二维正交各向异性结构弹塑性问题的边界元分析

孙秀山; 黄立新; 刘应华; 岑章志; 方东平

二维正交各向异性结构弹塑性问题的边界元分析

1.
清华大学土木工程系, 北京 100084;
2.
广西大学土木建筑工程学院, 南宁 530004;
3.
清华大学工程力学系, 北京 100084

基金项目: 国家自然科学基金(19902007); 全国优秀博士论文基金(200025)

详细信息

通讯作者:
岑章志,教授,主要从事计算固体力学研究 E-mail:demczz@tsinghua.edu.cn

中图分类号: TB330.1;O302
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出版历程
- 收稿日期: 2004-07-04
- 修回日期: 2004-10-17
- 刊出日期: 2005-06-14

BOUNDARY ELEMENT ANALYSIS FOR ELASTO-PLASTICPROBLEM OF 2-D ORTHOTROPIC STRUCTURES

1.
Department of Civil Engineering, Tsinghua University, Beijing 100084, China;
2.
College of Civil Engineering and Architecture, Guangxi University, Nanning 530004, China;
3.
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

摘要

摘要: 给出了二维正交各向异性结构弹塑性问题的边界元分析方法, 包括相应边界积分方程、内点应力公式、边界元求解格式以及弹塑性应力计算方法。在弹塑性分析中, 引入了Hill-Tsai 屈服准则, 采用初应力法和切向预测径向返回法确定实际应力状态。通过具体算例分析了二维正交各向异性结构的弹塑性应力和塑性区分布情况, 部分数值结果与已有结果进行了比较, 两者基本吻合。结果表明, 本文中给出的边界元法可以有效地用于求解二维正交各向异性结构的弹塑性问题。
- 二维正交各向异性结构 /
- 弹塑性问题 /
- 边界元法
Abstract: The boundary element method (BEM) is proposed to analyze the elasto-plastic problems of 2-D orthot ropic st ructures. The boundary integral equation, internal st ress expression, BEM analysis formulae and elastoplastic st ress computation were established, respectively. In the elasto-plastic analysis, Hill-Tsai yielding criterionwas adopted, and the initial st ress method and tangent predictor-radial return algorithm were used to determine thereal st ress state. The elasto-plastic st resses and plastic zones of 2-D orthot ropic st ructures were analyzed with theproposed method, and some numerical result s were compared with the existing ones. Good agreement was observed,which demonst rates the validity of the present BEM in elaso-plastic problems of 2-D orthot ropic st ructures.
- 2-D orthot ropic st ructure /
- elasto-plastic problem /
- boundary element method (BEM)