J* Integral of the Specific Deviator Strain Energy and Its Application
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摘要: 引进偏斜应变能的概念,对平面裂纹起裂扩展问题进行了讨论,给出了一个与路径无关的J*积分,同时对其守恒性给予了严格的证明,通过Ⅰ型裂纹的应用,其结果与现行公开发表的文献或手册结果一致.Abstract: First the deviator strain energy is introduced,then the problem of plane-crack critical growth was discussed,a path independent line integral J* was defined,furthermore its conservation was proved strictly.As application examples,mode-Ⅰ stress intensity factors of cracked beam were obtained with present approach.The results were shown to agree well with those available in the open literature.
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Key words:
- deviator strain energy /
- J* integral conservation /
- stress intensity factor /
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[1] Rice J R.A path independent integral and approximate analysis of strain concentaition by notches and crack[J].Appl Mech,1968,35:379—386. doi: 10.1115/1.3601206 [2] Kanninen M F,Popelar C H.高等断裂力学[M].洪其麟,郑光华,郑祺选等 译.北京:北京航空学院出版社,1987,116—122. [3] XIE Yun-jun,XU Hong,LI Pei-ning.Crack mouth widening energy release rate and its application[J].Theoretical and Applied Fracture Mechanics,1998,29:195—203. doi: 10.1016/S0167-8442(98)00030-5 [4] 吴祥法,范天佑,刘长河.有限变形弹性体J积分守恒及其对偶形式[J].应用数学和力学,1999,20(3):301—304. [5] 高庆主编.工程断裂力学[M].重庆:重庆大学出版社,1986. [6] Tada H,Paris P C,Irwin G R.The Stress Analysis of Crack Handbook[M].Helletown, Pennsylvania:Del Research,1973.
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