Interfacial crack problems in magneto-electroelastic solids

In this paper, we present an explicitly analytic solution for an electrically permeable interface crack between two dissimilar magneto-electroelastic solids. Using the Stroh formalism, we first derive the general solution under arbitrary loads by reducing the generalized 2D problem to an equivalent interface crack problem in two-elastic anisotropic media, which can be solved with well-established methods. With the analytic solution, we then study the interface crack loaded by remote uniform loads, by a generalized line force or/and by a generalized line dislocation. The results show the singular and oscillatory fields ahead of the crack tips. The electric-magnetic field within the crack has a similar singularity at the crack tip as the electric-magnetic field within the solids. In particular, when uniform mechanical-electric-magnetic loads are applied at infinity, the singular intensity depends on the material properties and the mechanical loads, but not on the electric-magnetic loads. (C) 2003 Elsevier Ltd. All rights reserved.