Unilateral plastic delamination of a thin inclusion in the compressed layer under shear

The analytic solution of the problem of plastic delamination under shear of a plane thin rigid inclusion in the compressed layer is obtained by the methods of the theory of functions of complex variable. The inclusion is normal to the edges of the layer and located symmetrically about these edges. One side of the inclusion is in perfect contact with the medium and the other side suffers the action of friction forces caused by the compression of the layer. We determine both the length of the strips of plastic delamination as a function of the load and the load under which the inclusion becomes completely delaminated. Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 44, No. 6, pp. 47–52, November–December, 2008.