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Chapitre d'ouvrage

A Semi-Explicit Modified Mass Method for Dynamic Frictionless Contact Problems

Abstract : We propose a semi-explicit numerical method for solving dynamic frictionless contact problems. This method combines a modified mass matrix, a central difference time-integration scheme, and an exact enforcement of the contact condition. At each time step, the displacements of the nodes in the interior of the domain are computed in an explicit way, while the displacements of the nodes at the contact boundary are computed by solving a nonlinear problem. Such a method presents the same stability condition as the central difference scheme without contact and achieves a tight energy behavior.We perform numerical simulations, in 1D and 2D, to illustrate the behavior of the proposed method. In particular, we compare our method to a method combining a central difference scheme and an implicit contact condition.
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Chapitre d'ouvrage
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https://hal-enpc.archives-ouvertes.fr/hal-00676442
Contributeur : Cermics Hal <>
Soumis le : lundi 5 mars 2012 - 13:31:35
Dernière modification le : mardi 6 mars 2018 - 15:55:51

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David Doyen, Alexandre Ern, Serge Piperno. A Semi-Explicit Modified Mass Method for Dynamic Frictionless Contact Problems. Trends in Computational Contact Mechanics, Springer-Verlag, pp.157-168, 2011, Lecture Notes in Applied and Computational Mechanics (LNACM 58), 978-3-642-22166-8. ⟨10.1007/978-3-642-22167-5_9⟩. ⟨hal-00676442⟩

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