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标题：Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack
来源：《国际工程学杂志》2001年39卷12期1405-1418页
作者：石家庄铁道学院土木工程系 Jin-Xi Liu（刘金喜）, Xiang-Lin Liu（刘响林）, Yong-Bin Zhao（赵永斌）
Research Fronts: ANISOTROPIC MAGNETOELECTROELASTIC SOLIDS; CRACK PROBLEMS; MAGNETOELECTROELASTIC COMPOSITE; CRACK INITIATION BEHAVIOR; EXACT SOLUTION
领域：工程
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 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.
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