Affiliations: [a] Graduate School at Shenzhen, Harbin Institute of
Technology, Harbin 150001, P.R. China | [b] School of Materials Science and Engineering, The
University of New South Wales, Sydney, NSW 2052, Australia
Abstract: This paper studies the problem of a line inclusion in a medium
possessing coupled piezoelectric, piezomagnetic and magnetoelectric effects.
Based on the extended Stroh formalism, the general two-dimensional solutions to
the magnetoelectroelastic problem are obtained, involving five analytic
functions of different variables. The magnetic, electric and elastic fields
around the inclusion are given. Expressions of the stresses, electric field and
magnetic field in the vicinity of the inclusion tip are derived and the field
intensity factors are provided. The energy release rate is written in terms of
those field intensity factors. Solutions for some special cases, including the
electrically and/or magnetically insulated/conductive inclusions/cracks, are
also established. Explicit algebraic results are given for a special case of an
anti-plane crack in a magnetoelectroelastic medium.
