中南大学学报（自然科学版）2012，Vol.43Issue(8)：3237-3243,7.
Ⅲ型应力强度因子分析的Williams单元
Williams element for mode-Ⅲ stress intensity factor
摘要
Abstract
Based on the fact that the anti-plane crack is one of the basic and crucial fracture type for engineering structures, and there are some limitations for traditional finite element in determination of mode-Ill stress intensity factor (SIF). Williams series for global displacement fields in singular region near the tip of mode-III crack were presented. The local displacement field of subelement were approximated by means of the shaped function of conventional finite element methodAccording to the principle that the global field determines the local one, the Williams element was presented for singular region near the crack tip, so that the mode-Ill SIF could be directly determined by the coefficients of the Williams element. Three important parameters, i.e the radial scale factor, the number of subelement and the series term, were discussed for Williams element. The influence of the relative length of crack on the SIF was investigated- The results show that the Williams element can achieve high accuracy and efficiency in evaluation of SIF.关键词
Ⅲ型裂纹/应力强度因子/Williams单元/广义参数有限元法Key words
mode-III crack/stress intensity factor/Williams element/method of finite element with generalized degrees of freedom分类
建筑与水利引用本文复制引用
徐华,杨绿峰,佘振平..Ⅲ型应力强度因子分析的Williams单元[J].中南大学学报（自然科学版）,2012,43(8):3237-3243,7.基金项目
国家自然科学基金资助项目(51168003) （51168003）
广西壮族自治区主席基金资助项目(2010GXNSFD169008) （2010GXNSFD169008）
工程防灾与结构安全教育部重点实验室主任基金资助项目(2009TMZR004) （2009TMZR004）
广西大学科研基金资助项目(XGL090004) （XGL090004）
