有限元程序网格沙漏变形的分析与控制

计算物理 ›› 2007, Vol. 24 ›› Issue (4): 402-406.

有限元程序网格沙漏变形的分析与控制

程俊霞

北京应用物理与计算数学研究所, 北京 100088

收稿日期:2006-03-31 修回日期:2006-08-08 出版日期:2007-07-25 发布日期:2007-07-25
作者简介:程俊霞(1977-),女,河南,助研,博士生,从事计算流体力学工作,北京8009信箱16分箱100088.
基金资助:
中物院院基金(20050107);国家重大基础研究基金(2005CB32170)资助项目

Hourglass Control in Finite Element Code

CHENG Junxia

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2006-03-31 Revised:2006-08-08 Online:2007-07-25 Published:2007-07-25

摘要/Abstract

摘要： 分析二维拉氏四边形四节点等参有限元程序存在的网格沙漏变形问题,认为单元刚度矩阵的秩缺陷是沙漏变形的原因,给出一种消除单元刚度矩阵秩缺陷且正交于线性位移场的沙漏控制方法,不仅有效地控制了沙漏变形,而且通过了分片检验.把此种沙漏粘性加入程序后计算多种算例,证明了此控制方法的有效性.

关键词: 等参有限元, 沙漏粘性, 分片检验

Abstract: We analyze unphysical grid distortion caused by one-point quadrature in 4-node isoparametric finite element computer program.It is concluded that the rank deficiency of stiffness matrix results in hourglass distortion.A method that controlls hourglass distortion by eliminating rank deficiency is developed and validated by patch tests.

Key words: isoparametric finite element, hourglass viscosity, patch test

中图分类号:

O241.82

程俊霞. 有限元程序网格沙漏变形的分析与控制[J]. 计算物理, 2007, 24(4): 402-406.

CHENG Junxia. Hourglass Control in Finite Element Code[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 24(4): 402-406.