平面弹性力学问题的离散元法

根据离散元的基本原理,基于变形体的理论提出了适用于平面弹性力学问题的界面位移、应变和应力模式,建立了求解平面弹性力学问题的离散元方程和相应的迭代求解方法.通过界面位移可以简洁地将位移和力的边界条件引入离散系统的控制方程,也可以方便地求解节点位移.数值算例表明,与具有相同网格的有限元结果相比,离散元能同时给出精度相对较高的应力解和精度相当的位移解.

DISCRETE ELEMENT METHOD FOR PLANE ELASTIC PROBLEM

Based on the fundamental principle of discrete element method and the theory of deformable bodies,the displacement,strain and stress model of seam were proposed,and the control equations of discrete system for plane elastic problem and its iteration solve program are then established.According to the seam displacement,all kinds of boundary condition can be introduced and the nodal displacement can also be calculated easily.Comparing with the results of finite element method with the same mesh,the accuracy of displacement and stress given by the discrete element method of the paper is higher.