Adhesive Interaction Of A Piecewise-Homogeneous Orthotropic Plate With An Elastic Beam

Abstract

A piecewise-homogeneous elastic orthotropic plate, reinforced with a finite inclusion of the wedge-shaped, which meets the interface at a right angle and is loaded with tangential and normal forces is considered. By using methods of the theory of analytic function, the problem is reduced to singular integro-differential equations with fixed singularity. When the inclusion-beam has only bending stiffness and is loaded with normal forces, using an integral transformation a Riemann problem is obtained, the solution of which is presented in explicit form. The normal contact stresses along the contact line are determined and the behavior of the contact stresses in the neighborhood of singular points is established.