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Investigating the scale effects in strength of fractured rock mass

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  • Zengchao, Feng
  • Yangsheng, Zhao
  • Dong, Zhao

Abstract

Based on the method of fractal geometry, the relationship between quantity and size of fracture in a rock mass can be studied. It was found that this relationship is power: Nδ=N0δ-D. Based on this result and theoretical analysis, the nonlinear relationship between rock mass strength and fracture quantity is found: Rc=Rcm+ΔRcExp[-BNδ].the formula includes the residual strength of fractured rock mass Rcm, the difference in value (ΔRc) between the intact rock strength Rc0 and the residual strength, and fracture quantity. Then, combining the relationship between fracture quantity and the size of rock mass, the formula of rock mass strength is found: Rc=Rcm+ΔRcExp(-BN1m2(i-1)DlE2-D). The formula includes fracture quantity, the fractal dimension of fracture quantity distribution and rock mass size. The results show that the attenuation index of rock mass strength is related to the fractal dimension of fracture quantity distribution: α=2-D.

Suggested Citation

  • Zengchao, Feng & Yangsheng, Zhao & Dong, Zhao, 2009. "Investigating the scale effects in strength of fractured rock mass," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2377-2386.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2377-2386
    DOI: 10.1016/j.chaos.2008.09.005
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    1. Carpinteri, Alberto & Paggi, Marco, 2009. "A fractal interpretation of size-scale effects on strength, friction and fracture energy of faults," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 540-546.
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