Spherical Inclusion in an Elastic Matrix in the Presence of Eigenstrain, Taking Into Account the Influence of the Properties of the Interface, Considered as the Limit of a Layer of Finite Thickness

Abstract

Previously, the authors proposed a model of surface elasticity, in which the internal boundary was considered as a thin structured layer endowed with its own elasticity. The transition to the limit of an infinitely thin boundary was carried out in two stages. For a structured boundary of an interface, the governing equations of surface elasticity are formulated, generalizing the well-known Shuttleworth equations. In the present work, such a model is supplemented by boundary conditions on the interface and with its help the problem of spherically symmetric deformation of an infinite body with a spherical inclusion is considered.