A DELAMINATED INCLUSION IN THE CASE OF ADHESION AND SLIPPAGE

The plane problem of stress concentration near a thin absolutely rigid inclusion is considered. Under the action of a force and a moment, ap plied to the upper edge of the inclusion, which is completely bonded t o an elastic medium, the lower edge of the inclusion separates into la yers: a crack opens in a certain inner section and finite slippage zon es occur outside it. The problem is equivalent to a system of four sin gular integral equations in different sections. In the symmetric case, the reduction of this system to a single singular integral equation o f the Mellin-convolution type in the interval (mu, 1) turns out to be effective, as the latter equation can be solved using a previously pro posed scheme [1] as a consequence of the smallness of Ir. In the gener al case, the system is reduced to two Riemann vector problems which ar e served successively and for which analytic and asymptotic solutions are constructed. The zones of slippage and detachment, the angle of ro tation of the inclusion, the normal displacements of the lower edge of the inclusion and the contact stresses in the slippage zone are found . Copyright (C) 1996 Elsevier Science Ltd.