Paper Title:
Application of Percolation Theory to Rock Damage and Fracture
  Abstract

Rock is a kind of complex and high-disordered geological material, its damage and fracture process usually shows obvious criticality. In this paper, percolation theory is applied to analyze and describe this critical property. First, we discuss the critical fracture probability of rock through percolation and renormalization analysis, and present the equivalence between fracture probability and damage variable. Based on scaling law and the relationship between critical exponents, a critical fractal dimension is obtained. Furthermore, according to the analysis of relationship between damage and fractal dimension, we suggest a damage-fractal formula, ω=ω0+ (D-D0)/Dc. This formula can not only be used to describe the damage evolution through the variation of fractal dimension, but also to define initial damage in rock. Finally, the theoretical conclusions are validated by a series of model experiments, and the experimental results agree with that of theoretical.

  Info
Periodical
Key Engineering Materials (Volumes 353-358)
Edited by
Yu Zhou, Shan-Tung Tu and Xishan Xie
Pages
1117-1120
DOI
10.4028/www.scientific.net/KEM.353-358.1117
Citation
P. Shao, Y. N. He, L. F. Zhou, Q. F. Zhang, "Application of Percolation Theory to Rock Damage and Fracture", Key Engineering Materials, Vols. 353-358, pp. 1117-1120, 2007
Online since
September 2007
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: I. Hilmy, M.M. Abdel Wahab, A.D. Crocombe, Ian A. Ashcroft, A.G. Solana
Abstract:Adhesive in joints will have complex stress state rather than bulk adhesives. This will lead to the assumption behind bulk adhesive that...
37
Authors: Sang Mook Han, Xiang Guo Wu, Sung Wook Kim, Su Tae Kang
Abstract:Direct uniaxial tension test of ultra high performance cementitious composites I shape specimens have been investigated in this paper. A...
829
Authors: Ming Xie, Shan Suo Zheng, Bin Wang, Lei Li, Wei Wang
Abstract:A stochastic damage constitutive model is proposed based on Kelvin spring-damper model and Li Jie spring stochastic damage model. The model...
921
Authors: Jian Hua Wen, Cui Ying Zhou, Li Huang, Ye Cheng, Lin Chong Huang, Fan Fan You
Abstract:Based on the property that micro-cells strength is consistent with lognormal distribution function, this paper presented a new statistical...
33
Authors: Jian Yuan, Wen Gang Zhu, Min Chen
Chapter 3: Security and Life Cycle Engineering Design of Civil Engineering
Abstract:The failure process for an extra-long pre-stressed concrete beam under static loads was simulated based on the elastic damage theory with the...
1318