Investigation of the Stress-Strain State of Viscoelastic Piecewise-Homogeneous Bodies by the Method of Boundary Integral Equations

The problem on the stress state of a viscoelastic half-plane containing a finite number of inclusions of arbitrary shape and subjected to the action of distributed tangential and normal loads on its boundary is considered. Integral representations for the displacement vector and stress tensor are obtained for the case of an ideal mechanical contact on the conjugation contour of the regions. Discrete analogues of the boundary-temporal integral equations are constructed with account for the singularities of the stress field near the corner points. A numerical calculation is performed and the mechanical effects for an epoxy matrix with metal inclusions are analyzed.