AN ELLIPTICAL INCOMPRESSIBLE LIQUID INCLUSION IN AN INFINITE ANISOTROPIC ELASTIC SPACE

Using the Stroh sextic formalism, we analyze the generalized plane strain problem associated with an elliptical incompressible liquid inclusion in an infinite anisotropic elastic matrix subjected to a uniform loading at infinity. A realform solution of the internal uniform hydrostatic stresses, strains and rigid body rotation within the liquid inclusion is obtained in terms of the Barnett-Lothe tensors and the fundamental elasticity matrix for the surrounding matrix. Realform expressions for the hoop stress vector and hoop stress along the elliptical interface on the matrix side are also obtained. Explicit results are derived for an orthotropic elastic matrix with isotropy as a special case.