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

Abstract : 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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Submitted on : Tuesday, November 12, 2019 - 9:24:16 AM
Last modification on : Wednesday, December 4, 2019 - 2:10:55 PM
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  • HAL Id : hal-02343280, version 3
  • ARXIV : 1911.00738

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Frédéric Marazzato, Alexandre Ern, Laurent Monasse. A consistent discrete element method for quasi-static and dynamic elasto-plasticity. 2019. ⟨hal-02343280v3⟩

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