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Mathematical analysis of thermoplasticity with linear kinematic hardening

Chełmiński K., Racke R.

Journal of Applied Analysis

2006

Vol. 12, nr 1

37-57

We study thermoplasticity with the Prandtl-Reuss flow rule and with a linear evolution equation for the kinematic hardening. The yield function associated with the system under consideration depends explicitly on the temperature. To have a control on the temperature, we slightly modify the heat equation and prove that an approximation process, based on the Yosida approximation, converges to a global in time solution of the (modified) system of thermoplasticity.