Showing papers by "Vadim V. Silberschmidt published in 1994"
TL;DR: In this article, the authors studied the effect of a material's stochasticity on the characteristic features of crack propagation and on the crack front morphology and showed that the fractal dimension of a crack front is a fracture process invariant.
15 citations
TL;DR: In this article, the influence of stochasticity of external action on damage accumulation is studied in terms of CDM. And the characteristic features of the evolution of the ensembles of defects are discussed on the basis of the stationary solutions of the Fokker-Planck equations.
Abstract: The influence of stochasticity of external action on damage accumulation is studied in terms of CDM. The accounting for microscopic mechanisms is based on the introduction of additional parameters—traditional damage and shear damage. Kinetic equations of damage accumulation are reformulated to account for the stochastic compo- nent of loading. The characteristic features of the evolution of the ensembles of defects are discussed on the basis of the stationary solutions of the Fokker-Planck equations.
14 citations
01 Jan 1994
TL;DR: In this article, the fractal dimension of the fractured zone is the invariant characteristic of the failure process and depends totally on the stochastic properties of material, and the analysis of the load vs time-to-fracture relation for a vast interval of loads proved the scale-invariance of the fracture process.
Abstract: The spatiotemporal evolution of damage in stochastic rocks is studied in terms of the multi—scale approach with the fractal tree used as an analogue of a discretization scheme for the region under study Such an approach, based on the fractal theory, allows quantitative information on spatial (morphology of fracture surface) and temporal scaling of the failure process to be obtained The numerical simulation for different types of stochasticity has shown that the fractal dimension of the fractured zone is the invariant characteristic of the failure process and depends totally on the stochastic properties of material The analysis of the load vs time—to—fracture relation for a vast interval of loads proved the scale—invariance of the fracture process The multifractal properties of the load distribution near fractures are studied
9 citations
01 Jan 1994
TL;DR: In this article, the fractal dimension of the crack front is shown to be invariant to the propagation process of the joints, which increases with the uniformity of the material properties distribution.
Abstract: Generation and propagation of macroscopic joints in brittle rocks depend on the evolution of defects and their interaction with cracks. The proposed approach accounts for damage accumulation and joint—damage interaction in terms of local stress intensity factors (SIF). The numerical simulation of the joint’s development in the 2D region is carried out for the various kinds of the rock stochasticity. It is shown that the fractal dimension of the crack front is the invariant of the joints’ propagation process: the fractal dimension increases with the uniformity of the material properties distribution.
3 citations