A Self-Consistent Scheme for Elastic-Plastic Asperity Contact
Authors: Xu Jianguo
In this paper, a generalized self-consistent scheme, or “three phase model", is used to set up a micro-mechanics model for rough surface contact with randomly distributed asperities. The dimensionless average real pressure p is obtained as function of the ratio of the real contact area to the apparent contact area, 0 A / A r . Both elastic and plastic materials are considered, and the influence of the plasticity of material on p is discussed. Both two-dimensional and three-dimensional rough surface contact problems are considered.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1077809Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1393
 J. R. Barber, and M. Ciavarella, "Contact mechanics," International Journal of Solids and Structures, Vol. 37, pp. 29-43, 2000.
 K. L. Johnson, Contact Mechanics. Cambridge, UK: Cambridge University publisher, 1985.
 H. H. Yu, and Z. Suo, "A model for wafer bonding by elastic accommodation," Journal of the Mechanics and Physics of Solids, Vol. 46, No. 5, pp. 829-844, 1998.
 A. Majumdar, and B. Bhushan, "Characterization and modeling of surface roughness and contact mechanics," in Micro/Nano tribology, 2nd ed., B. Bhushan Ed. New York, USA: CRC Press, 1999.
 B. Bhushan, Principles and applications of tribology. New York, USA: John Eiley & Sons, 1999.
 R. M. Christensen, "A critical evaluation for a class of micro-mechanics models," Journal of the Mechanics and Physics of Solids, Vol. 38, Issue 3, pp. 379-404, 1990.
 R. M. Christensen, Mechanics of composite materials. New York, USA: John Wiley, 1979.
 H. Fan, Introduction to tensor analysis and applications (Part C). Nanyang Technological University, SG: lecture note, 2000.
 R. Hill, "A self-consistent mechanics of composite materials," Journal of the Mechanics and Physics of Solids, Vol. 13, Issue 4, pp. 213-222, 1965.
 B. Budiansky, "On the elastic moduli of some heterogeneous materials," Journal of the Mechanics and Physics of Solids, Vol. 13, Issue 4, pp. 223-227, 1965.
 H. Fan, and K.Y. Sze, "A micro-mechanics model for imperfect interface in dielectric materials," Mechanics of Materials, vol. 33, pp. 363-370, 2001.
 F. Erdogan, "Mixed boundary value problems in mechanics," in Mechanics Today, Vol. 4. New York, USA: Pergamon Press, 1975.
 ANSYS User-s Manual, Release 5.6.2. 2000.
 W H. M. estergaard, "Bearing pressures and cracks," Journal of Applied Mechanics, Vol. 6(A), pp. 49-53, 1939.
 J. Dunders, K. C. Tsai, and L. M. Keer, "Contact between elastic bodies with wavy surfaces," Journal of Elasticity, Vol. 3, No. 2, pp. 109-115, 1973.
 H. Fan, and K. Y. Sze, "A self-consistent scheme for asperity contact," Key Engineering Materials, Vol. 227, pp. 17-22, 2002.
 B. Bhushan, Tribology and Mechanics of Magnetic Storage Device, 2nd Ed. New York, USA: Springer, 1996.