A note on Onsager’s relations. (English) Zbl 0809.73014

Summary: A nonlinear viscoelastic material with the heat flux obeying a generalization of Cattaneo’s law is considered. It is shown that for slow processes with small gradients of temperature the exact constitutive equations can be approximated by those of a linear viscous material with Fourier heat conduction. As a consequence of the thermodynamic restrictions on the original constitutive equations, the approximate constitutive equations are shown to satisfy the principle of local equilibrium for energy and entropy, and the kinetic coefficients giving the viscous stress and heat flux vector satisfy Onsager’s relations.


74A15 Thermodynamics in solid mechanics
74A20 Theory of constitutive functions in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
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