for free-expanding jets produced by simple nozzles, such as in Figure 2A), the nozzle 32 of the present invention (shown in Figures 2B-2E) expands the cryogenic 10 fluid from an elevated supply pressure to an atmospheric pressure inside a dome 30 that is located just abovejhe tool rake surface 14. Figure 2B illustrates the principle of fluid jet confinement. During the expansion and decompression inside the downstream part of the nozzle 32, the cryogenic jet separates into a vapor portion and a condensed phase portion, which typically is a liquid stream, as shown 15 in Figure 2B. In some cases, the condensed phase portion may comprise fine ice particles or a cryogenic slush, such as in the case of expanding cold carbon dioxide (C02) gas or liquid. Due to higher density and inertia, the condensed phase portion tries to continue expanding along the original axis but is deflected and continues expansion along the converging wall 34. The converging angle 36 of the converging wall, as shown in Figure 2B 20 relative to the original axis, must be less than the diverging angle 40 of the diverging wall 42 to assure the desired fluid decompression and jet expansion. • Typically, the initial angle of the converging wall 34 may vary between 0° and 60°, but the curvature of the converging wall can increase at some distance downstream, and the final converging angle 35 of the converging wall relative to the original axis can be as large 25 as 90°. It is thiS final converging angle of the converging wall which determines the-jet impingement angle alpha (a) and the tool cooling effect. The steeper it is the better. Typically, the diverging angle 40 can vary from 30° to 175° relative to the original axis, depending on other nozzle design considerations, with the limiting condition that the diverging angle is always larger than the converging angle 36. The net result of so seiected wall angles is the capability of separating the vapor portion from the condensed phase 5 portion (e.g., liquid), and expanding the condensed phase portion in the desired direction and under the desired angle. The result is quite important because the separated condensed phase portion (e.g., liquid) is significantly more effective in cooling than is the vapor portion. Figure 2C illustrates the operation of the confining nozzle 32 designed according to the principle described above and points out the expansion of the cryogen from an elevated 10 supply pressure to atmospheric (1atm.) pressure inside a dome 30 or cavity of the nozzle which is located just above the tool rake surface f4.' The gap between the bottom edge of the dome and the rake surface is sufficient to prevent undesiced pressure build-up inside the dome. The front side of the bottom edge of the dome, which faces the workpiece 22, can be carved or grooved in order to project the main portion of the cryogen in the most desired 15 direction. The shape and size of the front groove or grooves can be selected to obtain the desired value of the spread ancle (P). The height and the internal curvature of the dome can be selected to produce the desired jet impingement angle (a). Furthermore, the spray impact area or contact area (A) can be conveniently maximized by enlarging the size of the base of the dome. 20 When jetting a liquid-based cryogenic stream, the expansion of compressed cryogen inside the dome 30 produces a substantially colder liquid and vapor phase. Due to a significantly higher density, the liquid phase continues to expand in the original direction dictated by the orientation of the constricting orifice located upstream and becomes deflected on the internal wall of the dome. Consequently, the liquid phase impinges on the tool rake 25 surface 14 under the same angle as that of the line tangential to the curvature of the-dome. Thus, the impingement angle fa; can be easily set by the curvature and the elevation of the dome, and making the impingement angle (a) steeper than, say, 30° or even 80°, therefore is not difficult. While the liquid portion of the cryogenic fluid expands over the internal curvature of the dome 30 and leaves the dome through the front groove, the vapor (which is much less 5 dense than the liquid) is pushed back toward the tool rake surface 14 and the gap between the bottom of the dome and the rake. The nozzle 32 of the present invention is, in essence, a centrifugally phase-separating device which projects the most cooling, liquid phase toward the hottest part of the cutting tool, and removes the cold vapor through the sides of the base of the dome. 10 Figures 2D and 2E show a top view of two possible configurations of the nozzie 32 of the present invention where the front part of the dome 30 can be terminated either with a spherical curvature or a flat-curved wall to produce a more or less constricted stream of liquid cryogenic fluid. Corresponding to the shape of the'front part of the dome can be the shape of the constricting orifice located upstream - round for a spherically curved dome and 15 slit-shaped for a flat-wall curved dome. The nozzle 32 of the present invention fits well into a real lathe-machining environment, where chips evolving from a machined work surface tend to entangle around, collide with, or jam in front of conventional coolant nozzles. The compact design of the nozzle allows for mounting it at the end of conventional clamps holding down cutting inserts 20 or attaching a holding bolt to the back end of the nozzle, so that it becomes an insert clamp and a coolant nozzle at the same time. Applicants observed that an increase in work material hardness reduces the as- machined roughness of a work surface during the useful life of a cutting tool, which is desired, but tends to shorten the useful life of the cutting tool, which is undesired. Surface 25 roughness is the most popular measure of surface finis'h.'and it is desired to maximize surface finish or minimize roughness in finishing operations. When the surface roughness in turning is reduced to the low values typical for grinding operations, it is possible to skip the grinding step and shorten the entire manufacturing process, thereby generating substantial savings. The challenge facing the manufacturing industry is to improve surface finish without reducing cutting tool life, as reduced cutting tool life leads to increased production costs and 5 poor production rates. If the cryogenic fluid impingement angle (a) is steep enough, the problem of short tool life during cutting hard work materials is reduced. Work surface hardening that enhances surface finish {i.e., reduces roughness) and surface integrity (i.e., increases compressive stresses) can be permanent or temporary, lasting only as long as the material surface is cold and effective only during machining 10 operations. A permanent prehardening of work surface can include heat-treatment, diffusion carburizing, nitriding, polymer cross-linking, etc. As Applicants observed, the same work material produces better surface finish if it is hardened by a permanent treatment before machining. This is an alternative way of improving surface finish that does not involve increasing the spread angle (|3). 