Stress components near the singular points at a load-free end section of a layered cylinder

In this paper, special points of a composite deformable body (points on the edge of joint surface) are considered as ordinary points of continuous medium representing infinitely small particles obtained by contracting elementary volumes towards these points. Such an approach supposes the singular points to be located in the solution area and makes it possible to formulate the conditions (restrictions) for state parameters in these points. It is shown that the number of restrictions on the line of singular points on the end face of double-layered cylinder is defined by material and geometric parameters of the structural element, and, generally, exceeds the number of boundary conditions specified at the ordinary points of body surface. This fact specifies a non-classical formulation of the problem of deformable solid mechanics. In this work, various statements of the solid mechanics problems are developed for a considered construction element. The critical combinations of geometric and material parameters leading to a singular nature of the stress state at the singular points are revealed. A solution to the problem of double-layered cylinder under temperature loading is obtained using the numerical-analytical iterative method. The results presented could be applied in mechanics of composites and during the study of edge effects in the layered structures or stress concentration at the points of surface edge of glue joints.