ISSN:
1013-9826
Source:
Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Rock is a kind of complex and high-disordered geological material, its damage and fractureprocess usually shows obvious criticality. In this paper, percolation theory is applied to analyze anddescribe this critical property. First, we discuss the critical fracture probability of rock throughpercolation and renormalization analysis, and present the equivalence between fracture probabilityand damage variable. Based on scaling law and the relationship between critical exponents, a criticalfractal dimension is obtained. Furthermore, according to the analysis of relationship between damageand fractal dimension, we suggest a damage-fractal formula, ω=ω0+ (D-D0)/Dc. This formula can notonly be used to describe the damage evolution through the variation of fractal dimension, but also todefine initial damage in rock. Finally, the theoretical conclusions are validated by a series of modelexperiments, and the experimental results agree with that of theoretical
Type of Medium:
Electronic Resource
URL:
http://www.tib-hannover.de/fulltexts/2011/0528/01/55/transtech_doi~10.4028%252Fwww.scientific.net%252FKEM.353-358.1117.pdf
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