A General Treatment of the Elastic Field of an Elliptical Inhomogeneity Under Antiplane Shear

[+] Author and Article Information
S. X. Gong, S. A. Meguid

Engineering Mechanics and Design Laboratory, Department of Mechanical Engineering, University of Toronto, Toronto, Ontario M5S 1A4, Canada

J. Appl. Mech 59(2S), S131-S135 (Jun 01, 1992) doi:10.1115/1.2899477 History: Received March 19, 1991; Revised August 21, 1991; Online March 31, 2008


A general solution to the antiplane problem of an elliptical inhomogeneity in an isotropic elastic medium is provided. The proposed analysis is based upon the use of conformal mapping and Laurent series expansion of the corresponding complex potentials. The general expressions of the complex potentials are derived explicitly in both the elliptical inhomogeneity and the surrounding matrix. Several specific solutions are provided in closed form which are verified by comparison with existing ones. The effect of material and geometrical parameters upon the change of the elastic energy, due to the presence of an elliptical inhomogeneity, has also been considered.

Copyright © 1992 by The American Society of Mechanical Engineers
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