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RESEARCH PAPERS

Thermoelasticity When the Material Coupling Parameter Equals Unity

[+] Author and Article Information
O. W. Dillon

Department of Aerospace and Mechanical Sciences, Princeton University, Princeton, N. J.

J. Appl. Mech 32(2), 378-382 (Jun 01, 1965) (5 pages) doi:10.1115/1.3625810 History: Received May 01, 1964; Online September 15, 2011

Abstract

Analytical solutions of three problems in coupled thermoelasticity are presented for the case when the material coupling parameter equals unity. The problems considered are: (a) Danilovskaya’s problem of a step function in temperature at the surface; (b) a step function in surface strain; and (c) constant velocity impact. Solutions are presented for the case of thin bars (one-dimensional stress) and are obtained by the Laplace-transform technique. There is great simplification in the equations when the material coupling parameter equals unity which permits the straightforward inversion of the transformed solutions. The results demonstrate significant deviations from the corresponding uncoupled solutions.

Copyright © 1965 by ASME
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