An energy-preserving Discrete Element Method for elastodynamicsReport as inadecuate

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1 DAM-DIF - DAM Île-de-France 2 CERMICS - Centre d-Enseignement et de Recherche en Mathématiques et Calcul Scientifique

Abstract : We develop a Discrete Element Method DEM for elastodynamics using polyhedral elements. We show that for a given choice of forces and torques, we recover the equations of linear elastodynamics in small deformations. Furthermore, the torques and forces derive from a potential energy, and thus the global equation is an Hamiltonian dynamics. The use of an explicit symplectic time integration scheme allows us to recover conservation of energy, and thus stability over long time simulations. These theoretical results are illustrated by numerical simulations of test cases involving large displacements.

Keywords : Discrete Element Method Energy conservation

Author: Laurent Monasse - Christian Mariotti -



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