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Numerical simulation of granular materials by an improved discrete element method

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2005
auteur(s) Fortin Jérôme; Millet Olivier; De Saxce Géry
journal (abréviation) International Journal for Numerical Methods in Engineering (Int J Numer Meth Eng)
volume (numéro) 62 (5)
pages 639 – 663
résumé In this paper, we present an improved discrete element method based on the non-smooth contact dynamics and the bi-potential concept. The energy dissipated during the collisions is taken into account by means of restitution coefficients. The interaction between particles is modelled by Coulomb unilateral contact law with dry friction which is typically non-associated: during the contact, the sliding vector is not normal to the friction cone. The main feature of our algorithm is to overcome this difficulty by means of the bi-potential theory. It leads to an easy implement predictor-corrector scheme involving just an orthogonal projection onto the friction cone. Moreover the convergence test is based on an error estimator in constitutive law using the corner stone inequality of the bipotential. Then we present numerical simulations which show the robustness of our algorithm and the various possibilities of the software MULTICOR developed with this approach.
mots clés granular materials • contact dynamics • discrete element method • Coulomb`s dry friction
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