Asymmetric Contact Problem Including Wear for Nonhomogeneous Half Space

[+] Author and Article Information
T. S. Sankar, V. Fabrikant

Department of Mechanical Engineering, Concordia University, Montreal, Quebec, Canada

J. Appl. Mech 49(1), 43-46 (Mar 01, 1982) (4 pages) doi:10.1115/1.3162068 History: Received November 01, 1980; Revised June 01, 1981; Online July 21, 2009


Contact problem with wear for asymmetric rigid die acting on a half space whose elastic modulus is a power function of depth is considered for the case when the die is rotating according to an arbitrary law. Zone of contact is taken to be a circle, and the wear is proportional to the work done by the tangential stresses obeying Coloumb’s law. Integral equation of the problem is derived and an exact solution of the equation is obtained in closed form. The case of inclined flat die is discussed as an illustrative example of the general method of solution that is proposed.

Copyright © 1982 by ASME
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