A variational discrete element method for quasi-static and dynamic elasto-plasticity
| Autor: | Marazzato, Frédéric, Ern, Alexandre, Monasse, Laurent |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Int J Numer Methods Eng. 2020; 121: 5295-5319 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1002/nme.6460 |
| Popis: | 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. Comment: Published version |
| Databáze: | arXiv |
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