Consistent incremental approximation of dissipation pseudo-potentials in the variational formulation of thermo-mechanical constitutive updates |
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Authors: | L Stainier |
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Institution: | Institut de recherche en Génie Civil et Mécanique (GeM - UMR 6183 CNRS) Ecole Centrale de Nantes, 1 rue de la Noë, BP 92101, F-44321 Nantes, France |
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Abstract: | In this paper, we detail a consistent approximate expression for incremental dissipation pseudo-potentials which appear in the variational formulation of coupled thermo-mechanical boundary-value problems. We explain why the most intuitive expression does not work in the case of an explicit temperature dependence in the dissipation, and propose an alternative expression ensuring consistent results when reducing the time increment towards zero. |
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Keywords: | Variational constitutive updates Finite thermo-visco-plasticity Thermomechanics |
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