Strategies of transport of microstructural variables for remeshing - application to texture induced mechanical anisotropy in metals
Résumé
Finite element computations of metal forming often involve large deformations so that the mesh degenerates and a remeshing procedure is required. When microstructural variables are attached to the nodes or integration points of the mesh, they have to be transported from the old mesh to the new one by using an interpolation technique. Such interpolation of microstructure variables automatically induce numerical errors, and in many cases, may even have no physical meaning. In this paper two strategies of transport based on the Lagrangian particles concept are presented. They can be applied to a wide range of discretized microstructures. As an example, the transport of the variables of a polycrystalline plasticity model is used for simulations of uniaxial compression of a reference aluminium sample. Various numerical strategies are compared in terms of the accuracy of the description of the evolving mechanical anisotropy.