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偶应力问题的非协调元分析
Alternative TitleIncompatible Finite Element Analysis of Couple-Stress Problems
肖其林; 凌中; 吴永礼; 姚文慧
Source Publication中国科学院研究生院学报
2003
Volume20Issue:2Pages:223-231
ISSN1002-1175
Abstract从偶应力弹性体势能泛函的驻值条件出发,得到了偶应力理论中非协调元体系的能量相容原理.基于其常应力(常偶应力)分片检验条件的强形式,对平面四结点单元的非协调试探内函数进行了优化,提出了一种稳定有效的非协调元方法.有限元列式中,微转动和宏观转动相等的约束条件通过罚因子的形式引入.分析了含中心圆孔的无限平板,在单轴拉伸以及纯剪状态时,偶应力的存在对孔周应力集中的影响.算例表明,该单元计算效率高,精度好,即使在材料本征长度很小时,仍然能够得到相当理想的结果.
Keyword偶应力理论 非协调元 能量相容条件 罚函数
Subject Area力学
Indexed ByCSCD
Language中文
CSCD IDCSCD:1578336
Citation statistics
Cited Times:4[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/16496
Collection力学所知识产出(1956-2008)
Recommended Citation
GB/T 7714
肖其林,凌中,吴永礼,等. 偶应力问题的非协调元分析[J]. 中国科学院研究生院学报,2003,20,2,:223-231.
APA 肖其林,凌中,吴永礼,&姚文慧.(2003).偶应力问题的非协调元分析.中国科学院研究生院学报,20(2),223-231.
MLA 肖其林,et al."偶应力问题的非协调元分析".中国科学院研究生院学报 20.2(2003):223-231.
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