压缩荷载下3条对称的共线裂纹应力强度因子的解析解  

Analytical Solution of Stress Intensity Factor for Three Symmetric Collinear Cracks Under Compression

作　　者：郑涛[1,2] 朱哲明[1,2] 金文城[1,2] 曾利刚 

机构地区：[1]四川大学建筑与环境学院,四川成都610065 [2]四川大学能源工程安全与灾害力学教育部重点实验室,四川成都610065

出　　处：《四川大学学报（工程科学版）》2013年第S1期58-62,共5页Journal of Sichuan University (Engineering Science Edition)

基　　金：国家"973"计划资助项目(2010CB732005);国家自然科学基金项目(51074109);教育部创新团队计划项目(ITR1027);油气藏地质及开发工程国家重点实验室资助项目(PLN1202)

摘　　要：多裂纹问题已成为当前岩石力学及其相关领域的研究热点问题。对无限平面内3条对称的共线裂纹在双向压缩载荷下的应力强度因子进行了研究,考虑了裂纹表面摩擦力的影响及裂纹间的相互影响,并利用复变函数理论给出了其裂纹应力强度因子的精确解析解。通过数值计算,给出了侧压力以及裂纹间距对应力强度因子的影响规律,并进行了相应的光弹实验研究,其实验结果定性地验证了理论解的正确性。结果表明,裂纹应力强度因子都随着侧压力的增大而减小,随着裂纹间距的减小而增大。Multi-crack problem has become a key issue in the field of rock mechanics as well as its related disciplines.Three symmetric collinear cracks in an infinite plate under biaxial compression were investigated.Considering crack surface friction and the effect of the interval distance between two adjacent cracks,and combining complex stress function theory,the exact analytical solution of stress intensity factor(SIF) for three collinear cracks inside an infinite plate under biaxial compression was presented.The effects of the confining stress as well as the interval distance between two adjacent cracks on SIF were analyzed through the calculation results.The corresponding photoelastic experiments were conducted and the results agreed with the analytical result.The results showed that SIF decreases as confining stress increases,and SIF increases as the interval distance between two adjacent cracks decreases.

关 键 词：应力强度因子 解析解 侧压力 裂纹间距 

分 类 号：TU452[建筑科学—岩土工程] O346.1[建筑科学—土工工程]