Abstract
This paper discusses a rate-type thermo-viscoelastic model with a piecewise linear van der Waals type equilibriuni surface. The thermodynamic restrictions on the constitutive equations are obtained in the regions where they are smooth as well as the jump conditions they must satisfy across the curves of discontinuities. An energy identity/inequality is derived which allows us to obtain energy estimates of the solutions when phase transitions take place or defects may generate and propagate. A numerical scheme and its stability in energy is briefly discussed.
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Mihăilescu-Suliciu, M., Suliciu, I. (1999). Energy Estimates for Piecewise Smooth Rate Type Thermo-viscoelastic Models with Van Der Waals Type Equilibrium Surface. In: Wang, R. (eds) IUTAM Symposium on Rheology of Bodies with Defects. Solid Mechanics and its Applications, vol 64. Springer, Dordrecht. https://doi.org/10.1007/0-306-46937-5_6
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DOI: https://doi.org/10.1007/0-306-46937-5_6
Publisher Name: Springer, Dordrecht
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