岩体爆破破碎过程中的分形效应

英文篇名：Fractal Effect of Crack Spreading in Rock Blasting
中文刊名：凿岩机械气动工具
作者：吴立 ; 阎天俊
英文作者：Wu Li Yan Tianjun (Faculty of Engineering ; China University of Geosciences ; Wuhan ; 430074 )
中文关键词：岩体爆破 ; 裂纹扩展 ; 分形效应
英文关键词：rock blasting ; crack spreading ; fractal effect
出版日期：2002-08-15
机构：中国地质大学工程学院,中国地质大学工程学院湖北武汉430074 ,湖北武汉430074
年：2002
期：03
出版单位：凿岩机械气动工具

摘要

在爆炸荷载作用下,岩体裂纹扩展速度的实测值与理论分析值之间存在较大差异。采用当前的动态断裂理论尚不能定性和定量地解释实测值与理论值之间的差异。运用分形理论分析了造成这种差异的原因,讨论了裂纹扩展过程中的分形效应、裂纹的分形扩展对裂纹扩展速度以及动态应力强度因子的影响。
There is a big difference between the experimental data and the theoretical result of crack spreading in rock under explosion load. And the difference can not be explained qualitatively and quantitatively by the present dynamic fracture theory. Based on fractal theory, this paper analyses the fractal effect during the process of crack propagation and discusses the influence of fractal spreading on propagation velocity and on stress dynamic intensity factor of rock cracks. The reasons of the difference between the experimental data and the theoretical result of crack spreading in rock under explosion load are also explained satisfactorily in this paper.

引文

[1]吴立.爆炸荷载作用下材料裂纹扩展速度的实验研究[J].爆破,1998,（4）:1～4.
    [2]Freund L B,Dynamic Fracture Mechanics [M].Cam-bridge:Cambridge University Press, 1990.3-60.
    [3]谢和平.分形几何:数学基础与应用[M].重庆:重庆大学出版社,1991.21-58.
    [4]Xie H P,Sanderson D J. Fractal Effect of Rapidly Propagation Cracks. In: Proc.of the 2nd Int.Conf. Nonlinear Mech ,Breijing,1995.
    [5]安秀树.分数维[M].北京:地震出版社,1989.10- 74.
    [6]Kannien M F,PopelarC H.洪其麟等译.高等断裂力学[M].北京:北京航空学院出版社,1987.139-152.