Stresses in a Transversely Isotropic Slab Having a Spherical Cavity

[+] Author and Article Information
A. Atsumi

Department of Mechanical Engineering II, Tohoku University, Sendai, Japan

S. Itou

Department of Mechanical Engineering, Hachinohe Institute of Technology, Hachinohe, Japan

J. Appl. Mech 40(3), 752-758 (Sep 01, 1973) (7 pages) doi:10.1115/1.3423085 History: Received November 01, 1971; Revised November 01, 1972; Online July 12, 2010


This paper deals with the analysis of the stress distribution arising in a transversely isotropic infinite slab with a symmetrically located spherical cavity under all-around tension. Difficulties in satisfying both boundary conditions on the surfaces of the slab and the surface of the cavity are successfully overcome by using the methods of Hankel transform and Schmidt-orthogonormalization. For some practical materials the influence of transverse isotropy upon stress distribution is presented in the form of curves.

Copyright © 1973 by ASME
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