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This article is cited in 3 scientific papers (total in 3 papers)
Discrete Models for Real Processes
Cellular automaton simulation of the fracture process for brittle materials
D. V. Alekseeva, G. A. Kazuninab, A. V. Cherednichenkob a Kemerovo branch of Plekhanov Russian University of Economics, Kemerovo, Russia
b Kuzbass State Technical University named after T. F. Gorbachev, Kemerovo, Russia
Abstract:
A three-dimensional probabilistic cellular automaton is constructed to simulate the evolution of cluster structure of elementary damages in loaded materials. The comparison of the statistical characteristics of time series “number of clusters” and “number of elementary damages” are made for three-dimensional and two-dimensional cellular automata. It is shown, that the transition of the time autocorrelation function of a random process “number of elementary damages” to the range of negative correlations and the emergence of the second linear portion on the statistics of the normalized Hurst's range can be interpreted as presages of material transition to the stage preceding to complete destruction. It is found that, for the three-dimensional model based on the value of probability of damage cluster perimeter germination, there are two qualitatively different modes of damage accumulation.
Keywords:
cellular automaton, damage clusters, fracture prediction.
Citation:
D. V. Alekseev, G. A. Kazunina, A. V. Cherednichenko, “Cellular automaton simulation of the fracture process for brittle materials”, Prikl. Diskr. Mat., 2015, no. 2(28), 103–117
Linking options:
https://www.mathnet.ru/eng/pdm500 https://www.mathnet.ru/eng/pdm/y2015/i2/p103
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Abstract page: | 143 | Full-text PDF : | 64 | References: | 30 |
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