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Material surface may have a remarkable effect on the mechanical behavior ofmagneto-electro-elastic (or multiferroic) structures at nano-scale. In thispaper, a surface magneto-electro-elasticity theory (or effective boundarycondition formulation), which governs the motion of the material surface ofmagneto-electro-elastic nano-plates, is established by employing thestate-space formalism. The properties of anti-plane shear (SH) wavespropagating in a transversely isotropic magneto-electro-elastic plate withnano-thickness are investigated by taking surface effects into account. Thesize-dependent dispersion relations of both antisymmetric and symmetric SHwaves are presented. The thickness-shear frequencies and the asymptoticcharacteristics of the dispersion relations considering surface effects aredetermined analytically as well. Numerical results show that surface effectsplay a very pronounced role in elastic wave propagation inmagneto-electro-elastic nano-plates, and the dispersion properties dependstrongly on the chosen surface material parameters of magneto-electro-elasticnano-plates. As a consequence, it is possible to modulate the waves inmagneto-electro-elastic nano-plates through surface engineering.

Surface effects on anti-plane shear waves propagating in magneto-electro-elastic nano-plates