15 However, the combination of prehardening work material and an additional hardening • of it during machining using cryogen sprayed under a sufficiently large spread angle ((3) often results in further improvements of surface finish. Applicants observed that if the cryogenic chilling is used on an already prehardened work material (e.g., steel hardened by quenching and tempering or carburizing), the as-machined surface roughness drops right to the limit of 20 the conventionally calculated theoretical roughness (Ra-t), and if the geometry of the trailing edge of the cutting tool is correct, the as-machined surface roughness drops even below the conventional limit (Ra-t). The ideal arithmetic average surface roughness (AA) in turning or the conventional Ra-t limit is usually calculated from tool feedrate (f) and tool nose radius (r) as follows: f2 from C. Feng, An Experimental Study of the Impact of Turning Parameters on Surface Roughness, Paper No. 2036, Proceedings of the 2001 Industrial Engineering Research Conference of the Institute of Industrial Engineers (2001). Although widely accepted, this calculation is only approximate, because tool 5 geometry and feedrate of a turning tool allow onlyfor exact calculation of the maximum peak- to-valley roughness (Rt) and the ratio of Rt / Ra-t = m is simply an estimate for typical turning conditions. Even though Applicants' experimental work in finish-turning shows that the ratio (m) may vary from 3.6 to 7.8 ( per C. Feng), Applicants use herein the expression for Ra-t and m=4 as the normative limit for the ideal arithmetic average surface roughness 10 (AA) in turning. f and Ra.t=RJm The observations and discoveries made during Applicants' work on finish turning of metallic, composite, and polymer work materials can be integrated in the five qualitative equations below, in which: R^ arithmetic average surface roughness of machined surface, 15 H - hardness of work material during cutting operation, t -life of cutting tool, a - nozzle- controlled cryogenic jet impingement angle, A - nozzle-controlled area of tool rake surface that is impacted by boiling cryogenic fluid, H0 - initial hardness of work materia!, AHP - an increase in work material hardness as a result of optional prehardening step, [3 - nozzle- controlled cryogenic jet spread angle, f-tool feedrate during cutting, r-tool nose radius, 20 Ra-t - theoretical roughness limit for round cutting edge, n and m - constants greater than zero which can be determined from machining tests on specimens, and the signdenotes proportionality. p f1 and H and H-H0*AHp-n- & H0 + *Hp hence, R fj_ a 7 ni-r-jH 0 + dHp + n- t \ H0 + dH , 10 \ ° P/ and a-A* t H0 + dHp + .i- H0+AHp 15 Example 1: The effect of the cryogenic jet impingement angle (a) on cooling of a cutting insert was evaluated for various fiowrates and supply pressures. Liquid nitrogen (LIN) coolant was jetted using two simple, tubular nozzles such as that shown in Figure 2A. The internal termination of the nozzles was shaped to form a converging-diverging (CD), Laval-type fluidic 20 passage which can focus expanding cryogenic jets more precisely than straight-wall or converging-only fluid passages. The narrowest section of the throat of the first CD nozzle was 0.019 inches in diameter, and the second CD nozzle was 0.025 inches in diameter. At the supply pressure of 120 psig, the smaller nozzle jetted 1.1 lbs/minute of LIN, and the larger nozzle jetted 1.8 ibs/minute of LIN. An additional test with the larger nozzle at the 25 reduced supply pressure of 60 psig showed that the expanding jet was more confined or less bushy, and its flowrate was 1.2 Ibs/minute of LIN. LIN jets produced by each nozzle were aimed at the rake of a cutting insert typically used in finishing operations: CNGA/CNMG-432 (ISO) made of a relatively non-conductive AI203-TiCN ceramic composite material. The axial distance between the exit of each nozzle and the rake surface was kept constant at 0.5 inches. Two impingement angles (co were 5 evaluated for each jetting condition: 40° and 85°. A micro-thermocouple was placed right under the insert, under its cutting nose, to monitor temperature changes during the first two minutes of LIN jetting from room temperature. The test results graphed in Figure 3 show that a steep jet impingement angle (a=85°) is the most critical factor for a rapid and effective cooling of the cutting insert. The effect of jet bushing during expansion is less important but 10 not neglectable - the more confined, 60-psig jets were more effective than the 120-psig jets. Most surprisingly, the effect of LIN flowrate was found to be the least important of the three factors, indicating that the most cost-effective cryogenic fluid jet cooling method must optimize the impingement angle (a) and its confinement rather than simply maximize flowrates. 15 The test was repeated with another popular cutting insert usecMn finish turning operations: CNGA/CNMG-432 made of a thermally conductive cubic boron nitride (CBN) cutting nose brazed into a conductive WC-Co carbide holder. At the steep jet impingement angle (a=85°), cooling rates were found to be the same as for the non-conductive ceramic insert; the CBN/WC-Co cooling rate was only somewhat higher than before, and only at the 20 lower impingement angle (a=40°). Thus, the control of the jet impingement angle (a) was again found to be critical for cooling of the nose of the cutting tool, necessary for an effective and fast cutting of hard work materials. Iron, graphite, copper, and nickel powders were premixed to obtain the FN-0208 (MPIF class) composition (0.8-0.9%C, 0.8%Ni, 2.0%Cu, bal.Fe, all on weight basis), pressed into powder metallurgy (P/M) disks, and sintered to achieve two different density levels: 6.67 5 g/cm3 (6.67 Mg/m3), 'low-density' material, 14.5% porosity fraction, and 7.20 g/ cm3 (7.20 Mg/m3), 'high-density' material, 7.7% porosity fraction. Half of the disks from each density group were subsequently case hardened by heat-treating using the conventional procedures for achieving a high-level apparent hardness - at least 30 HRC in the case of the low density material, and at least 40 HRC in the case of the high density material. 