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Stresses During Micromolding of Metals at Elevated Temperatures: Pilot Experiments and a Simple Model

Published online by Cambridge University Press:  03 March 2011

W.J. Meng
Affiliation:
Mechanical Engineering Department, Louisiana State University, Baton Rouge, Louisiana 70803
D.M. Cao
Affiliation:
Mechanical Engineering Department, Louisiana State University, Baton Rouge, Louisiana 70803
G.B. Sinclair
Affiliation:
Mechanical Engineering Department, Louisiana State University, Baton Rouge, Louisiana 70803
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Abstract

The Lithographie, Galvanoformung, Abformung (LIGA) technique is important for making metal-based high-aspect-ratio microscale structures (HARMS) and microdevices derived from metal-based HARMS. Recently, molding replication of HARMS made of Pb, Zn, and Al has been demonstrated, advancing LIGA technology from the state where only polymer-based HARMS could be replicated by molding. This demonstration offers a potential means for economical fabrication of a wide variety of metal-based microdevices. Micromolding of a metal requires heating the metal to be molded to a significant fraction of its melting temperature. At high temperatures, the strength of the mold insert itself will typically decrease. The insert strength thus places a limit on the range of materials that can be molded. In this paper, micromolding and tensile experiments on Pb were carried out. A simple mechanics model of the micromolding process was developed. This model relates the stresses on the insert during micromolding primarily to the yield strength of the molded metal and frictional tractions on the sides of the insert. Reasonable agreement was obtained between the Pb experiments and the model predictions. Ramifications for other material systems are discussed.

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Articles
Copyright
Copyright © Materials Research Society 2004

