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An Explicit Model for the Thermal-Mechanical Analysis of Hot Metal Forming Processes

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Abstract In the paper the authors propose a new finite element code for the coupled thermal-mechanical analysis of hot metal forming processes. As regards the mechanical problem, an explicit algorithm based on the solution of the dynamic equilibrium equation and an explicit time integration scheme is used, while the heat transfer analysis is based on the solution of the thermal equilibrium equations; in order to put the thermal problem in an explicit linear form a three level scheme has been employed for the discretization of the time variable. The model is based on a staggered procedure, in which the mechanical and the thermal analysis are carried out with respect to different time horizons: in fact while the analysis of the mechanical problem is performed increasing the velocity of the process, as it is usual when an explicit formulation is used, such an artifice cannot be accepted for the thermal problem which is strongly time dependent.