ISSN 2307-2091 (Print) 

ISSN 2500-2414 (Online)

§     HOME      № 4 (52) 2018


Andrey Viktorovich ZHABKO

УДК 622.83


A. V. Zhabko / News of the Ural State Mining University. 2018. Issue 4(52), pp. 98-107


Relevance of the research is due to the fact that there are some problems in geomechanics associated with the incorrect presentation of the mountain mass by the continuum environment. In this regard, some fundamental problems may occur in determining the strength and deformation properties of mountain ranges, the calculation of their stress-strain behavior.
Purpose of the study is to summarize the existing problems of geomechanics, determination the most significant ones, as well as to discuss possible ways to overcome them.
Methods of the study. Analytical methods of the research with experimental verification of the specified results are used in this work. Results and their application. This paper is intended to propose analytical criteria for plasticity and strength for rocks and other artificial materials, as well as the function of plastic potential for the strike-slip character of plastic deformation and destruction, based on the representation of solid bodies as the continuum environment. The proposed criteria and function of plastic potential were compared and adjusted with some experimental studies on the destruction of mountain rocks in a complex stress pattern. A variational principle of the disintegration of mountain ranges is proposed, which makes it possible to determine the geometry of the surfaces of disintegration. It follows that the surface of disintegration minimizes areas (volumes) with reduced potential (plastic), and areas with increased potential (elastic, energy-intensive ones) increase while minimizing the energy spent on creating surfaces (their length). On the basis of this principle, dependence has occurred; it connects the radius of curvature of the surface of shear disintegration and the main stresses while destruction by body forces (for example, gravity). A criterion for a crack extension or a fundamental hierarchy parameter (linear factor of blocks) is proposed; it is established that its value is determined by the angle of shearing resistance, as a measure for energy dissipation during when shearing. When considering a mountain massif as a discretic block medium, the sine-Gordon equation was obtained, which describes the deformation dynamics.
Conclusions. According to the results of the research, a number of criteria, principles, and dependencies were proposed that determine the processes of plastic deformation and destruction (disintegration) of rocks based on continuum and block-hierarchical models of the mountain massif.

Keywords: problems of geomechanics, strength and deformation properties of mountain ranges, disintegration and destruction of rocks, plastic deformation, sin-Gordon equation.




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