Large-scale 3D random polycrystals for the finite element method: Generation,meshing and remeshing |
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Authors: | R. Quey P.R. Dawson F. Barbe |
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Affiliation: | 1. Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA;2. École des Mines de Saint-Étienne, Centre SMS, CNRS UMR 5146, 158 Cours Fauriel, 42023 Saint-Étienne, Cedex 2, France;3. INSA Rouen, Groupe de Physique des Matériaux, CNRS UMR 6634, 76801 Saint Étienne du Rouvray, France;1. Key Laboratory of Disaster Prevention and Structural Safety, Guangxi University, Nanning 530004, China;2. School of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou 450011, China;3. Department of Civil and Environmental Engineering, University of California, Los Angeles, CA 90095-1593, USA;1. Max-Planck-Institut für Eisenforschung, Max-Planck-Straße 1, 40237 Düsseldorf, Germany;2. Materials Science and Technology Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;1. DEN-Service d’Études des Matériaux Irradiés, CEA, Université Paris-Saclay, F-91191, Gif-sur-Yvette, France;2. MINES ParisTech, PSL Research University, MAT – Centre des matériaux, CNRS UMR 7633, BP 87 91003 Evry, France;1. Jo?ef Stefan Institute, Jamova cesta 39, SI-1000 Ljubljana, Slovenia;2. European Commission, DG-JRC, Institute for Energy and Transport, P.O. Box 2, NL-1755 ZG Petten, The Netherlands;1. GeoEngineering Centre, Queen''s University, Kingston, ON, Canada;2. Ecole Nationale Supérieure des Mines de Saint-Etienne, CNRS UMR 5307, France |
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Abstract: | ![]() A methodology is presented for the generation and meshing of large-scale three-dimensional random polycrystals. Voronoi tessellations are used and are shown to include morphological properties that make them particularly challenging to mesh with high element quality. Original approaches are presented to solve these problems: (i) “geometry regularization”, which consists in removing the geometrical details of the polycrystal morphology, (ii) “multimeshing” which consists in using simultaneously several meshing algorithms to optimize mesh quality, and (iii) remeshing, by which a new mesh is constructed over a deformed mesh and the state variables are transported, for large strain applications. Detailed statistical analyses are conducted on the polycrystal morphology and mesh quality. The results are mainly illustrated by the high-quality meshing of polycrystals with large number of grains (up to 105), and the finite element method simulation of a plane strain compression of ε = 1.4 of a 3000-grain polycrystal. The presented algorithms are implemented and distributed in a free (open-source) software package: Neper. |
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