Two-Phase Potentials for the Treatment of an Elastic Inclusion in Plane Thermoelasticity

[+] Author and Article Information
M. A. Kattis, S. A. Meguid

Engineering Mechanics and Design Laboratory, Department of Mechanical Engineering, University of Toronto, 5 King’s Road, Toronto, ON M5S 1A4, Canada

J. Appl. Mech 62(1), 7-12 (Mar 01, 1995) (6 pages) doi:10.1115/1.2895878 History: Received July 07, 1992; Revised September 20, 1993; Online October 30, 2007


A solution to the uncoupled two-dimensional steady-state heat conduction and thermoelastic problems of an elastic curvilinear inclusion embedded in an elastic matrix, with different thermomechanical properties, is provided. The proposed analysis describes the heat conduction problem in terms of one holomorphic complex potential and the thermoelastic problem in terms of two holomorphic potentials; known hereafter as two-phase potentials. The general results of the developed analysis are applied to specific examples and explicit forms of the solution are obtained. It is shown that a uniform heat flow at infinity induces a linear stress distribution within the elliptic inclusion.

Copyright © 1995 by The American Society of Mechanical Engineers
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