基于断裂力学的裂隙岩体强度分析初探  

PRELIMINARY STUDY ON STRENGTH OF CRACKED ROCK SPECIMEN BASED ON FRACTURE MECHANICS

作　　者：任利[1] 谢和平[1,2,3] 谢凌志[1] 艾婷[2] 

机构地区：[1]四川大学建筑与环境学院,四川成都610065 [2]四川大学水利水电学院,四川成都610065 [3]中国矿业大学(北京)岩石力学与分形研究所,北京100083

出　　处：《工程力学》2013年第2期156-162,168,共8页Engineering Mechanics

基　　金：国家重点基础研究发展规划(973)项目(2011CB201201;2010CB226802)

摘　　要：基于断裂力学讨论裂隙岩体的强度一直是断裂力学与岩石力学等学科的重要课题。通过分析单个线性裂纹在压缩载荷作用下的剪切断裂条件,明确了压缩状态下张破裂剪切断裂韧性的物理意义及求解办法。使用复变函数和边界配置法求解了裂尖应力强度因子无量纲系数,进而对张破裂压剪准则进行了改进,使之更加便捷地进行有限裂纹体断裂的预测。基于修正的压剪判据推导了裂隙岩体试件的抗压强度求解公式,算例表明该文方法所建立的强度公式是准确、可靠的。最后,详细讨论了摩擦系数、裂隙倾角、裂隙长度、黏聚力以及围压对裂隙岩体试件抗压强度的影响机理。The study on rock strength based on fracture mechanics is still a significant project in the field of fracture mechanics and rock mechanics. Through the analysis of shear failure mechanism of a single linear crack under compression, the physical mechanism of compression-shear fracture toughness for tensile failure was investigated, and the corresponding solving method was also presented. A set of complex stress functions is proposed and by using the boundary collocation method （BCM）, the dimensionless coefficients of stress intensity factors （SIFs） for a cracked specimen under compression was obtained. By using the SIF dimensionless coefficients, the compression-shear fracture criteria for tensile failure was improved and the formula of compressive strength of fractured rock specimens was derived. An example was presented to demonstrate the reliability of the method introduced in this paper. Finally, the effects of friction coefficients, crack orientation, crack length, cohesion, and confining pressure on rock compressive strength were discussed.

关 键 词：裂隙 压剪准则 复变函数 边界配置法 抗压强度 

分 类 号：TD313[矿业工程—矿井建设]