Uniform fields inside an anisotropic elastic open inhomogeneity

Abstract

Using the sextic Stroh formalism, we show that the strains and stresses inside an anisotropic elastic parabolic inhomogeneity are uniform when the surrounding anisotropic elastic matrix is subjected to uniform loading at infinity. All of the uniform strains and stresses inside the inhomogeneity are independent of the single geometric parameter characterizing the two-phase structure. In addition, some strain and stress components within the inhomogeneity simply coincide with their remotely prescribed counterparts in the matrix.