Abstract

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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