On the smoothed finite element method

被引：12
|
作者：
Zhang, H. -H. [1 ]
Liu, S. -J. [1 ]
Li, L. -X. [1 ]
机构：
[1] Xi An Jiao Tong Univ, Dept Mech Engn, MOE Key Lab Strength & Vibrat, Xian 710049, Shaanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2008年 / 76卷 / 08期
基金：
中国国家自然科学基金;
关键词：
finite element method (FEM); smoothed finite element method (SFEM); shape function;
D O I：
10.1002/nme.2460
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Recently. Liu et al. proposed the smoothed finite element method by using the non-mapped shape functions and then introducing the strain smoothing operator when evaluating the element stiffness in the framework of the finite element method. However, the theories and examples by Liu et al. are not sufficient for general quadrilateral elements. This paper shows that the non-mapped shape functions used in the smoothed finite element have disadvantages in existence, linearity, non-negativity and patch test. Copyright (c) 2008 John Wiley & Sons, Ltd.
引用
收藏
页码：1285 / 1295
页数：11
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