Longitudinal fields due to a rigid line inhomogeneity in a nonhomogeneous cylinder

Abstract

A non-homogeneous elastic cylinder of radius a containing a rigid line inhomogeneity under longitudinal share is analyzed for elastic compatibility. The fields were derived in a closed form with each shown to depend only on the traction prescribed on the material it represents unlike in the case of bimaterials of the same geometry under similar loading. The stress fields are not singular and satisfy conditions of continuity across the inhomogeneity thereby showing compatibility between the matrix and the inhomogeneity.