Strategies of transport of microstructural variables for remeshing – application to textureinduced mechanical anisotropy in metals
Marianne Beringhier1
, Roland Loge1, Laurent Delannay2, Yvan Chastel3
1Centre de Mise en Forme des Matériaux (CEMEF), UMR CNRS 7635, Ecole des Mines de Paris, B.P. 207, 06904 Sophia-Antipolis Cedex, France.
2Department of Mechanical Engineering (MEMA-Cesame), Université Catholique de Louvain (UCL), av. G. Lemaître 4, 1348 Louvain-la-Neuve, Belgium.
3Laboratoire d’Ingénierie des Matériaux (LIM), UMR CNRS 8006, Ecole Nationale Supérieure d’Arts et Métiers, 151, bd. de l’Hôpital, 75013 Paris, France.
DOI:
https://doi.org/10.7494/cmms.2006.3.0165
Abstract:
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
Cite as:
Beringhier, M., Loge, R., Delannay, L., Chastel, Y. (2006). Strategies of transport of microstructural variables for remeshing – application to textureinduced mechanical anisotropy in metals. Computer Methods in Materials Science, 6(3-4), 133 – 139. https://doi.org/10.7494/cmms.2006.3.0165
Article (PDF):
Keywords:
Finite element, Remeshing, Microstructure, Crystallographic texture, Anisotropy
References: