The method of a floating frame of reference for non-smooth contact dynamics

A method of a floating frame of reference that performs splitting of a deformable solid into rigid and deforming parts is presented within the context of discrete element method. The decomposition is made in such a way that the deforming part of the velocity field does not contribute to the motion of the center of mass and to the rotational motion. The corresponding numerical method that computes both rigid and deforming motions is presented and extended to simulation of multi-body dynamics allowing non-smooth contact interactions, such as impacts and friction. Numerical experiments, where the method is compared with a more traditionally used Total Lagrangian method, justify its preference as a more efficient tool for the simulation of assemblies of stiff and massive objects.

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Source https://hal.science/hal-00782620
Author Lozovskiy, Alexander, Daridon, Loïc, Dubois, Frédéric, Pagano, Stéphane
Maintainer CCSD
Last Updated May 14, 2026, 17:50 (UTC)
Created May 14, 2026, 17:50 (UTC)
Identifier hal-00782620
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Modélisation Mathématique en Mécanique (M3) ; Laboratoire de Mécanique et Génie Civil (LMGC) ; Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)
creator Lozovskiy, Alexander
date 2013-05-14T00:00:00
harvest_object_id b58efa2a-8060-40e3-9715-79caf01a7d6d
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-11-24T00:00:00
set_spec type:REPORT