Dependence of Stress Upon Temperature Gradient for an Ideally Elastic Solid Isotropic and Homogeneous in the Reference State

[+] Author and Article Information
A. W. Marris

Georgia Institute of Technology, Atlanta, Ga.

J. Villanueva

School of Engineering Mechanics, Georgia Institute of Technology, Atlanta, Ga.

J. Appl. Mech 31(3), 419-422 (Sep 01, 1964) (4 pages) doi:10.1115/1.3629657 History: Received July 25, 1963; Revised December 27, 1963; Online September 15, 2011


This paper postulates that the stress tensor of a Cauchy-elastic material depends upon the first temperature-gradient vector in addition to the deformation gradient and local temperature. Consequences of this postulate are examined for the particular cases of a body constrained to no deformation and to simple isochoric shear.

Copyright © 1964 by ASME
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