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.

中文翻译：

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准静态和动态弹塑性变分离散元方法

我们提出了一种支持一般多面体网格的新离散元方法。该方法可以理解为一种以连续力学参数（杨氏模量和泊松比）为参数的最低阶不连续伽辽金方法。我们考虑准静态和动态弹塑性，在后一种情况下，采用伪能量守恒时间积分方法。时间步长方法的计算成本适中，因为它是明确的，并与自然对角质量矩阵一起使用。给出了数值例子来说明准静态和动态弹塑性演化方法的鲁棒性和多功能性。