Green' s functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack

摘要

Based on the extended Stroh formalism combined with the technique of conformal mapping and the Laurent series expansion, Green's functions for an infinite two-dimensional anisotropic magnetoelectro- Elastic medium containing an elliptical cavity are obtained. The exact electromagnetic boundary conditions On the cavity surface are adopted in this analysis. When the elliptic cavity degenerates into a slit crack, the Explicit, closed-form expressions for the coupled fields and the intensity factors are also provided. When the Piezomagnetic and electromagnetic constants vanish, our results reduce to existing solutions of the pi- Ezoelectric solids with an elliptical cavity, which shows that our results are correct and universal.