We obtain the solution of a plane problem of the theory of elasticity on the phenomenon of “healing” of a crack in an anisotropic body. By using the model of Winkler’s base, this problem is reduced to a singular integrodifferential equation for the displacements of points of the crack surface. In the case of a defect in the form of flattened ellipse, we obtain the exact analytic solution of the problem. The limit equilibrium state of the plate with a filled crack is estimated by using the energy criterion. We also determine the optimal strength of the injection material after hardening (maximizing the strength of the plate).
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 55, No. 6, pp. 26–31, November–December, 2019.
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Sylovanyuk, V.P., Ivantyshyn, N.A. Healing of Cracks in Anisotropic Bodies. Mater Sci 55, 804–811 (2020). https://doi.org/10.1007/s11003-020-00373-6
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DOI: https://doi.org/10.1007/s11003-020-00373-6