Latyshev O. G., Frants V. V., Prishchepa D. V. – The Ural State Mining University, Ekaterinburg, the Russian
Federation. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Rock breaking in a mine working in the presence of developed fissure system happens, as a rule, due to the shift along
the surface of weakness. Experimental investigation of the given process is complicated by a high labor intensity of fullscale
experiments and impossibility of multiple shears along one and the same fissure. In this conditions imitational
modeling of the process with the method of Monte-Carlo is an efficient means of investigation. For its realization
the establishment of quantitative relations is required, which define the character of rock deformation before and after the
achievement of ultimate shearing stress at the shear. On the basis of experimental investigations the present work
determines the equations of ascending and descending branches of stress-strain curve. The equation of shear rigidity of
fissures on the basis of the fractal dimension of its trajectory is obtained. Estimation procedure of remaining strength at
rock shear along the fissure is substantiated. Model validity check by way of comparing the results of its realization with
experimental data has shown their statistically reliable correspondence within the accuracy of observations.
The application of the developed model allows investigating regularities of shear along the fissure process for various
rocks and conditions. Averaging of multiple realizations of a model increases the reliability of received date.

Key words: rocks; shear along the fissure; modeling; fractal analysis.

REFERENCES
1. Sobol' I. M. Metod Monte-Karlo [Monte-Carlo method]. Moscow, Nauka Publ., 1978. 64 p.
2. Barton N. R., Bandis S. C. Effect of block size on the shear behavior of jointed rock. 23rd U.S. Symp. on Rock
Mechanics. Berkeley, 1982, pp. 739–760.
3. Rechitskii V. I., Erlikhman S. A. [Modern methods of shearing strength along the fissure determination].
Geoekologiia – Geoecology, 1997, no. 5, pp. 102–114. (In Russ.)
4. Latyshev O. G., Frants V. V., Prishchepa D. V. [Fractal dimension of a fissure as a measure of roughness]. Izvestiya
vysshikh uchebnykh zavedenii. Gornyi zhurnal – News of the Higher Institutions. Mining Journal, 2015, no. 8,
pp. 55–60. (In Russ.)
5. Latyshev O. G., Prishchepa D. V. [The forecast of deformational characteristics of jointed rock massif]. Izvestiya
vysshikh uchebnykh zavedenii. Gornyi zhurnal – News of the Higher Institutions. Mining Journal, 2017, no. 1,
pp. 80–85. (In Russ.)
6. Latyshev O. G. Razrushenie gornykh porod [Rock break up]. Moscow, Teplotekhnik Publ., 2007. 672 p.
7. Rechitskii V. I. [Results of experimental investigations of fissure rigidity in hard rocks]. Geoekologiia – Geoecology,
1998, no. 2, pp. 88–99. (In Russ.)