Transient Thermoelastic Problem for an Infinite Medium With a Spherical Cavity Exhibiting Temperature-Dependent Properties

[+] Author and Article Information
Jerzy Nowinski

The University of Texas, Austin, Tex.

J. Appl. Mech 29(2), 399-407 (Jun 01, 1962) (9 pages) doi:10.1115/1.3640561 History: Received May 08, 1961; Online September 16, 2011


This paper is concerned with a polarly symmetric transient thermoelastic problem for an infinite medium with a spherical cavity, the boundary of the cavity being subjected to a sudden temperature rise. Thermal and elastic properties of the medium are assumed to be temperature dependent. Using the perturbation method general equations for the displacements and stresses corresponding to particular boundary-value problems have been found. An illustrative example, involving linear variation of conductivity and thermal expansion as well as quadratic variation of shear modulus with temperature, has been discussed in detail.

Copyright © 1962 by ASME
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