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动载作用下损伤岩体的分形与裂纹扩展的探讨
引用本文:庄新炉,徐颖.动载作用下损伤岩体的分形与裂纹扩展的探讨[J].安徽理工大学学报(自然科学版),2004,24(Z1):41-43.
作者姓名:庄新炉  徐颖
作者单位:安徽理工大学土木工程系,安徽,淮南,232001
基金项目: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.

关 键 词:分形维数  损伤  断裂  裂纹扩展
文章编号:1672-1098(2004)S0-0041-03
修稿时间:2004年3月12日

Discussion on Fractal and expanding fissure of damaged rock under dynamic load
ZHUANG Xin-lu,XU Ying,.Discussion on Fractal and expanding fissure of damaged rock under dynamic load[J].Journal of Anhui University of Science and Technology:Natural Science,2004,24(Z1):41-43.
Authors:ZHUANG Xin-lu  XU Ying  
Abstract: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.
Keywords:fractal dimension  damage  fracture  fissure expanding
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