光滑有限单元法及其应用

对光滑有限单元法进行综述,介绍光滑有限单元法、边界光滑有限单元法、节点光滑有限单元法的基本思想、基本算法、方法特点以及在一些领域的应用.归纳得出:光滑有限单元法将应变光滑化措施引入有限单元法,可以降低网格划分要求,适应不规则网格;光滑有限单元法的算法与有限单元法基本相同,在有限单元法程序基础上进行少量修改即可实现;光滑有限单元法计算结果比有限单元法更精确.

Smoothed finite element method and its application

This paper presents a review of the smoothed finite element method.The basic concepts,calculation processes,characteristics,and applications of the smoothed finite element method(SFEM),the edge-based smoothed finite element method(ES-FEM),and the node-based smoothed finite element method(NS-FEM) are introduced.The SFEM is formulated by incorporating a cell-wise strain smoothing operation into the conventional finite element method(FEM),in which the elements are allowed to be of arbitrary shapes.Compared with the FEM,the SFEM achieves more accurate results without increasing computational cost.The implementation of the SFEM is straightforward without much change to the standard FEM settings.