Thermal Stresses in a Generally Anisotropic Body With an Elliptic Inclusion Subject to Uniform Heat Flow

[+] Author and Article Information
C. K. Chao

Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan, 106, R.O.C.

M. H. Shen

Department of Mechanical Engineering, Nakai Jr. College of Technology, Nantou, Taiwan, R.O.C.

J. Appl. Mech 65(1), 51-58 (Mar 01, 1998) (8 pages) doi:10.1115/1.2789045 History: Received April 03, 1995; Revised August 03, 1997; Online October 25, 2007


A general analytical solution for the elliptical anisotropic inclusion embedded in an infinite anisotropic matrix subjected to uniform heat flow is provided in this paper. Based upon the method of Lekhnitskii formulation, the technique of conformal mapping, the method of analytical continuation, and the concept of superposition, both the solutions of the temperature and stress, functions either in the matrix or in the inclusion are expressed in complex matrix notation. Numerical results are carried out and provided in graphic form to elucidate the effect of material and geometric parameters on the interfacial stresses. Since the general solutions have not been found in the literature, comparison is made with some special cases of which the analytical solutions exist, which shows that our solutions presented here are exact and general.

Copyright © 1998 by The American Society of Mechanical Engineers
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