Multi-periodic boundary conditions and the Contact Dynamics method

Farhang Radjai

doi:10.1016/j.crme.2017.12.007

The legacy of Jean-Jacques Moreau in mechanics

Multi-periodic boundary conditions and the Contact Dynamics method

Farhang Radjai ^1,²

¹ LMGC, CNRS–University of Montpellier, 163, rue Auguste-Broussonnet, 34090 Montpellier, France
² MultiScale Material Science for Energy and Environment, UMI 3466 CNRS–MIT, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge 02139, USA

Comptes Rendus. Mécanique, Volume 346 (2018) no. 3, pp. 263-277.

Abstract

For investigating the mechanical behavior of granular materials by means of the discrete element approach, it is desirable to be able to simulate representative volume elements with macroscopically homogeneous deformations. This can be achieved by means of fully periodic boundary conditions such that stresses or displacements can be applied in all space directions. We present a general framework for periodic boundary conditions in granular materials and its implementation more specifically in the Contact Dynamics method.

Received: 2017-05-20
Accepted: 2017-10-11
Published online: 2017-12-27

DOI: 10.1016/j.crme.2017.12.007

Mots clés : Granular materials, Contact Dynamics method, Periodic boundary conditions

Author's affiliations:

Farhang Radjai ^{1, 2}

¹ LMGC, CNRS–University of Montpellier, 163, rue Auguste-Broussonnet, 34090 Montpellier, France
² MultiScale Material Science for Energy and Environment, UMI 3466 CNRS–MIT, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge 02139, USA

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Farhang Radjai. Multi-periodic boundary conditions and the Contact Dynamics method. Comptes Rendus. Mécanique, Volume 346 (2018) no. 3, pp. 263-277. doi : 10.1016/j.crme.2017.12.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.12.007/

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