Abstract:
The effect of a hole radius in an elastic layer on a critical external load at the moment of the onset of fracture, determined by the energy criterion, is investigated. Using the free energy flow through an interaction arc as a fracture criterion makes it possible to describe the dependence of the critical external load on the hole radius. The length of the interaction arc constructed in the vicinity of a free energy peak point is determined using a linear parameter. The introduced linear parameter for a polymethyl methacrylate layer is obtained using known experimental data. The maximum value of the linear parameter can be taken as a material constant.
Keywords:
fracture of a material volume, linear parameter, fracture criterion, Kirsch problem, interaction arc.
Citation:
V. V. Glagolev, A. A. Markin, “Effect of a linear parameter on the brittle fracture of an elastic layer with a circular hole”, Prikl. Mekh. Tekh. Fiz., 64:5 (2023), 159–165; J. Appl. Mech. Tech. Phys., 64:5 (2024), 871–877
\Bibitem{GlaMar23}
\by V.~V.~Glagolev, A.~A.~Markin
\paper Effect of a linear parameter on the brittle fracture of an elastic layer with a circular hole
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2023
\vol 64
\issue 5
\pages 159--165
\mathnet{http://mi.mathnet.ru/pmtf1818}
\crossref{https://doi.org/10.15372/PMTF202315252}
\elib{https://elibrary.ru/item.asp?id=54618705}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2024
\vol 64
\issue 5
\pages 871--877
\crossref{https://doi.org/10.1134/S0021894423050164}
Linking options:
https://www.mathnet.ru/eng/pmtf1818
https://www.mathnet.ru/eng/pmtf/v64/i5/p159
This publication is cited in the following 3 articles:
V. V. Glagolev, A. A. Markin, “Brittle Fracture of an Elastic Layer with a Defect in the Form of a Circle under Biaxial Loading”, Mech. Solids, 59:1 (2024), 27
V. V. Glagolev, A. A. Markin, “Brittle fracture of an elastic layer with a defect in the form of a circle under biaxial loading”, Izvestiâ Rossijskoj akademii nauk. Mehanika tverdogo tela, 2024, no. 1, 223
G. N. Kuvyrkin, A. A. Sokolov, “Solution of the problem of stress-strain state of a plate with an elliptical cut under mechanical and temperature loads in a nonlocal formulation”, J. Appl. Mech. Tech. Phys., 65:4 (2024), 762–770
Citation in format AMSBIB
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