A Circular Inclusion With Circumferentially Inhomogeneous Sliding Interface in Plane Elastostatics

[+] Author and Article Information
C. Q. Ru

Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, TGG 2G8, Canada

J. Appl. Mech 65(1), 30-38 (Mar 01, 1998) (9 pages) doi:10.1115/1.2789042 History: Received October 15, 1996; Revised June 02, 1997; Online October 25, 2007


A general method is presented to obtain the rigorous solution for a circular inclusion embedded within an infinite matrix with a circumferentially inhomogeneous sliding interface in plane elastostatics. By virtue of analytic continuation, the basic boundary value problem for four analytic functions is reduced to a first-order differential equation for a single analytic function inside the circular inclusion. The finite form solution is obtained that includes a finite number of unknown constants determined by the analyticity of the solution and certain other auxiliary conditions. With this method, the exact values of the average stresses within the circular inclusion can be calculated without solving the full problem. Several specific examples are used to illustrate the method. The effects of the circumferential variation of the interface parameter on the mean stress at the interface and the average stresses within the inclusion are discussed.

Copyright © 1998 by The American Society of Mechanical Engineers
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