We describe a new approach for the resolution of viscoplastic non-isothermal problems. The computational method is well suited for non linear mechanical behaviours, described by internal variables. This approach contrasts with the classical step-by-step method since it is an iterative procedure that takes into account the whole loading process in a single time interval. We introduce a formulation of the thermo-mechanical problem adapted to the strategy that we use: using a change of variables, we gather all the non linearities in the evolution laws in order to obtain linear state laws; and we extend this change of variables so that the temperature no longer appears in the state laws, except in the Hooke's elasticity law (in which the effects of temperature are smooth). Several examples illustrate the possibilities and efficiency of this strategy. A good accuracy is obtained in a few iterations, even in the case of realistic loading histories, and only a few linear elastic-type global problems have to be solved.

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