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Pré-Publication, Document De Travail Année : 2020

A consistent discrete element method for quasi-static and dynamic elasto-plasticity

Résumé

We propose a new discrete element method supporting general polyhedral meshes. The method can be understood as a lowest-order discontinuous Galerkin method parametrized by the continuous mechanical parameters (Young's modulus and Poisson's ratio). We consider quasi-static and dynamic elasto-plasticity, and in the latter situation, a pseudo-energy conserving time-integration method is employed. The computational cost of the time-stepping method is moderate since it is explicit and used with a naturally diagonal mass matrix. Numerical examples are presented to illustrate the robustness and versatility of the method for quasi-static and dynamic elasto-plastic evolutions.
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Dates et versions

hal-02343280 , version 1 (02-11-2019)
hal-02343280 , version 2 (04-11-2019)
hal-02343280 , version 3 (12-11-2019)
hal-02343280 , version 4 (13-04-2020)
hal-02343280 , version 5 (01-06-2020)

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Frédéric Marazzato, Alexandre Ern, Laurent Monasse. A consistent discrete element method for quasi-static and dynamic elasto-plasticity. 2020. ⟨hal-02343280v4⟩
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