The principles of reversible thermodynamics can be used to place constraints on the form of the constitutive law in thermoelastic problems. The constraints indicate that the use of stress-rates can lead to complications in the form of the constitutive law that are removed when rates are not employed. In fact, in a large rotation small strain thermoelastic problem the stress can be written directly in terms of the symmetric part of the deformation gradient, and the temperature. The rotation at each point can be removed by the solution of an eigenvalue problem. For the large rotation large strain inelastic problem with varying temperatures, the work presented in this paper can be further developed for determining thermodynamically consistent constitutive models.
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