Determining Stresses in an Adhesive Joint with a Longitudinal Unadhered Region Using a Simplified Two-Dimensional Theory

Abstract

A simplified two-dimensional model of an overlap adhesive joint is proposed. The problem of a stress state of an adhesive joint, along the surfaces of which unadhered regions are located, is solved analytically under the assumption that the cross-sectional displacements of carrier layers vanish. The resulting solution is a functional series, with eigenfunctions being nonorthogonal. It is shown that the presence of unadhered regions may significantly increase stresses near the edge of the adherend.