Antiplane Strain Problems of an Elliptic Inclusion in an Anisotropic Medium

[+] Author and Article Information
H. C. Yang, Y. T. Chou

Department of Metallurgy and Materials Science, Lehigh University, Bethlehem, Pa.

J. Appl. Mech 44(3), 437-441 (Sep 01, 1977) (5 pages) doi:10.1115/1.3424097 History: Received November 01, 1976; Revised February 01, 1977; Online July 12, 2010


The antiplane strain problem of an elliptic inclusion in an anisotropic medium with one plane of symmetry is solved. Explicit expressions of compact form are obtained for the elastic field inside the inclusion, the stress at the boundary, and the strain energy of the system. The perturbation of an otherwise uniform stress field due to an elliptic inhomogeneity is studied, and explicit solutions are given for the extreme cases of an elliptic cavity and a rigid elliptic inhomogeneity. It is found that both the stress magnification at the edge of the inhomogeneity and the increase of strain energy depend only on the component P23A of the applied stress for an elongated cavity; and depend only on the component E13A of the applied strain for a rigid line inhomogeneity.

Copyright © 1977 by ASME
Topics: Stress , Cavities
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