河南理工大学学报：自然科学版
河南理工大學學報：自然科學版
하남리공대학학보：자연과학판
JOURNAL OF HENAN POLYTECHNIC UNIVERSITY
2012年
4期
459-463
,共5页
断裂力学%裂纹%扩展有限元%应力强度因子
斷裂力學%裂紋%擴展有限元%應力彊度因子
단렬역학%렬문%확전유한원%응력강도인자
fracture mechanics%crack%extended finite element%stress intensity factor
在常规有限元单元形函数中加入模拟裂纹不连续位移场的跳跃函数，在裂纹尖端构造反映位移场奇异性的裂尖增强函数，采用相互作用积分法求得裂尖应力强度因子．算例结果表明，扩展有限元方法在分析断裂力学问题时具有计算精度高，对有限元网格依赖性小，操作简便等优点．
在常規有限元單元形函數中加入模擬裂紋不連續位移場的跳躍函數，在裂紋尖耑構造反映位移場奇異性的裂尖增彊函數，採用相互作用積分法求得裂尖應力彊度因子．算例結果錶明，擴展有限元方法在分析斷裂力學問題時具有計算精度高，對有限元網格依賴性小，操作簡便等優點．
재상규유한원단원형함수중가입모의렬문불련속위이장적도약함수，재렬문첨단구조반영위이장기이성적렬첨증강함수，채용상호작용적분법구득렬첨응력강도인자．산례결과표명，확전유한원방법재분석단렬역학문제시구유계산정도고，대유한원망격의뢰성소，조작간편등우점．
Based on the traditional finite element shape functions, Heaviside functions were introduced to simulate the discontinuity in the displacement field of a crack, and the near crack tip enrichment functions were constructed to represent the near tip asymptotic field, an interaction integral method was adopted to calculate the stress intensity factors. The results show that the extended finite element method has high precision in the analysis of fracture mechanics problems, and that the crack location was independent of the FEM mesh, which provides a simple and efficient treatment of cracks.
