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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2012

An energy-preserving Discrete Element Method for elastodynamics

Résumé

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.
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Dates et versions

hal-00403919 , version 1 (30-11-2016)

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Laurent Monasse, Christian Mariotti. An energy-preserving Discrete Element Method for elastodynamics. ESAIM: Mathematical Modelling and Numerical Analysis, 2012, 46 (6), pp.1527 - 1553. ⟨10.1051/m2an/2012015⟩. ⟨hal-00403919⟩
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