Analyticity of solutions to thermo?elastic?plastic flow problem with microtemperatures

In this paper, we study some qualitative and numerical properties of new equations including the coupled effects thermal elastic-plastic theory with microtemperatures. We establish necessary sufficient conditions to guarantee that model dissipates energy. The one-dimensional case, which corresponds isotropic hardening problem, is chosen in order present properties. With help semigroup linear operators, prove well-posedness problem corresponding plastic flow. Then, show associated C 0 ? not analytical general, except for a special case. exponential stability solutions kept all cases. Finally, tool, based on finite element method, developed validate proposed its capability. Particular attention paid consideration elastoplastic behavior development tool.