Conservation Laws and Material Momentum in Thermoelasticity

[+] Author and Article Information
G. Francfort, A. Golebiewska Herrmann

Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, Stanford, Calif. 94305

J. Appl. Mech 49(4), 710-714 (Dec 01, 1982) (5 pages) doi:10.1115/1.3162593 History: Received March 01, 1982; Online July 21, 2009


The main goal of this paper is to construct a Lagrangian function such that not only the well-known equations of thermoelasticity, but also material conservation laws can be derived. As action variables, the position x of a material particle and a scalar function η related to temperature are used. The material momentum for thermoelasticity is derived. Here, by contrast to the purely elastic case, the material momentum depends on a time interval rather than on an instant of time. The balance of material momentum is integrated over time to produce a relation reminiscent of the impulse-momentum equation in classical mechanics.

Copyright © 1982 by ASME
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