Abstract

The model of generalized thermoviscoelasticity with one relaxation time for material having temperature-dependent properties is established taking into consideration rheological properties of the volume and density. Numerous special cases can be obtained from the given model. The normal mode analysis is used to obtain the exact expressions of the temperature distribution, thermal stresses, and the displacement components. The resulting formulation is applied to two different concrete problems. The first deals with a thick plate subjected to a time-dependent heat source on each face; the second concerns the case of a heated punch moving across the surface of an infinite thermoviscoelastic space subject to appropriate boundary conditions. Numerical results are given and illustrated for each problem. Comparisons are made with the results predicted ignoring rheological properties of the volume, or the temperature dependence of the mechanical properties, or by the coupled theory.

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