东南大学学报（自然科学版）2013，Vol.43Issue(4)：849-855,7.DOI:10.3969/j.issn.1001-0505.2013.04.033
孔口应力集中问题的Cosserat连续体有限元分析
Finite element analysis of Cosserat continuum for stress concentration of holes
摘要
Abstract
The stress concentration phenomena of circular hole,elliptic hole and rhombic hole under ordinary plane strain condition are numerically simulated by two types of Cosserat continuum finite elements,four nodded displacement-based quadrilateral isoparametric element and eight nodded displacement-based quadrilateral isoparametric element.The numerical results indicate that the stress concentration factor and the strain gradient increase significantly when the comer is sharp.The classical continuum finite element may overestimate the stress concentration factor,while these two Cosserat continuum finite elements can reflect the effects of large strain gradient and micro-structure of the holes and thus weaken the stress concentration factor.To simulate the stress concentration phenomena of incompressible and nearly incompressible materials,an independent pressure variable is introduced and a four nodded quadrilateral element (u4ω4p)based on the Hu-Washizu mixed variational principle is developed.The results show that u4ω4p and the eight nodded quadrilateral element can well simulate the stress concentration phenomena in incompressible materials.Besides,u4ω4p may have more application owing to its less cost and less distortion in computation.关键词
Cosserat连续体/应力集中/圆孔/椭圆孔/菱形孔/Hu-Washizu混合交分原理/不可压缩材料Key words
Cosserat continuum/stress concentration/circular hole/elliptic hole/rhombic hole/Hu-Washizu mixed variational principle/incompressible mateial分类
建筑与水利引用本文复制引用
唐洪祥,管毓辉..孔口应力集中问题的Cosserat连续体有限元分析[J].东南大学学报（自然科学版）,2013,43(4):849-855,7.基金项目
国家自然科学基金资助项目(50808033)、国家重点基础研究发展计划(973计划)资助项目(2010CB731502)、中国科学院岩土力学国家重点实验室开放基金资助项目(Z110701). （50808033）
