Abstract
A dynamic solution is presented for the propagation of waves in an electric-magneto-elastic plate composed of piezoelectric, piezomagnetic materials and elastic matrix. The electric-magneto-elastic plate is polarized along the thickness direction. The generalized displacements are expressed as the sum of the gradient of a scalar (dilatation wave) and the curl of a vector (shear wave). With the help of dynamic equilibrium equations and geometric equations, we can obtain dynamic equations of the dilatation wave and the shear wave. The conclusion that the types of the dilatation waves and the shear waves remain unchanged after being reflected by the boundary can be obtained through the analysis of these kinetic equations. The dispersion properties and phase velocity surface of the dilatation and shear wave can be obtained by solutions of dynamic equilibrium equations. Influences of the piezoelectric and piezomagnetic parameters on wave characteristics are discussed.
Highlights
IntroductionThe electric-magneto-elastic structures or materials have the capacity of converting energy from one form to the other (among mechanical, magnetic and electric energy) [1] [2], and show good application prospects in smart sensors, actuators, transducers and many other emerging devices
The electric-magneto-elastic structures or materials have the capacity of converting energy from one form to the other [1] [2], and show good application prospects in smart sensors, actuators, transducers and many other emerging devices
A dynamic solution is presented for the propagation of waves in an electric-magneto-elastic plate composed of piezoelectric, piezomagnetic materials and elastic matrix
Summary
The electric-magneto-elastic structures or materials have the capacity of converting energy from one form to the other (among mechanical, magnetic and electric energy) [1] [2], and show good application prospects in smart sensors, actuators, transducers and many other emerging devices. Hamdi Ezzin et al [5] presented a dynamic solution for the propagation of harmonic waves in magneto-electro-elastic plates composed of piezoelectric BaTiO3(B) and magnetostrictive CoFe2O4(F) material. Yu Pang et al [8] employed the stiffness matrix method and the transfer matrix method to investigated SH bulk/surface waves propagating in the corresponding infinite/semi-infinite piezoelectric (PE)/piezomagnetic (PM) and PM/PE periodically layered composites. The above existing works of literature are mainly researches on surface waves in electric-magneto-elastic plates. In the present study, characteristics of bulk wave in an electric-magneto-elastic plate have been studied, the physical of waves and the geometric dispersion of waves along the thickness of an infinite plate are simultaneously studied. The main aim of the study is to evaluate the influence of piezoelectric, piezomagnetic and elastic parameters on characteristics of bulk wave in an electric-magneto-elastic plate
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