Decomposition of the Deformation Gradient in Thermoelasticity

[+] Author and Article Information
A. Imam, G. C. Johnson

Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA 94720

J. Appl. Mech 65(2), 362-366 (Jun 01, 1998) (5 pages) doi:10.1115/1.2789063 History: Received August 08, 1996; Revised August 10, 1997; Online October 25, 2007


The deformation gradient of a thermoelastic solid undergoing large deformations is decomposed into elastic and thermal components, corresponding to an intermediate configuration which is assumed to be stress-free. This decomposition is shown to be unique only to within a rigid-body motion of the intermediate configuration. An alternate decomposition is proposed in which this arbitrariness is removed. The thermoelastic theory developed on the basis of these decompositions is linearized, resulting in familiar expressions of linear thermoelasticity. The stress response function is further specialized for the particular case of isotropic linear solids.

Copyright © 1998 by The American Society of Mechanical Engineers
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