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TECHNICAL PAPERS

Normal Indentation of Elastic Half-Space With a Rigid Frictionless Axisymmetric Punch

[+] Author and Article Information
G. Fu

Department of Mechanical Engineering, Iowa State University, Ames, IA 50011

J. Appl. Mech 69(2), 142-147 (Sep 21, 2001) (6 pages) doi:10.1115/1.1445145 History: Received June 05, 2001; Revised September 21, 2001
Copyright © 2002 by ASME
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References

Hay,  J. C., Bolshakov,  A., and Pharr,  G. M., 1999, “Critical Examination of the Fundamental Relations Used in the Analysis of Nanoindentation Data,” J. Mater. Res., 14, pp. 2296–2305.
Komanduri,  R., Lucca,  D. A., and Tani,  Y., 1997, “Technological Advances in Fine Abrasive Processes,” Ann. CIRP, 46, No. 2, pp. 545–596.
Fu,  G., and Chandra,  A., 2001, “A Model for Wafer Scale Variation of Material Removal Rate in Chemical Mechanical Polishing Based on Elastic Pad Deformation,” J. Electron. Mater., 30, pp. 400–408.
Shield,  T. W., and Bogy,  D. B., 1989, “Some Axisymmetric Problem for Layered Elastic Media: Part I—Multiple Region Contact Solutions for Simple-Connected Indenters,” ASME J. Appl. Mech., 56, pp. 798–806.
Gladwell, G. M. L., 1980, Contact Problems in the Classical Theory of Elasticity, Sijthoff & Noordhoof, Alphen aan den Rijn, The Netherland.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
Love,  A. E. H., 1939, “Boussinesq’s Problem for a Rigid Cone,” Quarterly J. Math. 10, pp. 161–175.
Sneddon,  I. N., 1948, “Boussinesq’s Problem for a Rigid Cone,” Proc. Cambridge Philos. Soc. 44, pp. 492–507.
Collins,  W. D., 1963, “Potential Problems for a Circular Annulus,” Proc. Edinburgh Math. Soc., 13, pp. 235–246.
Popov,  G. Ia., 1962, “The Contact Problem of the Theory of Elasticity for the Case of a Circular Area of Contact,” J. Appl. Math. Mech., (English translation of PMM), 26, pp. 207–225.
Green, A. E., and Zerna, W., 1954, Theoretical Elasticity, Oxford University Press, London.
Wolfram, S., 1991, Mathematica–A System for Doing Mathematica by Computer, Addison-Wesley, Reading, MA.

Figures

Grahic Jump Location
Normal indentation of an elastic half-space
Grahic Jump Location
One-half power punch. The pressure is normalized with respect to −E/1−ν2.
Grahic Jump Location
Conical punch. The pressure is normalized with respect to −E/1−ν2.
Grahic Jump Location
Three-half power punch. The pressure is normalized with respect to −E/1−ν2.
Grahic Jump Location
Parabolic punch. The pressure is normalized with respect to −E/1−ν2.

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