10 Surface machining of so prepared P/M disks was carried out on a 20 kW CNC lathe, constant speed operation, using the following parameters: (1) cutting speed -1,000 ft/min. (305 m/min. or 5.08 m/s); (2).feedrate - 0.007 inch/rev. (0.178 mm/rev.); and (3) depth of cut -0.008 inches (0.203 mm). Alow-content", commercially available, uncoated PCBN cutting insert was used, grade BN250 with 2 cutting edges (popular, brazed tip type). Insert and 15 edge geometry-were as follows: CNMA-433, 0.005-inch land width (0.127 mm wide chamfer), -20° chamfer angle. The insert was mounted in the most commonly used type of . steel toolholders characterized by -5° rake and -5° inclination angles. The most conventional method of cutting fluid cooling was used during machining which involved flooding the insert and the P/M disks. The fluid used, a 9 vol% of emulsified oil in water, was flooded toward 20 the insert via tubing from a 20 psig (1.38 bar) supply pressure. Surface finish of the machined P/M disks was evaluated using an arithmetic, Ra- roughness meter, Surtcnic 10, available from Taylor Hobson, Ltd. Material hardness was measured on a Vickers scale (kG/mm2) using conventional and microhardness testers. The results are set forth in Table 1 below. The reduction of surface roughness [i.e., improvement 25 of. surface finish with increasing hardness) is clearly evident and shows that a thermo- mechanical surface hardening prior to machining is an effective measure for superfinishing. Table 1 P/M material condition: Apparent hardness, HV True (particle) hardness, HV Roughness, Ra in micrcinches As-sintered /soft disk, low-density 99 186 44 As-sintered /soft disk, high-density 127 189 43 Heat-treated /hardened disk, low-density 306 567 11 Heat-treated /hardened disk, high-density 399 569 8 Example 3: The as-sintered, soft P/M disks from Example 2 were surface machined using liquid 10 nitrogen (LIN) cryogenic jet cooling and a tool-clamping nozzle with an internal expansion chamber as shown in Figures 2C and 2D. At the LIN mass-flowrate of 1.8 Ibs/minute, and the supply pressure of 100 psig (6.89 bar), the nozzle produced a jet impringing at the rake surface under the impingement angle (a) equal 45° and spreading to the sides under the spread angle (P) equal 90°. A cost-effective, commercially available, AI203-TiC based, TiN- 15 coated (PVD), fine-grained black ceramic cutting insert was used which had four (4) cutting edges and geometry specified as follows: CNGA-433, 0.008-inch land (0.200 mm wide chamfer), -25° chamfer angle. Apart from the different insert and cooling method, all other conditions were the same as in Example 2. Table 2 compares the as-machined surface roughness of flood and LIN machined 20 disks and the life of cutting edge before an average tool flank wear (Vb.ave) reaches the value of 0.30 mm. It is clear that LIN cooling and hardening of the work material and of the cutting tool results in a substantial improvement of surface finish as well as tool life. Figure 4 compares the life of tools engaged in cutting of soft and prehardened parts. * - The life of tools is generally shorter as the material hardness increases,.but the life of the 25 LlN-cooled tools during machining of the hard parts is still longer than the life of the conventionally, flood-cooled tools during machining of the soft parts. Thus, it is cost-effective to completely skip the soft machining steps from the manufacturing process, then harden the work surface, and perform the finish turning using LIN cooling. Table 2 P/M material condition: Cooling method Roughness, Ra in microinches Cutting edge life in number of P/M • disks cut As-sintered /soft disk, iow- density Flood 44 92 As-sintered /soft disk, low- density LIN 24 337 As-sintered /soft disk, high- density Flood 43 94 As-sintered /sdft disk, nigh- density LIN 23 499 Example 4: 10 The effect of cryogenic jet spread angle (P) on surface finish was evaluated as a function of work material hardness and plasticity. A medical cobalt-chromium alloy, ASTM F-type (Co-Cr-Mo-Ni-Fe-Si-W-AI-Ti), with the average hardness of 44 HRC was selected for tests as a mid-hardness, somewhat gummy-machining material. A popular bearing steel, 52100 (1%C-1.5%Cr-0.35%Mn-0.20%Si-Bal.Fe), was heat-treated by quenching and low- 15 temperature tempering for the hardness of 60 HRC in order to represent the group of hard work materials. Both materials were cut using a 20 kW CNC lathe, constant speed operation, and the same type of commercially available cutting insert and toolholder an inexpensive, commercially available, AI203-TiC based, TiN-coated (PVD), fine-grained black ceramic insert CNGA-432, 0.004-inch chamfer, -20° chamfer angle, and a -5: rake / -5° 20 inclination angle toolhoider. The machining parameters were different for each work material, as shown in Table 3. Two types of tool-clamping/internal expansion chamber nozzles were used during machining of the two work materials: the first, shown in Figure 2D, with a spread ancle (P) of 90° and the second, shown in Figure 2E, with a spread angle (P) of 25\ The jet impingement angle (a) was the same for both nozzles and equaled 45°. Each nozzle was 5 supplied with LIN at the pressure of 100 psig, and each was spraying 1.8 lbs of LIN per minute. As in the previous Examples, surface finish of machined parts was examined using an average arithmetic, Ra-roughness meter, Surtonic 10, available from Taylor Hobson, Ltd. Resultant work surface roughness, Ra, known also as AA or CLA roughness, was 10 compared to the theoretical surface roughness limit, Ra-t, estimated from the following normative equation: Ra-t = f2 / (8 m r), where: f -tool feedrate, r -tool nose radias,- and m - roughness .conversion constant assumed to be 3.9 for the present surface-finish cutting operations. The results in Table 3 below show that: (1) a large cryogenic jet spread angle p improves work surface finish, but its effect is inversely proportional to work material 15 hardness; (2) harder and/or prehardened work materials produce a better surface finish, 1/Ra, when the finish is estimated using the theoretical roughness limit, Ra-t; and (3) the combination of prehardened work material and the hardening effect of cryogenic coolant applied during cutting can produce work surface roughness levels which are below the conventionally accepted, theoretical roughness limit, Ra-t. 20 Table 3 Work material Co-Cr alloy 52100 bearing steel Surface hardness 44HRC 60 HRC Cutting speed 900 ft/min 650 ft/min Feedrate 0.002 inch/rev. 0.004 inch/rev. Depth of cut 0.005 inches 0.008 inches Theoretical roughness limit. Ra-t, 4.1 microinches 16.4 microinches . Spread angle |3 of cryogenic nozie used 90° 25° 90° 25° Roughness measured, Ra, microinches 7.6 12.0 8.0 8.3 Roughness measured, Ra, as a percent of the theoretical roughness limit, Ra-t 185% 293 % 49% 51 % The low roughness levels shown in Table 3 and produced using LIN-hardening, as 5 well as thermal prehafdening combined with LIN-hardening during turning operations, can be fully appreciated when compared to the industrial standard roughness levels set forth in Table 4 below. Thus, Applicants' cutting method improves work surface finish to the point at which the conventional grinding and lapping operations may be eliminated and the costs of producing fine-finish parts are greatly reduced. 