The antiplane problem of elasticity theory for a layered anisotropic medium which contained plane ribbon inhomogeneities was solved by using the jump function method. The external load was determined by the boundary conditions, concentrated forces and screw dislocations within layers. The inclusions were modelled by jumps of the stress and displacement vectors on the intermediate surfaces. By using Fourier integral transforms, a relationship was obtained between the stress tensor and displacement vector components, and the external load and unknown functions of the jumps. By taking account of the interaction conditions between thin inclusions and the anisotropic environment, the problem was reduced to a system of singular integral equations in the jump functions. In the general case, the latter system was solved by using the collocation method.

Antiplane Problems for Anisotropic Layered Media with Thin Elastic Inclusions under Concentrated Forces and Screw Dislocations. G.Sulym, S.Shevchuk: Journal of Theoretical and Applied Mechanics, 1999, 37[1], 47-63