A modification of the known nonlinear Barenblatt-Leonov-Panasyuk model of cracks is given, which allows us to obtain a continuous distribution of tensions near cracks in conditions of finite deformations and smooth closings of their boundaries. Functional relations of formation and increase of cracks are given, which assume their experimental checking together with a determination of quantitative characteristics that belong to the model of parameters.
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L. I. Sedov, Mechanics of a Continuous Medium, Vol. 2, Nauka, Moscow (1970).
V. V. Parton and E.M. Morozov, Mechanics of Elasticoplastic Destruction, Nauka, Moscow (1985).
G. I. Barenblatt and S.A. Khristianovich, “On destruction of roofs under mine workings,” Izv. AN SSSR, Otdelenie Tekhn. Nauk, No. 11, 73–86 (1955).
G. I. Barenblatt, “Mathematical theory of equilibrium cracks that are formed under brittle ruptures,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 3–56 (1961).
M. L. Leonov, “Elements of the theory of a brittle rupture,” ibid. No. 3, 85–92.
D. S. Dugdale, “Yielding of steel sheets containing slits,” J. Mech. Phys. Solids,8, No. 2, 100–104 (1960).
A. A. Kaminskii, Mechanics of Destruction of Viscoelastic Bodies, Nauk. Dumka, Kiev (1980).
Translated from Dinamicheskie Sistemy, No. 7, pp. 3–7, 1988.
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Shevlyakov, Y.A., Tishchenko, V.N. Stressed state near cracks in elastic media. J Math Sci 65, 1491–1494 (1993). https://doi.org/10.1007/BF01097649
- Stressed State
- Elastic Medium
- Continuous Distribution
- Quantitative Characteristic
- Functional Relation