无网格伽辽金法在裂纹扩展中的应用研究  

The Applied Study of the Element Free Galerkin Method to Crack Propagation

作　　者：李九红[1] 王雪[1,2] 赵钦[1] 

机构地区：[1]西安理工大学水利水电学院,陕西西安710048 [2]中国东方电气集团,四川成都610036

出　　处：《西安理工大学学报》2008年第4期476-479,共4页Journal of Xi'an University of Technology

基　　金：国家自然科学基金资助项目(50679069)

摘　　要：采用无网格伽辽金法,在处理裂纹不连续问题时运用透射法则,计算应力强度因子时分别采用J积分法和远场围线积分法,成功地求解出了单边裂纹有限板和单边斜裂纹有限板的位移场、应力场以及裂纹尖端的应力强度因子,并实现了对裂纹扩展的追踪。In this paper, element-free Galerkin method is adopted. The transmission rules are used to solve the problem of crack discontinuance. J-integral method and the contour integral method are employed in calculating stress intensity factors individually. As a result, the displacement and stress fields of the finit plates with single edge cracks and single inclined edge crack as well as the crack tip stress intensity factors have been successfully derived, and also, the track of crack propagation has been realized.

关 键 词：无网格GALERKIN法 复合型裂纹 应力强度因子 J积分 远场围线积分法 裂纹扩展 

分 类 号：O242[理学—计算数学]