Applications of Multi-Physics Modelling for Simulations of Thermo-Elastic-Plastic Materials

The intensive deformation processes of elastic-plastic material are accompanied by heating in the plastic flow domain. The aim of this study is to investigate the coupling of the plastic deformations and temperature during rapid heating. Numerical-analytical algorithm for the coupled thermoelastoplasticity problem is proposed. The boundary value problem of a continuous elastic-plastic ball heating is considered. The analytical solutions for the stress-strain state parameters were earlier obtained under the temperature stresses theory frameworks and piecewise yield criteria. The simultaneous existence of the unloading and plastic flow domains under heating process was shown and analyzed. The nonstationary heat conduction equation has the simplest form in a spherical coordinate system inside unloading domains. Otherwise, the source terms are aroused in the heat conduction equation inside the plastic flow domain.