Interaction Between a Rigid Indenter and a Near-Surface Void or Inclusion

[+] Author and Article Information
G. R. Miller, L. M. Keer

Department of Civil Engineering, Northwestern University, Evanston, Ill. 60201

J. Appl. Mech 50(3), 615-620 (Sep 01, 1983) (6 pages) doi:10.1115/1.3167099 History: Received December 01, 1982; Online July 21, 2009


A solution is presented to the two-dimensional problem of a rigid indenter sliding with friction on a half plane containing a near-surface imperfection in the form of a circular void or rigid inclusion. The complex variable formulation of Muskhelishivili is used to reduce the problem to a Fredholm integral equation of the second kind. This integral equation is solved numerically thus enabling the numerical calculation of the stress field. The behavior of the stress field is depicted in plots of the contact stress distribution and the subsurface maximum shear stress field. Results are presented showing location and size effects in the case of an inclusion, and finally, comparisons are made between the disturbances due to inclusions and voids.

Copyright © 1983 by ASME
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