标题： 一种用于准静态和动态弹塑性的变分离散元方法 显示英文标题

标题： A variational discrete element method for quasi-static and dynamic elasto-plasticity

摘要： 我们提出一种支持通用多面体网格的新离散元方法。 该方法可以理解为由连续机械参数（杨氏模量和泊松比）参数化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，并在后一种情况下，采用一种伪能量守恒的时间积分方法。 由于该时间步进方法是显式的，并且使用自然对角质量矩阵，因此计算成本适中。 数值例子用于说明该方法在准静态和动态弹塑性演化中的鲁棒性和通用性。 显示英文摘要

摘要： 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.