Global existence result for phase transformations with heat transfer in shape memory alloys

Details Global existence result for phase transformations with heat transfer in shape memory alloys Global existence result for phase transformations with heat transfer in shape memory alloys

2011-04-28

arxiv.org/abs/1104.5408v1

Mathematics

Analysis of PDEs

Scientific paper

We consider three-dimensional models for rate-independent processes describing materials undergoing phase transformations with heat transfer. The problem is formulated within the framework of generalized standard solids by the coupling of the momentum equilibrium equation and the flow rule with the heat transfer equation. Under appropriate regularity assumptions on the initial data, we prove the existence a global solution for this thermodynamically consistent system, by using a fixed-point argument combined with global energy estimates.

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