Ⅰ-Ⅱ复合型裂缝应力强度因子和应变能释放率的关系  

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

作　　者：刘梦和[1] 王向东[1] 邵兵[1] 

机构地区：[1]河海大学力学与材料学院,江苏南京210098

出　　处：《水利水电科技进展》2012年第6期31-33,共3页Advances in Science and Technology of Water Resources

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

摘　　要：为了探究复合型裂缝的应力强度因子K和应变能释放率G的关系,基于最大应力准则,采用能量法对Ⅰ-Ⅱ复合型裂缝的扩展进行理论分析。根据单一型裂缝应力强度因子和应变能释放率的关系,推导出Ⅰ-Ⅱ复合型裂缝K与G的关系公式,利用Abaqus软件建立Ⅰ-Ⅱ复合型裂缝的有限元模型,计算Ⅰ-Ⅱ复合型裂缝的应力强度因子和应变能释放率,与推导公式的计算结果进行对比,二者误差仅为2.5%,验证了推导公式的合理性。In order to study the relationship between stress intensity factor and strain energy release rate of mixed mode cracks, the growth of Ⅰ-Ⅱ mixed mode cracks is theoretically analyzed by means of the energy method based on the maximum stress criterion. A formula for the relationship between the stress intensity factor and the strain energy release rate of the Ⅰ-Ⅱ mixed mode cracks is deduced according to the available relationship between the stress intensity factor and the strain energy release rate of single mode crack. A FEM model for the Ⅰ-Ⅱ mixed mode cracks is established by use of the software ABAQUS. It is employed to calculate the stress intensity factor and strain energy release rate of the Ⅰ-Ⅱ mixed mode cracks. The model results are compared with those calculated by the deduced formula. The error is only 2. 5%, and the rationality of the proposed formula is validated.

关 键 词：Ⅰ-Ⅱ复合型裂缝 最大应力准则 应力强度因子 应变能释放率 

分 类 号：TV313[水利工程—水工结构工程]