10 Table 4 Classification of machined surface finishes (ASM Handbook Desk Edition, 2001) Roughness, R | Approximate I relative cost Class Mm |jin Typical method of producing finish to produce Super finish 0.10 4 Ground, microhoned, lapped 40 Polish 0.20 8 Ground, honed, lapped 35 Ground 0.40 16 Ground, lapped 25 Smooth 0.80 32 Ground, milled 18 Fine 1.60 63 Milled, ground, reamed, broached 13 Semifine 3.2 125 Ground, broached, milled, turned 9 Medium 6.3 250 Shaped, milled, turned 6 Semirough 12.5 500 Milled, turned 4 Rough 25 1000 Turned 2 Cleanup 50 2000 Turned 1 The effect of tool wear and cooling method on surface finish was evaluated as shown in Figure 5. The work material was the same 52100 bearing steel as in Example 3 but tempered at higher temperature to reduce average surface hardness to 54 HRC. Cutting 5 speed was increased from 650 ft/minute to 750 ft/minute, but the feedrate, depth of cut, theoretical roughness limit (Ra-t), the tooling, and the LIN supply method were the same as used on the 52100 material in Example 4. LIN jet impingement angle (a) and spread angle ((3) were 45° and 25°, respectively. The comparative flood machining run used the flooding method as in Example 2. Results show that the surface roughness of the LIN machined 10 material is lower than in the case of flood cooling, even though the flank wear of the LIN cooled tool is less than the flank wear of the flooded tool. The intensity of insert cooling by LIN preserves the cutting edge, and a low-angle spread of LIN is sufficient for improving surface finish of the hard work material. Moreover, the actual roughness with LIN falls below the theoretical limit, Ra-t. Figures 5A and 5B show that flank wear or tool nose flattening 15 alone cannot explain the low roughness effect with LIN. Table 5 compares the surface finish of the harder steels (see Example 4) and the softer steels (see Figure 5B) machined with LIN jetting under the same impingement angle (a) and spread angle (|3). The harder 52100 surface, machined at a somewhat lower cutting speed, is smoother than the other one, indicating differences in the micro-plastic flow work material and chip around the cutting 20 edge. This is additional proof that LIN jet-cooling during cutting, as well as work surface prehardening, are effective means of controlling surface roughness. Table 5 Work surface hardness 60 HRC 5^ HRC Cutting speed 650 ft/min 750 ft/min Roughness measured, Ra. microinches 8.3 11 Roughness measured, Ra, as a percent of theoretical r.ou.qhness limit. Ra-t 51 % 67 % * » % Samples of 25 vol°b glass filled nylon composite, as well as samples cf plain polymers made of polypropylene, high-density polyethylene (HDPE), cast acrylic, and an acetal homopolymer Delrin-^ were p-epared for finish end-milling and through-noie drilling 5 tests using the LIN surface hardening method of the present invention. (DelrinD is a registered trademark or' E.I. Du Pont De Nemours and Company.) LIN jet was impinged at and around the tool-wcr 20 The effect of cryogenic cooling on work surface integrity and, most specifically, on residual stress distribution was evaluated during outer diameter, finish hard turning of alloy steel rings. The rings were made of M50 grade steel (0.85%C-4.1%Cr-4.2%Mc-1%V-Bal. Fe, wt. basis) quenchec and tempered to the hardness of 63 HRC. The lathe and toolholder used were the same as in Examples 2-5. One tool feedrate of 0.003 inches/revolution was 25 used throughout all testing runs described below. * k I The first test, Test A, used the conventional flood cooling as detailed in Example 2 and an expensive in use, commercially available, CBN cutting insert CNGA 432 KB5625. The tool, cooling method, and cutting speed selected for Test A represent the most typical, standard industrial machining conditions that have been developed during recent years by 5 trial and error and adopted to optimize tool life {i.e. tool cost and productivity) against resultant residual stresses which, ideally, should be highly compressive but may become more tensile when the tool is worn or the speed is higher. The next three tests, B, C, and D, used an inexpensive, AI20;-TiC based cutting insert detailed in Example 4. The cutting speed, corresponding to the production rate, that was selected for Tests B-D was over 3.7- 10 times higher than the conventional, represented by Test A. Table 6 presents the key conditions and cooling methods used for all four tests. Each cryogenic test used LIN as a cooling medium and a confining jet nozzle type shown in Figure 2E. The shape of the constricting orifice in that nozzle was rectangular, and the size was 0.080 inches by 0.025 inches plus or minus 0.010 inches. The impingement angle (a) 15 was relatively steep (653) and the spread angle ((3) was narrow (25°) Th order to maximize tool cooling effect over the entire length of tool-work contact arc. An additional cooling and hardening of work material was provided in Tests C and D by the simultaneous use of a secondary nozzle, a simple CD nozzle with the restricting orifice (throat) diameter of 0.035 inches plus or minus 0.005 inches. The secondary nozzle was aimed at the insert's rake and 20 cutting edge on the traiiing side of the contact length, i.e. just downstream of the axis of the LIN jet formed by the pimary, confining jet nozzle. Residual stresses were measured on the rings machined under the presented conditions using the standard X-ray diffraction method based on the change of lattice spacing as described in the "Handbook of Residual Stress and Deformation of Steel", Edited * 25 by G. Totten et al., ASM International, Ohio, 2002, pp. 112-T13. An additional procedure of a repeated, step-wise X-'ay measurement and electroetching a thin layer of tested material * s * was used in order to define stress distribution deeper under the materia! surface. The step¬wise procedure, commonly used in the manufacturing industries, has been described by E. Brinks et al. in publication "Residual Stresses - Measurement and Causes in Machining Processes", Annals of the CIRP, Vol. 31/2/1982, pp. 491-510. Results of the X-ray 5 measurements of residual stress distribution are plotted in Figure 6. Table 6 Test Cutting speed (ft/minute) Depth of cut (inches) Cooling method Cryogenic nozzie type(s) used Remarks A 350 0.010 ; Emulsion flooded i from 28 psig ! back pressure None Low heat input generated by machininc B 1300 0.010 LIN jetted from 100 psig back pressure Confined jet nozzle shown in Fiq. 2E High heat input generated by machininc