Abstract：On the basis of test results of micro-fracturing process and evolution of micro-cracks in rock under uniaxial compression，the theory of bifurcation，chaos and self-organization in the nonlinear dynamics are applied in the research on micro-crack property. The results show that the evolution of micro-cracks could be described by the Logistic equation，so that the evolution of micro-cracks of rock is of the characteristics of bifurcation and chaos. Meanwhile，the relationship between length and number of micro-cracks at each stress level is studied. The results show that the evolution of micro-cracks follows power law，and the system of micro-cracks in rock is of the feature of self-organization.
hao Y，Huang J，Wang R. Technical note real-time SEM observation of the micro-fracturing process in rock during a compression test[J]. Int. J. RockMech. Min. Sci. and Geomech. Abstr.，1993，30(6)：643～652
2002, Vol. 21 
