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Thermoelasticity without energy dissipation

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Abstract

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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Green, A.E., Naghdi, P.M. Thermoelasticity without energy dissipation. J Elasticity 31, 189–208 (1993). https://doi.org/10.1007/BF00044969

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  • DOI: https://doi.org/10.1007/BF00044969

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