A wedge disclination along the vertex of the wedge-like inhomogeneity in an elastically anisotropic solid

Abstract

The problem of a straight wedge disclination lying along the axis of a rotationally inhomogeneous elastic medium is considered. The existence criterion for the logarithmic singularities in the stress field is established. It is shown that the wedge disclination lying along the vertex of the wedge-like inhomogeneity in an elastically anisotropic composite body can be formed by the uniform deformation and the uniform rotation of the matrix and the inhomogeneity. Non-uniform elastic strains arise only as the image effects due to the boundary conditions at the external surface. The image stresses either are regular or have a weak power-law (in some particular cases logarithmic) singularity, depending on the relation between the elastic constants of the matrix and the inhomogeneity.