C 1300 0.015 LIN jetted from 100 psig back pressure Two nozzles used: [1] confined jet nozzle shown in Fig. 2E and [2] CD nozzle shown in Fiq. 2A The highest heat input generated by machining D 1300 0.010 LIN jetted from 100 psig back pressure Two nozzles used: [1] confined jet nozzle shown in Fig. 2E and [2] CD nozzle shown in Fiq. 2A High heat input generated by machining The plots show that residual stress is compressive in all four cases but the use of cryogenic cooling significantly increases the degree of the surface compression and the 10 depth to which compressive stress can penetrate the material processed. The best results are obtained for Test C and Test D, both using the most cooling and hardening, doubie nozzle arrangement. Test C results in slightly less compressive stresses than Test D because the depth of its cut is 50% higher, i.e., the amount of heat entering the material, or the degree of material softening is higher. By maintaining work surface and tcol material. » * 15 cool and hard, the disciosed cryogenic method and apparatus enable the use of less Although illustrated and described herein with reference to certain specific embodiments, the present invention is nevertheless not intended to be limited to the details shown. Rather, various modifications may be made in the details within the scope and range of equivalents of the claims and without departing from the spirit of the invention. CLAIMS 1. A method for improving at least one of a surface finish and a surface integrity of a workpiecs formed or shaped with a tool, the workpiece having a surface hardness, comprising increasing the surface hardness of the workpiece during forming or shaping of the workpiece with the tool. 2. A method as in claim 1, wherein the surface hardness of the workpiece is increased by cooling with a cryogenic fluid at least a portion of the tool, or at least a portion of the workpiece, or at least a portion of the tool and at least a portion of the workpiece. 3. A method as in claim 2, wherein a jet of the cryogenic fluid impinges on a portion of the tool and a portion of a surface of the workpiece. 4. A method as in claim 3, wherein the jet of the cryogenic fluid impinges on the portion of the tool at an impingement angle (a) greater than about 0° and less than about 90°. 5. A method as in claim 3, wherein the jet of the cryogenic fluid impinges on the portion of the tool at an impingement angle (a) greater than about 30° and less than about 90°. 6. A method as in claim 3, wherein the jet of the cryogenic fi jid impinges on the surface of the 'workpiece at a spread angle ((3) greater than about 0° a-d less than about 180°. 7. A method for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool, the workpiece having a surface hardness, comprising increasing the surface hardness of the workpiece prior to forning or shaping the workpiece with the tool, or during forming or shaping of the workpiece with the tool, or both prior to and during forming or shaping of the workpiece with the tool. 8. A method as in claim 7, wherein the surface hardness of the workpiece is increased by at least one of a heat treatment, a chemical treatment, and a mechanical treatment. 9. A method for improving at least one of a surface finish and a surface integrity of a workpiece machined with a cutting tool, the workpiece having a surface hardness, comprising increasing the surface hardness of the workpiece during machining of the workpiece with the cutting tool, wherein the surface hardness of the workpiece is increased by cooling with a cryogenic fluid at least a portion of the cutting tool and at least a portion of the workpiece, and a jet of the cryogenic fluid impinges on a portion of the cutting tool at an impingement angle (a> greater than about 0° and less than about 90°, and the jet of the cryogenic fluid impinges on the surface of the workpiece at a spread angle ((3) greater than about 0° and less than about 180°. 10. A method for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool, comprising the steps of: providing a supply of a cryogen; providing a nozzle adjacent the workpiece, the nozzle having * ' at least one inlet adapted to receive a flow of the cryogen, an upstream portion in fluid communication with the at least one inlet, the upstream portion adapted to receive at least a portion of the flow of the cryogen from the at least one inlet, a downstream portion in fluid communication with the upstream portion and adapted to receive at least a portion of the flow of the cryogen from the upstream portion, and . at least one outlet in fluid communication with the downstream portion and adapted to receive and transmit from the downstream portion at least a portion of the flow of the cryogen; delivering a portion of the cryogen to the at least one inlet of the nozzle, wherein the cryogen is at least partially separated within the downstream portion of the nozzle into a condensed phase portion and a vapor portion; and jetting at least a portion of an expanding jet of the condensed phase portion and the vapor portion from the at least one outlet of the nozzle to the tool and a surface of the workpiece. 11. A method as in claim 10, wherein the downstream portion of the nozzle has at least one diverging wall and at least one converging wall adapted to converge on the expanding jet. 12. A method as in claim 11, wherein the at least one diverging wall has a angle and the at least one converging wall has a converging angle iess than the angle. diverging diverging » 13. A method as in claim 11, wherein the diverging wall is open to an ambient atmosphere. 14. A method for improving at least one of a surface finish and a surface integrity of a workpiece machined with a cutting tool, comprising the steps of: providing a supply of a cryogen; providing a nozzle adjacent the workpiece, the nozzle having at least one inlet adapted to receive a flow of the cryogen, an upstream portion in fluid communication with the at least one inlet, the upstream portion adapted to receive at least a portion of the flow of the cryogen from the at least one inlet, a downstream portion in fluid communication with the upstream portion and adapted to receive at least a portion of the flow of the cryogen from the upstream portion, and at least one outlet in fluid communication with the downstream portion and adapted to receive and transmit from the downstream portion at least a portion of the flow of the cryogen; delivering a portion of the cryogen to the at least one inlet of the nozzle, wherein the cryogen is at least partially separated within the downstream portion of the nozzle into a condensed phase portion and a vapor portion; and jetting at ieast a portion of an expanding jet of the condensed phase portion and the vapor portion from the at least one outlet of the nozzle to the cutting tool and a surface of the workpiece, whereir. the downstream portion of the nozzle has at least one diverging wall open to an ambient atmosphere and at least one converging wall adapted to converge on the expanding jet, and wherein the at least one diverging wall has a diverging angle and the at least one converging wall has a converging angle less than the diverging angle. 