Abstract
The crack problem in a medium possessing coupled piezoelectric, piezomagnetic and magnetoelectric effects is considered. A conservative integral is derived based on the governing equations for magnetoelectroelastic media. Closed-form solution is obtained for an anti-plane crack in an infinite medium. The conservative integral is used to obtain the path-independent integral near the crack tip. Expressions for stresses, electric displacements and magnetic inductions in the vicinity of a crack tip are derived. It is found that the path-independent integral around the crack tip equals the energy release rate. In the absence of applied mechanical loads, the energy release rate is always negative.
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