三维有限元网格加密方法及其工程应用

The mesh densification method for 3-D FEM and its application

本文利用最小势能原理将三维有限元的疏密网格通过界面单元耦合起来 ,解决了网格突变情况下的位移协调问题 ,简化了有限元网格的局部加密问题 ,从而协调了计算精度与效率之间的矛盾 .通过算例把本文推荐的方法与精确解和普通有限元解作了对比 。

On the basis of the minimum potential energy theory, the coarse mesh and fine mesh of 3 D FEM are coupled by interface elements to solve the problem of the displacement consistency between meshes with different densities. The problem of local densification in FEM is simplified and the contradiction between calculation accuracy and efficiency is also coordinated. The validity of this proposed method is verified by the comparisons of calculated results with theoretical solution and the result by means of ordinary FEM.