动载作用下损伤岩体的分形与裂纹扩展的探讨  

Discussion on Fractal and expanding fissure of damaged rock under dynamic load

作　　者：庄新炉[1] 徐颖[1] 

机构地区：[1]安徽理工大学土木工程系,安徽淮南232001

出　　处：《安徽理工大学学报（自然科学版）》2004年第B05期41-43,59,共4页Journal of Anhui University of Science and Technology:Natural Science

基　　金：安徽省自然科学基金资助项目(02044501);安徽省教育厅自然科学基金资助项目(2003kj0182d)

摘　　要：由于岩石破碎过程非常复杂的,采用当前的动态断裂理论得出的裂纹扩展长度与实测值差异较大。基于分形几何和破坏力学的有关原理,讨论了动荷载作用下,岩体破碎的分形效应以及分形扩展对裂纹扩展速度和动态应力强度因子的影响。根据动态裂纹尖端的应力强度因子与静态应力强度因子的关系,建立了损伤岩体的裂纹扩展与分维数之间的关系,并从理论上对裂纹扩展长度进行了分析和计算。Because the process of rock broken is very complicated, there is a difference between the experimental data and theoretical result of expanding fissure by the present dynamic fracture theory. Based on the relative principles of fragmentation geometry and failure mechanics,discussions are made on the fractal effect of crack in rock and the influence of fractal spreading on fissure spreading velocity and on stress dynamic intensity factor under the dynamic load. According to the relationship of stress dynamic intensity factor around crack tip and stress static intensity factor, the relationship between fractal dimension and expending fissure of damaged rock is established, and the theoretical length is analysed and calculated.

关 键 词：分形维数 损伤 断裂 裂纹扩展 

分 类 号：TD231.1[矿业工程—矿井建设]