Prediction of the nature of cracking and the paths of crack propagation in nanolayer surface systems based on the method of calculating percolation by nodes and bonds and the scheme of branching processes

Sergey N. Grigoriev; Mars S. Migranov; Artem A. Ershov; Vladimir P. Tabakov; Petr M. Pivkin

doi:10.1117/12.2623064

30 May 2022 Prediction of the nature of cracking and the paths of crack propagation in nanolayer surface systems based on the method of calculating percolation by nodes and bonds and the scheme of branching processes

Sergey N. Grigoriev, Mars S. Migranov, Artem A. Ershov, Vladimir P. Tabakov, Petr M. Pivkin

Author Affiliations +

Proceedings Volume 12091, Image Sensing Technologies: Materials, Devices, Systems, and Applications IX; 120910H (2022) https://doi.org/10.1117/12.2623064
Event: SPIE Defense + Commercial Sensing, 2022, Orlando, Florida, United States

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Abstract

Since the operating conditions of nanolayer systems are usually stochastic, modeling the processes occurring in them requires the use of probabilistic methods. The application of the method for calculating percolation by nodes and bonds for solving the problem of stochastic loading of nanolayer structures is facilitated in comparison with those usually used in various physical and technical problems. In this case the impact is not carried out at the boundary of the two-dimensional region of the nanomaterial, with the finding of stresses and strains inside the layer. Instead, stresses and strains are determined in the very surface layer of the material under the influence of an external load. Here we show that with an increase in the number of nodes and bonds in the system, the development of a crack is slow down and that the use of layered systems with a superlattice crystal structure, with minimized internal residual stresses, can provide increased crack resistance.

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Sergey N. Grigoriev, Mars S. Migranov, Artem A. Ershov, Vladimir P. Tabakov, and Petr M. Pivkin "Prediction of the nature of cracking and the paths of crack propagation in nanolayer surface systems based on the method of calculating percolation by nodes and bonds and the scheme of branching processes", Proc. SPIE 12091, Image Sensing Technologies: Materials, Devices, Systems, and Applications IX, 120910H (30 May 2022); https://doi.org/10.1117/12.2623064

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