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Thermoelasticity without energy dissipation

✍ Scribed by A. E. Green; P. M. Naghdi

Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
788 KB
Volume
31
Category
Article
ISSN
0374-3535

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✦ Synopsis

This paper deals with thermoelastic material behavior without energy dissipation; it deals with both nonlinear and linear theories, although emphasis is placed on the latter. In particular, the linearized theory of thermoelasticity discussed possesses the following properties: (a) the heat flow, in contrast to that in classical thermoelasticity characterized by the Fourier law, does not involve energy dissipation; (b) a constitutive equation for an entropy flux vector is determined by the same potential function which also determines the stress; and (c) it permits the transmission of heat as thermal waves at finite speed. Also, a general uniqueness theorem is proved which is appropriate for linear thermoelasticity without energy dissipation.

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