Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains

@article{Roubek2010ThermodynamicsOR,
  title={Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains},
  author={Tom{\'a}{\vs} Roub{\'i}{\vc}ek},
  journal={SIAM J. Math. Anal.},
  year={2010},
  volume={42},
  pages={256-297}
}
  • T. Roubíček
  • Published 5 March 2010
  • Engineering
  • SIAM J. Math. Anal.
So-called generalized standard solids (of the Halphen–Nguyen type) involving also activated rate-independent processes such as plasticity, damage, or phase transformations are described as a system of a momentum equilibrium equation and a variational inequality for inelastic evolution of internal-parameter variables. The stored energy is considered as temperature dependent and then the thermodynamically consistent system is completed with the heat-transfer equation. Existence of a suitably… 
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