Comparison of some finite element methods for solving 3D heat transfer problems. Application to hot forming process simulation

International audienceThe thermal analysisusing standardlinear tetrahedral finite elements may be severely affected by spurious local extrema in the regions affected by thermal shocks; conceivably discouraging the use of such elements as a result. The present work proposes three numerical models based on the mixed temperature/heat flux formulation to solve the unsteady thermal problem. Our new model, called the Mixed continuous formulation, should allow to improve the thermomechanical coupling effects during the simulation of D forming processes: the spatial model is based on the Galerkin approach with the linear tetrahedral ¡£¢¥??¡§¢ mixed finite elements; time integration is based on an implicit scheme allowing better flexibility in the choice of time steps. For this study, the D finite element FORGE ©?R software, able to simulate strongly coupled thermomechanical problems and steel quenching, is required