平面弹性力学问题的离散元网格自适应方法

Mesh adaptive discrete element method for plane elasticity problem

根据连续介质平面弹性力学离散及元法的基本原理,分析了解决平面弹性力学问题的离散元网格自适应方法.基于界面位移提出了离散元相对误差评价指标及相应的后验误差分析方法.在此基础上给出了连续介质离散元法网格自适应策略.与有限元法相比,离散元法的网格自适应策略具有原理简单、无奇点和单元畸形、实施方便的优点.2个典型的数值算例表明,提出的离散元相对误差评价指标以及相应的网格自适应策略能够很好地模拟平面弹性力学应力集中现象和边界效应,自适应网格与相应的有限元分析结果一致.

Based on the principle of discrete element method for plane elasticity problem, a posteriori error estimator which depending on the displacement of seam and a mesh adaptive strategy for discrete element method were presented. Compared with finite element method, the mesh adaptation for discrete element method has some advantages, such as the principle is simple, the adaptive mesh has no irregular node or distorted element. The numerical results of two examples showed that the proposed mesh adaptive strategy can give proper adaptive meshes to describe the characters of stress centralization and boundary condition. The results agreed well with that obtained by adaptive finite element method.