Nonlinear kinematic hardening in coupled thermoplasticity

This paper deals with permanent deformation of metals in nonisothermal environment. As it is generally known, metals are easier shaped if heated. Dimensions of an object also change with temperature variation. In that way, thermal effects influence mechanical behavior. Vice versa, the plastic deformation is accompanied by the heat release that influences temperature field. Therefore, the problem is of coupled nature. To define this problem, we briefly state governing equations. Constitutive equations must be able to model both isotropic hardening and kinematic hardening. Nonlinear kinematic hardening is of special interest. To gain possibility of description of cyclic processes through nonlinear kinematic hardening, one must use concepts of non-associated plasticity. In order to solve the problem at hand we propose numerical framework. The cornerstone is finite element method. Decoupling technique along with procedures that deal with nonlinearities are also presented.