Stress Concentration Around Spheroidal Inclusions and Cavities in a Transversely Isotropic Material Under Pure Shear

[+] Author and Article Information
W. T. Chen

IBM Corporation, Systems Development Division, Endicott, N. Y.

J. Appl. Mech 37(1), 85-92 (Mar 01, 1970) (8 pages) doi:10.1115/1.3408494 History: Received September 20, 1968; Revised September 23, 1969; Online July 12, 2010


This paper presents an exact solution for the stress distribution around an elastic spheroidal inclusion in an infinite transversely isotropic elastic body which is otherwise under a pure shear stress. The stresses and displacements are expressed in terms of elementary functions. The technically important consideration of the stress concentrations around a spheroidal cavity is discussed. Numerical results are given for a number of hexagonal crystals.

Copyright © 1970 by ASME
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