15. A method for forming or shaping a workpiece having a surface hardness, comprising the steps of: providing a tool adjacent the workpiece, the tool adapted to form or shape the workpiece; forming or shaping the workpiece with the tool; and increasing the surface hardness of the workpiece during forming or . . shaping of the workpiece with the tool. 16. A workpiece formed or shaped by a method as in ciaim 15 and characterized by an improved surface finish, an improved surface integrity, or both an improved surface finish and an improved surface integrity. 17. A workpiece as in claim 16, said workpiece having a work surface roughness (Ra), wherein the work surface roughness (Ra) is equal to or less than a theoretical low roughness limit (Ra-t), calculated as Ra^f2 / (32 r), where f is a cutting tool feedrate and r is a cutting tool nose radius. 18. A workpiece as in claim 16, wherein the workpiece has a formed or shaped work surface characterized by an improved residual stress, said improved residual stress being more compressive, deeper extending, or both more compressive and deeper emending than another residual stress that would be obtained by forming dr shaping the workpiece without increasing the surface hardness of the workpiece during forming or shaping of the workpiece. 19. A workpiece as in claim 16, wherein the workpiece contains at least one metallic alloy having at least one element selected from a group consisting of cobalt (Co), chromium (Cr), molybdenum (Mo), nickel (Ni), iron (Fe), tungsten (W), aluminum (Al), and titanium (Ti). 20. A workpiece as in claim 16, wherein at least a portion of the workpiece is in a form selected from a group consisting of a cast form, wrought form, powcer metallurgy form, and composite form. 21. A workpiece as in claim 16, wherein the workpiece contains at least one polymer or at least one polymer-based composite. 22. A workoiece as in claim 16, wherein the workpiece has a formed or shaped work surface characterized by at least one of an improved fatigue strength, an improved fatigue life, an improved stress-cracking resistance, and an improved corrosion resistance. 23. A method for machining a workpiece having a surface hardness, comprising the steps of: providing a cutting tool adjacent the workpiece, the cutting tool adapted to shape the workpiece; „ shaping the workpiece with the cutting tool; and increasing the surface hardness of the workpiece during shaping of the workpiece with the cutting tool, wherein the shaped workpiece is characterized by an improved surface finish having a work surface roughness (Ra) equal to or less than a theoretical low roughness limit (Ra-t), calculated as Ra-'^f2(32 r), where f is a cutting tool feedrate and r is a cutting tool nose radius. 24. A method for manufacturing a finished part or a finished product from a workpiece having a surface hardness, comprising the steps of: providing a tool adjacent the workpiece, the tool adapted to form or shape the workpiece; forming or shaping the workpiece with the tool; increasing the surface hardness of the workpiece during forming or shaping of the workpiece with the tool; and manufacturing the finished part or the finished product from the workpiece shaped or formed with the tool. 25. A method as in claim 24, wherein the finished part or the finished product is manufactured from the workpiece without using at least one additional operation needed by at least one other method for manufacturing a comparable finished part or a comparable finished product which the other method forms or shapes from a comparable workpiece having a comparable surface hardness without increasing the compa*able surface hardness of the comparable workpiece during forming or shaping of the comparable workpiece, said at least one additional operation being selected from a group consisting of grinding, polishing, honing, ce'ourring, peening, tumbling, burnishing, deep rolling, soft annealing, soft machining, soft shaping, soft forming, and work part cleaning. 26. A finished part or a finished product manufactured by a method as in claim 24 and characterized by a reduced manufacturing cost, said reduced manufacturing cost being less than a higher manufacturing cost for a comparable finished part or a comparable finished product manufactured by at least one other method which forms or shapes a comparable workpiece having a comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece during forming or shaping of the comparable workpiece. 27. A method for manufacturing a finished part from a workpiece having a surface hardness, comprising the steps of: providing a cutting tool adjacent the workpiece, the cutting tool adapted to shape the workpiece; shaping the workpiece with the cutting tool; increasing the surface hardness of the workpiece durine-shaping of the workpiece with the cutting tool; and manufacturing the finished part from the workpiece shaped with the cutting tool, wherein the finished part is manufactured from the workpiece without using at least one additional operation needed by at least one other method for manufacturing a comparable finished part which the other method shapes from a comparable workpiece having a comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece during shaping of the comparable workpiece, said at least one»additional operation being selected from a group consisting of grinding, polishing, honing, deburring, peening, tumbling, burnishing, deep rolling, soft annealing, sof. machining, soft shaping, soft forming, and work part cleaning. 28. An apparatus for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool, the workpiece having a surface hardness, comprising means for increasing the surface hardness of the workpiece during forming or shaping of the workpiece with the tool. 29. An apparatus as in claim 28, wherein the surface hardness of the workpiece is increased by cociing with a cryogenic fluid at least a portion of the tool, or at least apportion of the workpiece, or at least a portion of the tool and at least a portion of the workpiece. 30. An apparatus as in claim 29, wherein a jet of the cryogenic fluid impinges on a portion jjf the tool and a portion of a surface of the workpiece. 31. An apparatus as in claim 30, wherein the jet of the cryogenic fluid impinges on the portion of the tool at an impingement angle (a) greater than about 0° and less than about 90°. 