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RESEARCH PAPERS

On Some Problems in Spherically Isotropic Elastic Materials

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

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

J. Appl. Mech 33(3), 539-546 (Sep 01, 1966) (8 pages) doi:10.1115/1.3625119 History: Received February 22, 1965; Revised November 22, 1965; Online September 15, 2011

Abstract

In this paper, we study the elasticity problem of a spherically isotropic elastic medium bounded by two concentric spherical surfaces. General solutions in terms of infinite series are presented. Specifically, we consider some axisymmetric problems such as: concentrated force in an infinite medium, stress concentration due to a spherical cavity, and a steadily rotating shell. In all these cases, the infinite series terminate, and closed-form solutions are possible. Steady-state thermal stress problems are also considered.

Copyright © 1966 by ASME
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