Axisymmetric torsion of an elastic space with a thin elastic inclusion

Abstract

The state of stress and strain of an elastic isotropic space with a thin foreign disc-like inclusion whose edge has the shape of a small-aperture angle is investigated by the method of combined asymptotic expansions (CAE) /1–3/. The elastic system is in a state of axisymmetric torsion. The principal terms are obtained for the asymptotic expansions of the solution of the problem in a small parameter that characterizes the relative thickness of the inhomogeneity.