Forced shift vibrations of stamp on the border of composite half-space with interfacial partially detached thin inclusions from the matrix

Abstract

Abstract This article considers shear stationary oscillations of an absolutely rigid stamp with a flat base on the boundary plane of a composite half-space, formed by junction of homogeneous layer and half-space with interphase stripe thin absolutely rigid inclusions, one of the long sides of which is detached from the matrix. It is assumed that the half-space is deformed under the influence of periodically changing concentrated linear loads applied to the stamp and inclusions. A governing system of SIE of the second kind with respect to the amplitudes of the contact stresses acting under the stamp and inclusions, as well as the dislocation of the points of the crack edges, was obtained. Simple formulas are written for determining the intensity coefficients at the end points of cracks and crack opening.