Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models

@article{Melnik2002PhaseTI,
  title={Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models},
  author={Roderick Melnik and Anthony J. Roberts and Kimberly A Thomas},
  journal={Computational Mechanics},
  year={2002},
  volume={29},
  pages={16-26}
}
  • Roderick Melnik, Anthony J. Roberts, Kimberly A Thomas
  • Published 2002
  • Mathematics
  • Computational Mechanics
  • Abstract The dynamics of phase transitions and hysteresis phenomena in materials with memory are described by a strongly nonlinear coupled system of partial differential equations which, in its generality, can be solved only numerically. Following principles of extended thermodynamics, in this paper we construct a new model for the description of this dynamics based on the Cattaneo–Vernotte law for heat conduction. Models based on the Fourier law follow from this general consideration as… CONTINUE READING

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