Two-Dimensional Contact on an Anisotropic Elastic Half-Space

[+] Author and Article Information
Hui Fan, L. M. Keer

Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208

J. Appl. Mech 61(2), 250-255 (Jun 01, 1994) (6 pages) doi:10.1115/1.2901437 History: Received June 01, 1992; Revised March 08, 1993; Online March 31, 2008


The two-dimensional contact problem for a semi-infinite anisotropic elastic media is reconsidered here by using the formalism of Es he I by et al. (1953) and Stroh (1958). The approach of analytic function continuation is employed to investigate the half-space contact problem with various mixed boundary conditions applied to the half-space. A key point of the solution procedure suggested in the present paper is its dependence on a general eigenvalue problem involving a Hermitian matrix. This eigenvalue problem is analogous to the one encountered when investigating the behavior of an interface crack (Ting, 1986). As an application, the interaction between a dislocation and a contact strip is solved. The compactness of the results shows their potential for utilization to solve the problem of contact of a damaged anisotropic half-space.

Copyright © 1994 by The American Society of Mechanical Engineers
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