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To the Theory of Formation of Large Cracks in Brittle Solids

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Abstract

Model of formation of large cracks in brittle solids taking into account various space–time scales of crack accumulation during deformation is constructed. In the framework of the phase field method, a system of two coupled nonlinear parabolic equations which describes the deformation of a loaded medium during crack initiation is obtained on two spatial and time scales. The conditions at which a homogeneous distribution of cracks becomes instable are found. The development of the instability is accompanied by the formation of large cracks.

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ACKNOWLEDGMENTS

The authors are grateful to L.B. Zuev for useful advice and discussion of the results.

Funding

This work is supported by the Russian Scientific Foundation, project no. 19-17-00122.

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Authors and Affiliations

  1. Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Science, 634055, Tomsk, Russia

    Yu. A. Khon

  2. National Research Tomsk State University, 634050, Tomsk, Russia

    P. V. Makarov

Authors
  1. Yu. A. Khon
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  2. P. V. Makarov
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Corresponding authors

Correspondence to Yu. A. Khon or P. V. Makarov.

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The authors declare that they have no conflicts of interest.

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Translated by Yu. Ryzhkov

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Khon, Y.A., Makarov, P.V. To the Theory of Formation of Large Cracks in Brittle Solids. Phys. Solid State 63, 1009–1013 (2021). https://doi.org/10.1134/S1063783421070106

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  • DOI: https://doi.org/10.1134/S1063783421070106

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