Stresses in a Transversely Isotropic Half Space Having a Spherical Cavity

[+] Author and Article Information
A. Atsumi

Department of Mechanical Engineering II, Tohoku University, Sendai 980, Japan

S. Itou

Department of Mechanical Engineering, Hachinohe Institute of Technology, Hachinohe 031, Japan

J. Appl. Mech 41(3), 708-712 (Sep 01, 1974) (5 pages) doi:10.1115/1.3423376 History: Received September 01, 1973; Revised February 01, 1974; Online July 12, 2010


In this paper, a solution is given for the stresses and displacements around a spherical cavity in a transversely isotropic homogeneous elastic half space under all-around tension. The traction-free boundary conditions on the faces of the plane and on the cavity are satisfied with the aid of Hankel transforms and the Schmidt method, respectively. Numerical calculations are carried out for some practical materials.

Copyright © 1974 by ASME
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