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Green’s functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack. (English) Zbl 1210.74073

Summary: 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 magnetoelectroelastic 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 piezoelectric solids with an elliptical cavity, which shows that our results are correct and universal.

MSC:

74F15 Electromagnetic effects in solid mechanics
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