Istituto di Matematica Applicata e Tecnologie Informatiche     
Krejci P., Sprekels J., Stefanelli U. One-dimensional thermo-visco-plastic processes with hysteresis and phase transitions. Preprint ercim.cnr.ian//2001-1247, 2001.
We consider a strongly coupled system of partial differential equations as a model for the dynamics of a thermo-visco-elasto-plastic solid under phase transitions. It consists of the momentum balance equation for the displacement, the energy balance equation for the absolute temperature, and an order parameter equation describing the dynamics of the phase transition. Both the phase transition and the strain-stress law involve hysteresis dependence represented by hysteresis operators. We show the thermodynamic consistency of the model, and prove its well-posedness.
Subject Phase transitions, hysteresis
74N30, 47J40, 34C55, 35K60

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