32. An apparatus as in claim 30, wherein the jet of the cryogenic fluid impinges on the portion of the tool at an impingement angle (a; greater than about 30c and less than about 90°. 33. An apparatus as in claim 30, wherein the jet of the cryogenic fluid impinges on the surface of the workpiece at a spread angle (P) greater than about 0° and less than about 180°. 34. An apparatus for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool, the workpiece having = surface • hardness, comprising means for increasing the surface hardness of the workpiece prior to forming or shaping the workpiece with the tool, or during forming or shaping of the workpiece with the tool, or both prior to and during forming or shaping of the-workpiece with the tool. 35. An apparatus as in claim 34, wherein the surface hardness of the workpiece is increased by at least one of a heat treatment, a chemical treatment, and a mechanical treatment. 36. A apparatus for improving at least one of a surface finish and a surface integrity of a workpiece machined with a cutting tool, the workpiece having a surface hardness, comprising means for increasing the surface hardness of the workpiece during machining of the workpiece with the cutting tool, wherein the surface hardness of the workpiece is increased by cooiing with a cryogenic fluid at least a portion of the cutting tool and at least a portion of the workpiece, and a jet of the cryogenic fluid impinges on a portion of the cutting tool at ar, impingement angle (a) greater than about 0° and less than about SO0, and the jet of the cryogenic fluid impinges on the surface of the workpiece at a scread ancie (p) greater than about 0° and iess than about 180°. 37. An apparatus for improving at least one of a surface finish and a surface integrity of a workpiece formed or shaped with a tool, comprising: a supply of a cryogen; a nozzle adjacent the workpiece, the nozzle having at least one inlet adapted to receive a flow of the cryogen, an upstream portion in fluid communication with the at least one inlet, the upstream portion adapted to receive at least a portion of the flow of the cryogen from the at least one inlet, a downstream portion in fluid communication with the upstream portion and adapted to receive at least a portion of the flow of the cryogen from the upstream portion, and at least one outlet in fluid communication with the downstream portion and adapted to receive and transmit from the downstream portion at least a portion of the flow of the cryogen; means for delivering a portion of the cryogen to the at least one inlet of the nozzle, wherein the cryogen is at least partially separated within the downstream portion of the nozzle into a condensed phase portion and a vapor portion; and means for jetting at least a portion of an expanding jet of the condensed phase portion and the vapor portion from the at least one outlet of the nozzle to the tool and a surface of the workpiece. 38. An apparatus as in claim 37, wherein the downstream portion of the nozzle has at least one diverging wall and at least one converging wall adapted to converge on the expanding jet. 39. An apparatus as in claim 38, wherein the at least one diverging wall has a diverging angle and the at least one converging wall has a converging angle less than the diverging angle. 40. An apparatus as in claim 38, wherein the diverging wall is coen to an ambient atmosphere. 41. An apparatus for improving at least one of a surface finish and a surface integrity of a workpiece machined with a cutting tool, comprising: a supply of a cryogen; a nozzle adjacent the workpiece, the nozzle having . . at least one inlet adapted to receive a flow of the cryogen, an upstream portion in fluid communication with the at least one inlet, the upstream portion adapted to receive at least a portion of the flow of the cryogen from the at least one inlet, a downstream portion in fluid communication with the upstream portion and adapted to receive at least a portion of the flow of the cryogen from the upstream portion, and at least one outlet in fluid communication with the downstream portion and adapted to receive and transmit from the downstream portion at least a portion of the flow of the cryogen; means for delivering a portion of the cryogen to the at least one iniet of the nozzle, wherein the cryogen is at least partially separated within the downstream portion of the nozzle into a condensed phase portion anc a vapor portion; and * ' means for jetting at least a portion of an expanding jet of the condenses phase portion and the vapor portion from tne at least one outlet of the nozzie to the cutting tool and a surface of the wcroiece. whereir the downstream portion of the nczzle has at least one diverging wall open :c an ambient atmosphere and a: least ere converging wall adapted tc converge on the expanding jet, and wherein the at ieast one diverging v.all has a diverging angle and the at least cne converging wail has a convening a~gle less than the diverging angle. 42. An apparatus for forming or shaping a workpiece having a surface hardness, comprising: a tool adjacent the workpiece, the tool adapted to for- or snaps the workpiecS; means for forming or shaping the workpiece with the tooi; and means for increasing the surface hardness of the workpiece during forming or shaping of the workpiece with the tooi. 43. A workpiece formed or shaped by an apparatus as in ciaim 42 and characterized by an improved surface finish, an improved surface integrity, or both an improved surface finish and an improved surface integrity. 44. A workpiece as in claim 43, said workpiece having a v.-ork surface roughness (Ra), whe'sin the //ork surface roughness (Ra) is equal t: c ^ess than a theoretical low roughness limit '=la-t), calculated as Ra-t=f2 / (32 r), where f 5 cutting tool feedrate and r is a cuf.nc tooi rose radius. 45. A workpiece as in claim 43, wherein the workpiece has a formed or shaped work surface characterized by an improved residual stress, said imprcvec residual stress being more compressive, ceeper extending, or both more compressive and deeper extending than another resicual stress that would be obtained by forming cr shaping the workpiece without usrg a reans *'or increasing the surface hardness of the v.orkpiece during forming or shaping of tne workpiece. 46. A workpiece as in claim 43, wherein the workpiece contains at least one metallic alloy having at least one element selected from a group consisting of cobalt (Co), chromium (Cr), molybdenum (Mo), nickel (Ni), iron (Fe), tungsten (W), aluminum (A!), and titanium (Ti).. . 47. A workpiece as in claim 43, wherein at least a portion of the workpiece is in a form selected from a group consisting of a cast form, wrought form, powder metallurgy form, and composite form. 48. A work?;ece as in claim 43, wherein the workpiece contains at ieast one polymer or at least one pciymer-based composite. 