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Article Dans Une Revue Computational Mechanics Année : 2021

An explicit time-integrator with singular mass for non-smooth dynamics

Résumé

This article addresses the simulation of non-smooth dynamics problems with unilateral contact constraints between rigid and deformable bodies. It proposes a modified CD-Lagrange scheme with a singular mass matrix. This scheme is explicit, and based on a contact condition on velocity. The formulation is designed for a 1D impact problem between deformable and rigid body with unilateral constraint. The singular mass matrix allows to get a more accurate energy balance on the discrete system, especially during non-smooth events. An extension is presented then for the 3D cases. Its implementation is easy, and fully compatible with large deformations or non-linear materials. Indeed it consists only in adding a numerical parameter for each contact node. The energy balance for the singular 3D formulation is improved compared to the consistent one.
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Dates et versions

hal-03212569 , version 1 (03-05-2021)
hal-03212569 , version 2 (29-06-2021)

Licence

Paternité - Pas d'utilisation commerciale

Identifiants

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Jean Di Stasio, David Dureisseix, Gabriel Georges, Anthony Gravouil, Thomas Homolle. An explicit time-integrator with singular mass for non-smooth dynamics. Computational Mechanics, 2021, 68, pp.97-112. ⟨10.1007/s00466-021-02021-5⟩. ⟨hal-03212569v2⟩
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