Explicit Solutions for the Antiplane Problem of Bonded Dissimilar Materials with Two Concentric Circular-Arc Inclusions

[+] Author and Article Information
C. K. Chao, S. P. Wu

Department of Mechanical Engineering, National Taiwan Institute of Technology, Taipei, Taiwan 106, Republic of China

J. Energy Resour. Technol 117(1), 1-6 (Mar 01, 1995) (6 pages) doi:10.1115/1.2835315 History: Received November 11, 1993; Revised October 14, 1994; Online January 22, 2008


A general solution to the antiplane problem of two concentric circular-arc inclusions in bonded dissimilar materials is provided. Based upon the Hilbert problem formulation and the technique of analytical continuation, the expressions of the complex potentials are derived explicitly in both the unit disk and the surrounding medium. Both the stress singularity coefficients and contact stress are provided in an explicit form and the former are verified by comparison with the existing ones. The effects of material and geometrical parameters upon the contact stress and stress singularity coefficients are examined and shown in graphic form. Failure initiation of an infinite bi-material plate with two arc inclusions is also discussed.

Copyright © 1995 by The American Society of Mechanical Engineers
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