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On bending an elastic plate with a delaminated thin rigid inclusion

A. M. Khludnev<sup>ab

a</sup> Lavrent'ev Institute of Hydrodynamics SB RAS, Novosibirsk, RUSSIA
^b Novosibirsk State University, Novosibirsk, RUSSIA

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.

Keywords: plate, bending, rigid inclusion, crack, delamination.

UDC: 539.3+517.958

Received: 30.03.2010

 English version: Journal of Applied and Industrial Mathematics, 2011, 5:4, 582–594

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