On locking-free finite element schemes for three-dimensional elasticity

被引：3
|
作者：
Qi, H [1 ]
Wang, LH [1 ]
Zheng, WY [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2005年 / 23卷 / 01期
关键词：
three-dimensional elasticity; locking-free; nonconforming finite element;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, the authors discuss the locking phenomenon of the finite element method for three-dimensional elasticity as the Lame constant lambda -> infinity. Three kinds of finite elements are proposed and analyzed to approximate the three-dimensional elasticity with pure displacement boundary condition. Optimal order error estimates which are uniform with respect to lambda is an element of (0, +infinity) are obtained for three schemes. Furthermore, numerical results are presented to show that, our schemes are locking-free and and the trilinear conforming finite element scheme is locking.
引用
收藏
页码：101 / 112
页数：12
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