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RESEARCH PAPERS

Crack Problem for a Semi-Infinite Solid With Heated Bounding Surface

[+] Author and Article Information
H. Sekine

Department of Mechanical Engineering, Tohoku University, Sendai, Japan

J. Appl. Mech 44(4), 637-642 (Dec 01, 1977) (6 pages) doi:10.1115/1.3424149 History: Received June 01, 1976; Revised February 01, 1977; Online July 12, 2010

Abstract

On the basis of the stationary two-dimensional theory of thermoelasticity, the thermal stresses near the tips of a thermally insulated line crack situated in a semi-infinite solid which is heated on a part of the bounding surface is considered. The crack is replaced by continuous distributions of temperature dislocations and edge dislocations. Then the integral equations are obtained as a system of singular integral equations with Cauchy kernels. By means of this method, the singular behavior of the thermal stresses around the crack tips is easily examined and the stress-intensity factors can be readily evaluated. Numerical results for the stress-intensity factors are plotted in terms of the geometrical parameters.

Copyright © 1977 by ASME
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