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SIMULATION NUMERIQUE DE LA DYNAMIQUE DES SYSTEMES
MULTICORPS APPLIQUEE AUX MILIEUX GRANULAIRES

Abstract : The general topic of this work is the study of granular media
behaviour. In the first time, a Discret Element Method, inspired
from the Contact Dynamics approach is proposed. This method
enables us to modelise in 2D the moving rigid bodies running into
themselves or into walls and subjected to friction forces during
these collisions. The use of the contact bipotential leads to an
algorithm of resolution based on the projection on the friction
cone and to a convergence criterion based on the estimator of
relative error in constitutive law. The Signorini's and Coulomb's
conditions constraint us to take into account the phenomenon of
multiple collisions. In this frame, we use the formalism of the
nonsmooth mechanics. The issues is an algorithm involving, at each
iteration, a global step producting a new value of the impulse.
Numerical simulations in quasi static or dynamic cases show the
convergence and the robustess of the algorithm.
Within the framework of an homogeneization procedure, we establish
an expression of the mean stress tensor, taking into account the
body forces. We show, on a simple analytical example of a
cylindrical rigid bead rolling on an inclined plane, that the
inertia forces are essential to insure the symmetry of the bead
mean stress tensor.
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https://tel.archives-ouvertes.fr/tel-00011222
Contributor : Jerome Fortin <>
Submitted on : Friday, December 16, 2005 - 4:28:09 PM
Last modification on : Monday, April 19, 2021 - 8:55:15 AM
Long-term archiving on: : Saturday, April 3, 2010 - 6:51:05 PM

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  • HAL Id : tel-00011222, version 1

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Jerome Fortin. SIMULATION NUMERIQUE DE LA DYNAMIQUE DES SYSTEMES
MULTICORPS APPLIQUEE AUX MILIEUX GRANULAIRES. Modélisation et simulation. Université des Sciences et Technologie de Lille - Lille I, 2000. Français. ⟨tel-00011222⟩

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