Stresses in a non-homogeneous aelotropic solid with spherical inclusion having a rigid spherical core at the centre

The object of this paper is to consider the problem of the stress distribution in an infinite, non-homogeneous spherically isotropic solid due to a nucleus in the form of a centre of rotation. It also aims at the consideration of influence of a spherical inclusion having a rigid spherical core of non-homogeneous material of different kinds at the centre on the stress distributions, while the elastic constants are considered to be functions of position.