Axisymmetric Stress Field Around Spheroidal Inclusions and Cavities in a Transversely Isotropic Material

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

International Business Machines Corporation, Systems Development Division, Endicott, N. Y.

J. Appl. Mech 35(4), 770-773 (Dec 01, 1968) (4 pages) doi:10.1115/1.3601303 History: Received February 29, 1968; Revised June 17, 1968; Online September 14, 2011


A spheroidal inclusion is embedded in an elastic matrix composed of a different material. Both materials are transversely isotropic with the material property axes parallel to the geometric axis of the spheroid. At the interface, the two materials are bonded. The matrix is subjected to a uniform axisymmetric stress field at infinity. Explicit expressions for the stress and displacement fields in the inclusion and the matrix will be presented. The analysis is within the realm of classical linear elasticity.

Copyright © 1968 by ASME
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