A Semi-Infinite Elastic Strip Bonded to an Infinite Strip

Abstract

The solution is obtained for the plane strain problem of a semi-infinite elastic strip whose end is bonded to and pressed against an infinite elastic strip. The infinite strip is supported by a pair of symmetrically located, concentrated forces. Using integral transform techniques, the solution is reduced to a set of singular integral equations of the second kind. The order of the singularity is determined and the equations are then solved numerically. The results show the normal and shear stress distributions as well as the stress-intensity factors for a range of support locations corresponding to various width ratios and material combinations.