49. A workpiece as in claim 43, wherein the workpiece has a formed or shaped work surface charactsnzed by at least one of an improved fatigue strength, an improved fatigue life, an imprc/ed stress-cracking resistance, and an improved corrosion resistance. 50. An apparatus for machining a workpiece having a surface hardness, comprising: a cutting tool adjacent the workpiece, the cutting too! adapted to shape the wc-cpieoe; mean; for shaping the workpiece with the cutting tooi: and mears for increasing the surface hardness of the wcnoiece during shaping of the .vorkpiece with the cutting tool, wherein the shaped workpiece is characterized by an improved surface finish having a work surface roughness (R=; equal to or less than a theoretical low roughness limit (Ra-t), calculated as Ra-t=f2 / (32 r), where f is a cutting tool feedrate and r is a cutting tool ncse radius. 51. An apparatus for manufacturing a finished part or a finished product from a workpiece having a s_T"ace hardness, comprising: a tool adjacent the workpiece, the tool adapted to form or shape the workpiece: means -'or forming or shaping the workpiece with the tool; means "or increasing the surface hardness of the workpiece during forming or shaping of the workpiece with the tool; and means -'or manufacturing the finished part or the finished product from ' the workpiece snaped or formed with the tool. 52. An ap:=-atus as in claim 51, wherein the finished par: c the finished product is manufactu-ed fror tie workpiece without using at least one additional operation needed by at least ore other apparatus for manufacturing a comparable finished part or a comparable finished product .-.rich the other apparatus forms or shapes fror. 5 comparable workpiece having a comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece during forming or shaping of the comparable workpiece. said at least one additional operation being selected from a group consisting of grinding, poiishing, honing, peburring, peening, tumbling, burnishing, deep rolling, soft annealing, soft machining, sc* shaping, soft forming, and work part cleaning. 53. A finis" ed part or a finished product manufactured by ar. apparatus as in claim 51 and characterized oya reduced manufacturing cost, said reduced manufacturing cost being less than a higher manufacturing cost for a comparable finished part or a comparable finished product manufactured by at least one other apparatus which forms or shapes a comparable workpiece having a comparable surface hardness without increasing the comparable surface hardness of the comparable workpiece during forming or shaping of the comparable workpiece. 54. An apparatus for manufacturing a finished part from a workpiece having a surface hardness, comprising: a cutting tool adjacent the workpiece, the cutting toe! adapted to shape the workpiece; means for shaping the workpiece with the cutting tool: means "'or increasing the surface hardness of the workpiece during shaping of the workpiece with the cutting tool; and means for manufacturing the finished part from the workpiece shaped with the cutting tool, wherein the finished part is manufactured from tie workpiece without -jsing at least one additional operation needed p/ at least one other apparatus for manufacturing a comparable finished part which the other apparatus shapes from a comparable workpiece having a cornpa-abie surface hardness without increasing the comparable surface bareness of the comparable workpiece during shaping of the conpa'able workpiece, said at least one additional operation being se:ec;e: from, a group consisting of grinding, polishing, honing, ceourr-g, ceening, tumbling, burnishing, deep rolling, soft annealing, son machining, soft shaping, soft forming, and work part cleaning. 55. A nozzle for jetting an expanding jet of a cryogen to a surface of a workpiece, comprising: at least one inlet adapted to receive a flow of the cryogen; an upsrearn portion in fluid communication with the at least one inlet, the upstream portion adapted to receive at least a portion of the flow of the cryogen from tine at least one inlet; a dow-.stream portion in fluid communication with the upstream portion and acaoted to receive at least a portion of the flow of the cryogen from the upstream portion; at least one outlet in fluid communication with the downstream portion and adapted tc 'eceive and transmit from the downstream portion at least a portion of the few of the cryogen; and means -'or separating the cryogen at least partially intc a condensed phase portion snc a vapor portion within the downstream portion of the nozzie. 56. A nozzle as in claim 55, further comprising an internal expansion chamber adapted to confine the expanding jet of the cryogen, wherein the nozzle is adapted to clamp a cutting tool having a tool rake surface. 57. A nozzle as in claim 55, wherein the downstream portion of the nozzle has at least one diverging wail anc at least one converging wall adapted to converge on the expanding jet of the cryogen. 58. A nozzle as in claim 57, wherein the diverging wall has a diverging angle and the converging wall has a converging angle less than the diverging angle. 59. A nozzle as in claim 57, wherein the diverging wall is open to an ambient atmosphere. 60. A nozzle for jetting an expanding jet of a cryogen to a surface of a workpiece, comprising: at least one inlet adapted to receive a flow of the cryogen; an upstream portion in fluid communication with the at least one inlet, the upstream portion adapted to receive at least a portion of the flow of the cryogen from the at least one inlet; a downstream portion in fluid communication with the upstream portion and adapted to receive at ieast a portion of the flow of the cryogen from the upstream portion; at least one outlet in fluid communication with the downstream portion and adapted to receive and transmit from the downstream portion at least a portion of the ficw of the cryogen; means for separating the cryogen at least partially into a condensed phase po,-ion and a vapor portion within the downstream portion of the nozzie: arc ar. internal expansion chamber adapted to confine the expanding jet of the crycger. wherein the downstream portion of the nozzle has at least one diverging wall open to an ambient atmosphere anc at least one converging wall adapted to converge on the expanding jet of the cryogen. and wherein the diverging wall has a diverging angle and the converging wall has a converging angle less than the diverging angle, and wherein the nozzle is adapted to clamp a cutting tool having a tool rake surface. Dated this 22 day of March 2005 Of DePENNING & DePENNING AGENT FOR THE APPLICANTS

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