Stress-Strain State of a Double Lap Joint of Circular Form. Axisymmetric Model

The problem of axisymmetrical strain of a structure comprising a plate weakened by a circular cutout and two circular patches lap bonded to both sides of the plate was solved. The patches are bonded to the parent plate with the help of a thin adhesive layer working in shear and peeling. The stresses over the adhesive layer thickness are deemed to be distributed evenly. The Kirchhoff-Love hypotheses were assumed for the patches. Due to structural symmetry, the parent plate is not subjected to bending. The problem considered is the generalization of the classical model of the stress state of an adhesive joint of rods to a domain with radial symmetry. The solution was obtained in analytical form. The model problem was solved. Research shows that tangential stresses achieve a maximum at a distance of about the thickness of the adhesive layer from the joint edge. Normal stresses are of the same order as that of the tangential ones. The results obtained were compared with those of finite-element modelling. The comparison demonstrated high accuracy of the suggested model.