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References

REFERENCES

1Huang, L., Wang, W., Murphy, M.C., Lian, K. and Ling, Z.G.: LIGA fabrication and test of a DC type magnetohydrodynamic (MHD) micropump. Microsystem Technol. 6, 235 (2000).CrossRefGoogle Scholar
2Kondo, R., Takimoto, S., Suzuki, K. and Sugiyama, S.: High aspect ratio electrostatic micro actuators using LIGA process. Microsystem Technol. 6, 218 (2000).CrossRefGoogle Scholar
3Williams, J.D. and Wang, W.: Microfabrication of an electromagnetic power micro-relay using SU-8 based UV-LIGA technology. Microsystem Technol. (2005, in press).Google Scholar
4Harris, C., Kelly, K., Wang, T., McCandless, A. and Motakef, S.: Fabrication, modeling, and testing of micro-cross-flow heat exchangers. JMEMS 11, 726 (2002).Google Scholar
5Friedrich, C., Coane, P., Goettert, J. and Gopinathin, N.: Precision of micromilled x-ray masks and exposures. Microsystem Technol. 4, 21 (1997).CrossRefGoogle Scholar
6Lowe, H. and Ehrfeld, W.: State-of-the-art in microreaction technology: Concepts, manufacturing and applications. Electrochim. Acta 44, 3679 (1999).CrossRefGoogle Scholar
7Madou, M.: Fundamentals of Microfabrication (CRC Press, Boca Raton, FL, 2000).Google Scholar
8Zhuang, Y. and Podlaha, E.J.: NiCoFe ternary alloy deposition - I. An experimental kinetic study. J. Electrochem. Soc. 147, 2231 (2000).CrossRefGoogle Scholar
9Becker, E.W., Ehrfeld, W., Munchmeyer, D., Betz, H., Heuberger, A., Pongratz, S., Glashauser, W., Michel, H.J. and Siemens, V.R.: Production of separation-nozzle systems for uranium enrichment by a combination of x-ray-lithography and galvanoplastics. Naturwissenschaften 69, 520 (1982).CrossRefGoogle Scholar
10Heckele, M., Bacher, W. and Muller, K.D.: Hot embossing—The molding technique for plastic microstructures. Microsystem Technol. 4, 122 (1998).CrossRefGoogle Scholar
11Piotter, V., Mueller, K., Plewa, K., Ruprecht, R. and Hausselt, J.: Performance and simulation of thermoplastic micro injection molding. Microsystem Technol. 8, 387 (2002).CrossRefGoogle Scholar
12Adams, D.P., Vasile, M.J., Benavides, G. and Campbell, A.N.: Micromilling of metal alloys with focused ion beam-fabricated tools. Precis. Eng. 25, 107 (2001).CrossRefGoogle Scholar
13Benavides, G.L., Bieg, L.F., Saavedra, M.P. and Bryce, E.A.: High aspect ratio meso-scale parts enabled by wire micro-EDM. Microsystem Technol. 8, 395 (2002).CrossRefGoogle Scholar
14Takahata, K., Shibaike, N. and Guckel, H.: High-aspect-ratio WC-Co microstructure produced by the combination of LIGA and micro-EDM. Microsystem Technol. 6, 175 (2000).CrossRefGoogle Scholar
15Ruprecht, R., Gietzelt, T., Muller, K., Piotter, V. and Hausselt, J.: Injection molding of microstructured components from plastics, metals and ceramics. Microsystem Technol. 8, 351 (2002).CrossRefGoogle Scholar
16Ruprecht, R., Benzler, T., Hanemann, T., Muller, K., Konys, J., Piotter, V., Schanz, G., Schmidt, L., Thies, A., Wollmer, H. and Hausselt, J.: Various replication techniques for manufacturing three-dimensional metal microstructures. Microsystem Technol. 4, 28 (1997).CrossRefGoogle Scholar
17Liu, Z.Y., Loh, N.H., Tor, S.B., Murakoshi, Y., Maeda, R., Khor, K.A. and Shimidzu, T.: Injection molding of 316L stainless steel microstructures. Microsystem Technol. 9, 507 (2003).CrossRefGoogle Scholar
18Cao, D.M., Guidry, D., Meng, W.J. and Kelly, K.W.: Molding of Pb and Zn with microscale mold inserts. Microsystem Technol. 9, 559 (2003).CrossRefGoogle Scholar
19Cao, D.M., Wang, T., Feng, B., Meng, W.J. and Kelly, K.W.: Amorphous hydrocarbon based thin films for high-aspect-ratio MEMS applications. Thin Solid Films 398, 553 (2001).CrossRefGoogle Scholar
20Cao, D.M., Meng, W.J., Simko, S.J., Doll, G.L., Wang, T. and Kelly, K.W.: Conformal deposition of Ti-C:H coatings over high-aspect-ratio micro-scale structures and tribological characteristics. Thin Solid Films 429, 46 (2003).CrossRefGoogle Scholar
21Cao, D.M. and Meng, W.J.: Microscale compression molding of Al with surface engineered LIGA inserts. Microsystem Technol. 10, 662 (2004).CrossRefGoogle Scholar
22Cho, H.S., Hemker, K.J., Lian, K., Goettert, J. and Dirras, G.: Measured mechanical properties of LIGA Ni structures. Sens. Actuators A. 103, 59 (2003).CrossRefGoogle Scholar
23Cao, D.M., Meng, W.J. and Kelly, K.W.: High-temperature instrumented microscale compression molding of Pb. Microsystem Technol. 10, 323 (2004).CrossRefGoogle Scholar
24 Binary Alloy Phase Diagrams, edited by Massalski, T.B. (American Society of Metals, Metals Park, OH, 1986).Google Scholar
25 ABAQUS Standard User’s Manual, Revision 6.4 (Hibbit, Karlsson and Sorenson Inc., Pawtucket, RI, 2003).Google Scholar
26 ANSYS Advanced Analysis Techniques, Revision 8.0 (ANSYS Inc., Cannonsburg, PA, 2003).Google Scholar
27Sinclair, G.B. and Meng, W.J. A summary of hardness dependence on ball indentation, Report MA 1-04, Mechanical Engineering Department, Louisiana State University, Baton Rouge, LA (2004).Google Scholar
28Hertz, H.R.: On the contact of elastic solids (in German). J. Reine Angew. Math. 92, 156 (1882).CrossRefGoogle Scholar
29Spence, D.A.: Hertz contact problem with finite friction. J. Elasticity 5, 297 (1975).CrossRefGoogle Scholar
30Huber, M.T.: On the contact of elastic solids (in German). Annl. Phys. 14, 153 (1904).CrossRefGoogle Scholar
31Sinclair, G.B., Follansbee, P.S. and Johnson, K.L.: Quasi-static normal indentation of an elasto-plastic half-space by a rigid sphere 2: Results. Int. J. Solids Struct. 21, 865 (1985).CrossRefGoogle Scholar
32Tabor, D.: The Hardness of Metals (Clarendon Press, Oxford, U.K., 1951).Google Scholar
33Samuels, L.E. and Mulhearn, T.O.: An experimental investigation of the deformed zone associated with indentation hardness impressions. J. Mech. Phys. Solids 5, 125 (1957).CrossRefGoogle Scholar
34Follansbee, P.S. and Sinclair, G.B.: Quasi-static normal indentation of an elasto plastic half-space by a rigid sphere 1: Analysis. Int. J. Solids Struct. 20, 81 (1984).CrossRefGoogle Scholar
35Lee, C.H. and Kobayashi, S.: Analysis of ball indentation. Int. J. Mech. Sci. 14, 417 (1972).CrossRefGoogle Scholar
36Sneddon, I.N.: Fourier Transforms (McGraw-Hill, New York, 1951).Google Scholar
37 Smithells Metals Reference Book, 7th ed, edited by Brandes, E.A. and Brook, G.B. (Butterworth-Heinemann, Oxford, U.K., 1998).Google Scholar
38Boussinesq, J. On the application of potentials to study the equilibrium stresses and deflections in elastic solids (in French) (Gauthier-Villars, Paris, France, 1885).Google Scholar
39Spence, D.A.: Self similar solution to adhesive contact problems with incremental loading. Proc. R. Soc. A 305, 55 (1968).Google Scholar
40Steuermann, I.Y.: Contact Problem of the Theory of Elasticity (Gostekhteoretizdat, Moscow, U.S.S.R., 1949).Google Scholar
41Ciavarella, M., Hills, D.A. and Monno, G.: The influence of rounded edges on indentation by a flat punch. Proc. Instn. Mech. Eng. 212C, 319 (1998).Google Scholar
42Zak, A.R.: Stresses in the vicinity of boundary discontinuities in bodies of revolution. J. Appl. Mech. 31, 150 (1964).CrossRefGoogle Scholar
43Sadowsky, M.A.: Two-dimensional problems of elasticity theory (in German). Z. Angew. Math. Mech. 8, 107 (1928).CrossRefGoogle Scholar
44Huber, M.T. and Fuchs, S.: Stresses for the contact of two elastic cylinders (in German). Physikalische Z. 15, 298 (1914).Google Scholar
45 American Society for Testing and Materials, Standard Test Methods for Tension Testing of Metallic Materials E8 (2001).Google Scholar
46 CRC Handbook of Chemistry and Physics, edited by Lide, D.R. (CRC Press, Boca Raton, FL, 2003).Google Scholar