合肥工业大学学报（自然科学版）
閤肥工業大學學報（自然科學版）
합비공업대학학보（자연과학판）
JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE)
2009年
7期
1061-1064
,共4页
无网格Galerkin法%EFG-FE%应力强度因子
無網格Galerkin法%EFG-FE%應力彊度因子
무망격Galerkin법%EFG-FE%응력강도인자
element-free Galerkin(EFG) method%element-free Galerkin-finite element(EFG-FE)%stress intensity factor
文章采用无网格Galerkin方法与有限元(EFG-FE)耦合的方法来计算裂纹问题,这种耦合的方法不仅解决了无网格Galerkin法力学边界条件施加的难点,而且还克服了无网格Galerkin法耗时较多的缺点;运用线弹性断裂力学理论,分别采用了线性基函数、二次基函数和部分扩展基,对有限板单边裂纹的应力强度因子和受拉中心斜裂纹方形板进行了分析,数值计算结果表明了方法的有效性.
文章採用無網格Galerkin方法與有限元(EFG-FE)耦閤的方法來計算裂紋問題,這種耦閤的方法不僅解決瞭無網格Galerkin法力學邊界條件施加的難點,而且還剋服瞭無網格Galerkin法耗時較多的缺點;運用線彈性斷裂力學理論,分彆採用瞭線性基函數、二次基函數和部分擴展基,對有限闆單邊裂紋的應力彊度因子和受拉中心斜裂紋方形闆進行瞭分析,數值計算結果錶明瞭方法的有效性.
문장채용무망격Galerkin방법여유한원(EFG-FE)우합적방법래계산렬문문제,저충우합적방법불부해결료무망격Galerkin법역학변계조건시가적난점,이차환극복료무망격Galerkin법모시교다적결점;운용선탄성단렬역학이론,분별채용료선성기함수、이차기함수화부분확전기,대유한판단변렬문적응력강도인자화수랍중심사렬문방형판진행료분석,수치계산결과표명료방법적유효성.
The fracture problems are calculated with a coupled element-free Galerkin-finite element method. The method not only treats essential boundary conditions easily,but it also improves computation efficiency. Based on the theory of linear elastic fracture mechanics,the linear basis function,quadratic basis function and partially enriched basis function are used to analyze the stress intensity factors and the normalized stress intensity factors of the finite plates with single edge crack and a rectangular plate with a center crack under a distributed load. The numerical calculation results reveal the effectiveness of the present method.
