We present herein a new computational approach for thermo-viscoplastic problems. This method is well-suited for non-linear mechanical behaviour, as described by internal variables. This approach contrasts with the classical step-by-step method since it is an iterative procedure that can take into account the whole loading process in a single time interval. A key point is to reformulate the thermo-mechanical problem: all of the nonlinearities are concentrated in the evolution laws, and the state equations are thus both linear and temperature-independent (except for the Hooke's elasticity law, according to which the effects of temperature are smooth). Several examples serve to illustrate the possibilities and efficiency of this strategy. Comparisons with classical methods show that this method seems to be of great interest in industrial simulations.
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