The principle of the minimum of the dissipation potential for non-isothermal processes. (English) Zbl 1341.80008
Summary: In this paper, we contribute to the methodology of material modeling by presenting a potentialbased approach for non-isothermal inelastic processes. It is based on the principle of the minimum of the dissipation potential which was used previously only in the isothermal context. In contrast to the principle of maximum dissipation, the presented procedure results in mathematically simplified equations. Due to its variational character, the inclusion of constraints is very simple. After derivation of our method, we use the examples of non-isothermal perfect plasticity and shape memory alloys for demonstration of the validity and performance of the concept.
Keywords:
principle of the minimum of the dissipation potential; non-isothermal process thermal; coupling; variational modeling methodReferences:
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