Ⅰ-Ⅱ-Ⅲ复合型裂缝应力强度因子与能量释放率的关系  

Relationship between stress intensity factor and strain energy release rate of Ⅰ-Ⅱ-Ⅲ mixed mode cracks

作　　者：曹晨曦[1] 王向东[1] 吴京[1] 

机构地区：[1]河海大学力学与材料学院,江苏南京210098

出　　处：《河北工程大学学报（自然科学版）》2016年第4期10-13,21,共5页Journal of Hebei University of Engineering:Natural Science Edition

基　　金：国家自然科学基金资助项目(50878077);"十一五"国家科技支撑计划(2008BAB29B03)

摘　　要：基于断裂力学理论,应用复合型断裂判据中的最大周向应力判据和最大拉应变判据,以单一型裂缝应力强度因子K与能量释放率G的关系为基础,推导出Ⅰ-Ⅱ-Ⅲ复合型裂缝应力强度因子K_Ⅰ、K_Ⅱ、K_Ⅲ与能量释放率G_(Ⅰ-Ⅱ-Ⅲ)关系公式;并应用有限元软件进行Ⅰ-Ⅱ-Ⅲ复合型裂缝的有限元模拟,模拟值与理论值之间相差为1.14%,拟合良好,分析验证了复合型裂缝应力强度因子K_Ⅰ、K_Ⅱ、K_Ⅲ与能量释放率G_(Ⅰ-Ⅱ-Ⅲ)关系公式的合理性。Based on the theory of fracture mechanics, the maximum stress criterion and the maximum principal strain criterion, the relationship between stress intensity factor and strain energy release rate of Ⅰ-Ⅱ-Ⅲ mixed mode cracks was studied. And the Ⅰ-Ⅱ-Ⅲ mixed mode fracture cracks were simulated by using the finite element software. And the relative error between the simulated value and the theoretical value is , which is within the tolerance range. It is shown that the formula of the rela-tionship between stress intensity factor and strain energy release rate of Ⅰ-Ⅱ-Ⅲ mixed mode cracks is reasonable.

关 键 词：Ⅰ-Ⅱ-Ⅲ复合型裂缝 应力强度因子 能量释放率 有限元模拟 

分 类 号：TV313[水利工程—水工结构工程]