• Media type: Text; Report; E-Book
  • Title: Global existence result for phase transformations with heat transfer in shape memory alloys : dedicated to 75th birthday of K. Gröger
  • Contributor: Paoli, Laetitia [Author]; Petrov, Adrien [Author]; Gröger, K. [Author]
  • Published: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2011
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.34657/2449
  • ISSN: 0946-8633; 0946-8633
  • Keywords: generalized standard materials ; enthalpy transformation ; Existence result ; shape-memory alloys ; heat equation ; maximal monotone operators ; doubly nonlinear equations
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  • Description: 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.
  • Access State: Open Access