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A variational 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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Contributor : Frédéric Marazzato Connect in order to contact the contributor
Submitted on : Monday, June 1, 2020 - 2:49:50 PM
Last modification on : Wednesday, January 26, 2022 - 3:14:30 AM

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Frédéric Marazzato, Alexandre Ern, Laurent Monasse. A variational discrete element method for quasi-static and dynamic elasto-plasticity. International Journal for Numerical Methods in Engineering, Wiley, In press, ⟨10.1002/nme.6460⟩. ⟨hal-02343280v5⟩

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