Calculs Éléments Finis à l’échelle des grains depuis des données EBSD

Abstract

For the sake of understanding the behaviour of a polycrystal at its grain scale, Finite Element (FE) numerical simulations can be performed, taking into account the physical properties of each grain. Those simulations must take into account the phase heterogeneities, the local anisotropies and the crystalline orientations as well. In addition, the actual grain morphologies must be well described in order to model localization phenomena. An algorithm, named MTEX2Gmsh, is proposed to automatically generate an EF mesh from EBSD data. The resulting mesh gives smooth and accurate descriptions of the grain boundaries together with reduced Degrees of Freedom (DoF), hence limited computational times. Using this algorithm, the fragile-elastic behaviour of a ceramic and micro-plasticity phenomena in a nitrided steel are studied as application cases. The latter is based on a crystal-plasticity model for the ferrite phase.