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Stress-Strain State of Elastic Plate with a Crack

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The paper considers an infinite plate with a crack in the form of a narrow hole with a certain curvature at the tip of the crack. The stress-strain state parameters of this plate under uniaxial load are studied, such as the stress-concentration factor, crack-driving force, and elastic strain energy. Determined are the elastic energy consumption during the crack propagation, general laws of the mechanical state of the cracked plate, and curvature at the tip of the crack. It is shown that, in fact, the Griffith crack has no stress singularity at the end. The stress-strain state of the plate with an elliptical shaped crack is similar to that with a uniform plastic deformation zone.

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Correspondence to E. E. Deryugin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 3–8, November, 2020.

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Deryugin, E.E. Stress-Strain State of Elastic Plate with a Crack. Russ Phys J 63, 1839–1845 (2021). https://doi.org/10.1007/s11182-021-02241-5

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  • DOI: https://doi.org/10.1007/s11182-021-02241-5

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