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An energy-preserving Discrete Element Method for elastodynamics by Monasse, Laurent; Mariotti, Christian is a scholarly article available to read on EtoBox.

What is An energy-preserving Discrete Element Method for elastodynamics about?

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.

Author

Monasse, Laurent; Mariotti, Christian

Published

2009

Language

EN