Authors A. S. Cherepantsev
Month, Year 07, 2018 @en
Index UDC 550.343.3+550.34.016
DOI 10.23683/2311-3103-2018-7-98-110
Abstract The proposed model is based on an analysis of the the concept of the emergence of a self-organized critical state in a dissipative system of interacting discrete elements applicability (the Olami-Feder-Christensen model) to a system of discrete block structures that are in a stressed state. Considered model forms a fault system when a tension parameter in a separate element is reached critical value. The resulting rupture forms a perturbation of the stress field in the surrounding region and can thus serve as a source of the appearance of a fault dislocation in the neighboring element, etc. The evolution of such a dissipative system in time is determined by the increment at each time step the stress components with a given amount. This mechanism allows to simulate various types of loading. As a criterion for the occurrence of rupture, the Coulomb criterion for the formation of a shear fault is considered. To limit the possible compression stresses, the criterion is supplemented with the parameter of the limit compression stress. An evolutionary two-dimensional model of dislocation system calculates a catalog of discrete events, including time, coordinates, angle, and amplitude of dislocations. At the same time, the computational model also derives continuous series of variations of such parameters as mean elastic energy, mean strain of the whole system of blocks or its part at each step of evolution. Computation of the uniaxial compression model made it possible to estimate the most important properties of the spatial and energy organization of fault structures in critical state. As such parameters of state, power exponents of the dislocation distributions by size b, in the space d, and also the fractal dimension of the fault surface  are considered. It is shown that these parameters of the dynamic system are related by . The advantage of the considered model for describing both the observed properties of the spatial-temporal activity of fracture structures in natural conditions, and experimental data on the samples destruction in laboratory, is determination of physically understandable interaction of individual blocks using stress redistribution.

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Keywords OFC model; shear dislocation; Coulomb failure criterion; dynamic system.
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