%0 Journal Article %T SINGULAR INTEGRAL EQUATION APPROACH FOR HALF-PLANE ANTIPLANE MULTIPLE-EDGE CRACK PROBLEMS
半平面多边缘裂纹反平面问题的奇异积分方程 %A WANG Zhongxian %A CHEN Yizhou %A LI Fulin %A
王钟羡 %A 陈宜周 %A 李福林 %J 力学与实践 %D 2006 %I %X The half-plane antiplane multiple-edge crack problems are solved by using complex variable function and singular integral equation approach. The fundamental solution of a single-edge crack in half-plane is proposed, which is obtained by distributing the dislocation density along the crack configuration, and considering the traction-free condition along the boundary of the half-plane. The fundamental solution is a function of the distributed dislocation density and is composed of the principal part and the complementary part. The half-plane multiple-edge crack problem can be considered as a superposition of many single-edge crack problems. Thus, a system of Cauchy singular integral equations can be formulated. By using a semi-open quadrature rule, the singular integral equations are solved. And the stress intensity factors at the crack tips can be calculated. Finally, some numerical examples are given. %K multiple-edge crack %K half-plane %K antiplane %K singular integral equation %K stress intensity factor
多边缘裂纹 %K 半平面 %K 反平面 %K 奇异积分方程 %K 应力强度应子 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=0BF5C9FB031A532ED0A6D99DC4F6181A&aid=B8D4CA6DEF4769CA&yid=37904DC365DD7266&vid=D3E34374A0D77D7F&iid=B31275AF3241DB2D&sid=27746BCEEE58E9DC&eid=933658645952ED9F&journal_id=1000-0879&journal_name=力学与实践&referenced_num=0&reference_num=7