A critical study of the stress singularities of an elastic polygon under longitudinal shear

Abstract The order of the stress singularity at its vertex of a wedge of two bonded elastic media under longitudinal shear is solved by use of the Williams method. The similar problem of an elastic wedge bonded to a rigid foundation is also solved using the same method. Next, the problem of a cylindrical elastic media whose boundary is a polygon bonded to a rigid foundation and subjected to various types of longitudinal shear loads on its boundary is considered. A number of examples are worked out and expressions for contact stresses along the bonds are given.