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

Abstract : The 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.
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Submitted on : Wednesday, July 16, 2014 - 11:02:10 AM
Last modification on : Thursday, September 24, 2020 - 5:22:55 PM

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Céline Pelissou, Elisabeth Massoni, Jean-Loup Chenot. Comparison of some finite element methods for solving 3D heat transfer problems. Application to hot forming process simulation. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, Hermès / Paris : Lavoisier 2004, 13 (5-6-7), pp.Pages .679-690. ⟨10.3166/reef.13.679-690⟩. ⟨hal-01024457⟩

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