A finite element method for granular flow through a frictional boundary |
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| Institution: | 1. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia;2. School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2500, Australia;3. School of Materials Science and Engineering, University of NSW, NSW 2052, Australia;1. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA;2. US Department of Energy, National Energy Technology Laboratory (NETL), P.O. Box 10940, Pittsburgh, PA 15236, USA;1. LSPM, University Paris-Nord, Sorbonne-Paris-Cité, France;2. IMAR, Romanian Academy, Bucharest, Romania;3. Institut de Physique du Globe de Paris, Equipe Sismologie, University Paris-Diderot, Sorbonne Paris Cité, Paris, France;4. ANGE Team, CEREMA, INRIA, Lab. J. Louis Lions, Paris, France;5. Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées, CNRS, UPEM, UPEC, France;6. Laboratoire Magmas et Volcans, University Blaise Pascal-CNRS-IRD, France;1. LEGI, UMR 5519, UJF, INPG, Grenoble, France;2. Aix-Marseille Université, IUSTI UMR CNRS 7343, 5 rue Enrico Fermi, 13453 Marseille, France |
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| Abstract: | A finite element method for the flow of dry granular solids through a domain involving a frictional contact boundary is formulated. The granular material is assumed as a compressible viscous-elastic–plastic continuum. Based on the principles of continuum mechanics, a complete set of equations is developed. The resulting boundary value problem is solved by the finite element method in space and by the finite difference method in time. The derivation of the finite element equations and the mathematical framework of the numerical technique are presented, together with two illustrative examples to demonstrate the validity of the technique. |
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