Abstract
The problem of equilibrium of a thin elastic plate containing a rigid inclusion is considered. On part of the interface between the elastic plate and the rigid inclusion, there is a vertical crack. It is assumed that, on both crack edges, the boundary conditions are given as inequalities describing the mutual impenetrability of the edges. The solvability of the problem is proven and the character of satisfaction of the boundary conditions is described. It is also shown that the problem is the limit problem for a family of other problems posed for a wider region and describing equilibrium of elastic plates with a vertical crack as the rigidity parameter tends to infinity.
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References
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Original Russian Text © A.M. Khludnev, 2010, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2010, No. 5, pp. 98–110.
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Khludnev, A.M. Problem of a crack on the boundary of a rigid inclusion in an elastic plate. Mech. Solids 45, 733–742 (2010). https://doi.org/10.3103/S0025654410050092
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DOI: https://doi.org/10.3103/S0025654410050092