Axisymmetric Singular Stresses in a Thick-Walled Spherical Shell With an Internal Edge Crack

[+] Author and Article Information
A. Atsumi, Y. Shindo

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

J. Appl. Mech 50(1), 37-42 (Mar 01, 1983) (6 pages) doi:10.1115/1.3167014 History: Received November 01, 1981; Revised July 01, 1982; Online July 21, 2009


The paper considers the elastostatic axisymmetric problem for a thick-walled spherical shell containing a circumferential edge crack on the inner surface. The ring-shaped edge crack and the inner surface of the spherical shell are subjected to internal pressure. Using an integral transform technique we obtain a singular integral equation of the first kind which has a generalized Cauchy kernel as the dominant part. The integral equation is solved numerically, and the influence of the geometrical configuration on the stress-intensity factor and the crack-opening displacement is shown graphically in detail.

Copyright © 1983 by ASME
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