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RESEARCH PAPERS

Transient Thermoelastic Fields in a Transversely Isotropic Infinite Solid With a Penny-Shaped Crack

[+] Author and Article Information
N. Noda

Department of Mechanical Engineering, Shizuoka University, Hamamatsu, Shizuoka 432, Japan

F. Ashida

Department of Mechanical Engineering, Tsuyama College of Technology, Tsuyama, Okayama 708, Japan

J. Appl. Mech 54(4), 854-860 (Dec 01, 1987) (7 pages) doi:10.1115/1.3173128 History: Received October 15, 1985; Revised April 01, 1987; Online July 21, 2009

Abstract

The present paper deals with a transient thermoelastic problem for an axisymmetric transversely isotropic infinite solid with a penny-shaped crack. A finite difference formulation based on the time variable alone is proposed to solve a three-dimensional transient heat conduction equation in an orthotropic medium. Using this formulation, the heat conduction equation reduces to a differential equation with respect to the spatial variables. This formulation is applied to attack the transient thermoelastic problem for an axisymmetric transversely isotropic infinite solid containing a penny-shaped crack subjected to heat absorption and heat exchange through the crack surface. Thus, the thermal stress field is analyzed by means of the transversely isotropic potential function method.

Copyright © 1987 by ASME
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