The 〈111〉 Elliptic Inclusion in an Anisotropic Solid of Cubic Symmetry

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

Department of Metallurgy and Materials Engineering, Lehigh University, Bethlehem, Pa. 18015

J. Appl. Mech 49(2), 353-360 (Jun 01, 1982) (8 pages) doi:10.1115/1.3162093 History: Received September 01, 1981; Revised December 01, 1981; Online July 21, 2009


This paper deals with a generalized plane problem in which a uniform stress-free strain transformation takes place in the region of an elliptic cyclinder (the inclusion) oriented in the 〈111〉 direction in an anisotropic solid of cubic symmetry. Closed-form solutions for the elastic fields and the strain energies are presented. The perturbation of an otherwise uniform stress field due to a 〈111〉 elliptic inhomogeneity is also treated including two extreme cases, elliptic cavities and rigid inhomogeneities.

Copyright © 1982 by ASME
Topics: Stress , Cavities
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