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A new viscoelastic constitutive model for continuous media at finite thermomechanical changes. (English) Zbl 0909.73038
This paper is concerned with the continuum formulation of a fully coupled thermo-mechanical constitutive model for highly deformable bodies with viscous dissipation. The three-dimensional material law is applicable to the thermomechanical characterization of elastomeric (high-polymeric) solids in the finite strain domain under varying temperature. The description is based on the concept of internal state variables and rational thermodynamics. The main goal of the presentation is to develop consistent constitutive equations for the stress, entropy and independent internal variables such that the second law of thermodynamics, in the form of the Clausius-Duhem inequality, is satisfied.

MSC:
74D10 Nonlinear constitutive equations for materials with memory
74A20 Theory of constitutive functions in solid mechanics
74A15 Thermodynamics in solid mechanics
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