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TECHNICAL PAPERS

Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat

[+] Author and Article Information
L. Kogut, I. Etsion

Department of Mechanical Engineering, Technion, Haifa 32000, Israel

J. Appl. Mech 69(5), 657-662 (Aug 16, 2002) (6 pages) doi:10.1115/1.1490373 History: Received August 06, 2001; Revised December 14, 2001; Online August 16, 2002
Copyright © 2002 by ASME
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References

Vu-Quoc,  L., Zhang,  X., and Lesburg,  L., 2000, “A Normal Force-Displacement Model for Contacting Spheres Accounting for Plastic Deformation: Force-Driven Formulation,” ASME J. Appl. Mech., 67, pp. 363–371.
Liu,  G., Wang,  Q. J., and Lin,  C., 1999, “A Survey of Current Models for Simulating the Contact between Rough Surfaces,” Tribol. Trans., 42, pp. 581–591.
Bhushan,  B., 1996, “Contact Mechanics of Rough Surfaces in Tribology: Single Asperity Contact,” Appl. Mech. Rev., 49, pp. 275–298.
Bhushan,  B., 1998, “Contact Mechanics of Rough Surfaces in Tribology: Multiple Asperity Contact,” Tribol. Lett., 4, pp. 1–35.
Greenwood,  J. A., and Williamson,  J. B. P., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, 295, pp. 300–319.
Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity, 3rd Ed., McGraw-Hill, New York.
Abbott,  E. J., and Firestone,  F. A., 1933, “Specifying Surface Quality—A Method Based on Accurate Measurement and Comparison,” Mech. Eng. (Am. Soc. Mech. Eng.), 55, p. 569.
Chang,  W. R., Etsion,  I., and Bogy,  D. B., 1987, “An Elastic-Plastic Model for the Contact of Rough Surfaces,” ASME J. Tribol., 109, pp. 257–263.
Evseev,  D. G., Medvedev,  B. M., and Grigoriyan,  G. G., 1991, “Modification of the Elastic-Plastic Model for the Contact of Rough Surfaces,” Wear, 150, pp. 79–88.
Chang,  W. R., 1997, “An Elastic-Plastic Contact Model for a Rough Surface With an Ion-Plated Soft Metallic Coating,” Wear, 212, pp. 229–237.
Zhao,  Y., Maietta,  D. M., and Chang,  L., 2000, “An Asperity Microcontact Model Incorporating the Transition From Elastic Deformation to Fully Plastic Flow,” ASME J. Tribol., 122, pp. 86–93.
Kucharski,  S., Klimczak,  T., Polijaniuk,  A., and Kaczmarek,  J., 1994, “Finite-Elements Model for the Contact of Rough Surfaces,” Wear, 177, pp. 1–13.
Hardy,  C., Baronet,  C. N., and Tordion,  G. V., 1971, “The Elasto-Plastic Indentation of a Half-Space by a Rigid Sphere,” Int. J. Numer. Methods Eng., 3, pp. 451–462.
Kral,  E. R., Komvopoulos,  K., and Bogy,  D. B., 1993, “Elastic-Plastic Finite Element Analysis of Repeated Indentation of a Half-Space by a Rigid Sphere,” ASME J. Appl. Mech., 60, pp. 829–841.
Komvopoulos,  K., and Ye,  N., 2001, “Three-Dimensional Contact Analysis of Elastic-Plastic Layered Media with Fractal Surface Topographies,” ASME J. Tribol., 123, pp. 632–640.
Giannakopoulos,  A. E., 2000, “Strength Analysis of Spherical Indentation of Piezoelectric Materials,” ASME J. Appl. Mech., 67, pp. 409–416.
Mesarovic,  S. D., and Fleck,  N. A., 2000, “Frictionless Indentation of Dissimilar Elastic-Plastic Spheres,” Int. J. Solids Struct., 37, pp. 7071–7091.
Tabor, D., 1951, The Hardness of Metals, Clarendon Press, Oxford, UK.
Chang,  W. R., Etsion,  I., and Bogy,  D. B., 1988, “Static Friction Coefficient Model for Metallic Rough Surfaces,” ASME J. Tribol., 110, pp. 57–63.
Reddy, J. N., 1993, An Introduction to the Finite Element Method, 2nd Ed., McGraw-Hill, New York.
Owen, D. R. J., and Hinton, E., 1980, Finite Elements in Plasticity: Theory and Practice, Pineridge Press, Swansea, UK.
Zhong, Z. H., 1993, Finite Element Procedures for Contact Impact Problems, Oxford University Press, New York.
Liu,  G., Zhu,  J., Yu,  L., and Wang,  Q. J., 2001, “Elasto-Plastic Contact of Rough Surfaces,” Tribol. Trans., 44, pp. 437–443.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
Francis,  H. A., 1976, “Phenomenological Analysis of Plastic Spherical Indentation,” ASME J. Eng. Mater. Technol., 98, pp. 272–281.

Figures

Grahic Jump Location
A deformable sphere pressed by a rigid flat
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Evolution of the plastic region in the sphere tip for 12≤ω/ωc≤110
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Evolution of the plastic region in the sphere tip for 1≤ω/ωc≤11
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Dimensionless radial location, r/acc, of the inner elastic-plastic boundary on the sphere surface showing its shrinkage for 6≤ω/ωc≤68
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Radial location of inner and outer elastic-plastic boundaries on the sphere surface for 6≤ω/ωc≤110
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Dimensionless mean contact pressure, p/Y, as a function of the dimensionless interference, ω/ωc, in the elastic-plastic regime
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Dimensionless contact area, A/Ac, as a function of the dimensionless interference, ω/ωc, in the elastic-plastic regime
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Dimensionless contact load, P/Pc, as a function of the dimensionless interference, ω/ωc, in the elastic-plastic regime

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