Abstract
The article investigates the evolution modes of cluster damage structure in brittle heterogeneous materials by using a three-dimensional probabilistic cellular automaton. By comparing the data of computer and physical experiments, there was established the essential role of the model parameter, which describes the intensity of the material destruction process under the influence of local overstress near the existing damage clusters - the probability of perimeter germination. The comparison of kinetic curves of damage accumulation and correlation functions showed that, depending on the probability value for damage cluster perimeter germination, two qualitatively different modes of evolution of damage accumulation process are observed. In this case, the best correspondence of correlation functions in model and physical experiment on pulsed electromagnetic emission is observed for perimeter germination probability values smaller than 0.2.
Highlights
Modern development of methods for monitoring the mode of deformation and predicting the destruction of rocks basing on pulsed electromagnetic emission [1] requires the improvement of experimental techniques, and the development of new approaches to interpreting experimental data
We investigate an internal dynamic scenario that takes into account the dependence of probabilities of cluster perimeter germination on its size – the root-meansquare radius R2 through the stress concentration near the cluster boundary [4]
For a dynamic internal scenario, the kinetics of elementary damage accumulation in a three-dimensional model depending on the probability of damage clusters perimeter germination pspr shows two qualitatively different modes of cluster structure evolution
Summary
Modern development of methods for monitoring the mode of deformation and predicting the destruction of rocks basing on pulsed electromagnetic emission [1] requires the improvement of experimental techniques, and the development of new approaches to interpreting experimental data. The model allows studying separately, but synchronously and consistently, the kinetics of newly occurring fractures (analogues of emission pulses in a physical experiment) and the spatial and temporal dynamics of the damage clusters configuration formed by them, obtaining statistical characteristics of processes such as correlation functions, Hurst statistics, cluster size distribution functions.
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