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IssuesArchive of Issues2023-1pp.108-118

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S.V. Suknev, "Application of Methods of the Theory of Critical Distances to Estimate the Fracture of Quasi-Brittle Materials with Notches," Mech. Solids. 58 (1), 108-118 (2023)
Year 2023 Volume 58 Number 1 Pages 108-118
DOI 10.3103/S0025654422100442
Title Application of Methods of the Theory of Critical Distances to Estimate the Fracture of Quasi-Brittle Materials with Notches
Author(s) S.V. Suknev (Chersky Institute of Mining of the North, Siberian Branch, Russian Academy of Sciences, Yakutsk, 677980 Russia, suknyov@igds.ysn.ru)
Abstract The application of various methods of the theory of critical distances for evaluating the cleavage failure of a quasi-brittle plate with a notch in the form of a circular hole that is subjected to uniaxial tension, uniaxial compression, and also to the combined action of tensile and compressive stresses is considered. Critical stress calculations have been performed based on the previously proposed approach, according to which the structural parameter of the nonlocal failure criterion is represented as the sum of two terms. The first of them characterizes the actual structure of the material and is a constant, while the second one reflects the formation of inelastic deformations and depends on the plastic properties of the material, sample geometry, and boundary conditions. The calculation results are compared with known experimental data.
Keywords brittle fracture, quasi-brittle fracture, nonlocal fracture criteria, theory of critical distances, notch, stress concentration
Received 25 February 2022Revised 04 April 2022Accepted 05 April 2022
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