Physically nonlinear ellipsoidal inclusion in a linearly elastic medium

This paper considers a physically nonlinear ellipsoidal inclusion in an elastic space loaded at infinity by uniform external forces. Relations are obtained that link the stresses and strains at infinite points of the medium and in the inclusion (in the latter, a homogeneous stress–strain state occurs). Some examples, in particular, inclusions in the shape of oblate and prolate spheroids exhibiting nonlinear creep properties, are discussed.