Abstract
Under study is the problem of bending an elastic plate with a thin rigid inclusion which may delaminate and form a crack. We find a system of boundary conditions valid on the faces of the crack and prove the existence of a solution. The problem of bending a plate with a volume rigid inclusion is also considered. We establish the convergence of solutions of this problem to a solution to the original problem as the size of the volume rigid inclusion tends to zero.
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Original Russian Text © A.M. Khludnev, 2011, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2011, Vol. XIV, No. 1, pp. 114–126.
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Khludnev, A.M. On bending an elastic plate with a delaminated thin rigid inclusion. J. Appl. Ind. Math. 5, 582–594 (2011). https://doi.org/10.1134/S1990478911040132
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DOI: https://doi.org/10.1134/S1990478911040132