Rayleigh wave propagating in layered magneto-electro-elastic material structures
ABSTRACT An exact approach is used to investigate Rayleigh waves in magneto-electro-elastic material structure which involves a piezomagnetic layer bonded to a semi-infinite homogeneous piezoelectric substrate. The piezomagneticity and piezoelectricity are both polarized in z-axis direction. The analytical solution of dispersion relations is obtained and the results are presented.
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ABSTRACT: In this paper, an exact solution is presented for the multilayered rectangular plate made of functionally graded, anisotropic, and linear magneto-electro-elastic materials. While the edges of the plate are under simply supported conditions, general mechanical, electric and magnetic boundary conditions can be applied on both the top and bottom surfaces of the plate. The functionally graded material is assumed to be exponential in the thickness direction and the homogeneous solution in each layer is obtained based on the pseudo-Stroh formalism. For multilayered plate structure, the propagator matrix method is employed so that only a 5 × 5 system of linear algebraic equations needs to be solved. The exact solution is then applied to two functionally graded (exponential) sandwich plates made of piezoelectric BaTiO3 and magnetostrictive CoFe2O4, under mechanical and electric loads on the top surface. While the numerical results clearly show the influence of the exponential factor, magneto-electro-elastic properties, and loading types on induced magneto-electric-elastic fields, they can also serve as benchmarks to numerical methods such as the finite and boundary element methods.International Journal of Engineering Science. 01/2005;
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ABSTRACT: An analytical approach is taken to investigate Love wave propagation in layered magneto-electro-elastic structures with initial stress, where a piezomagnetic (piezoelectric) material thin layer is bonded to a semi-infinite piezoelectric (piezomagnetic) substrate. The magneto-electrically open and short conditions are applied to solve the problem. The phase velocity of the Love wave is numerically calculated for the magneto-electrically open and short cases, respectively. The effect of the initial stress on the phase velocity and the magneto-electromechanical coupling factor are studied in detail for piezomagnetic ceramics CoFe2O4 and piezoelectric ceramics BaTiO3. We find that the initial stress has an important effect on the Love wave propagation in layered piezomagnetic/piezoelectric structures.Acta Mechanica 01/2007; 192(1):169-189. · 1.25 Impact Factor
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ABSTRACT: Exact solutions are derived for three-dimensional, anisotropic, linearly magneto-electro-elastic, simply-supported, and multilayered rectangular plates under static loadings. While the homogeneous solutions are obtained in terms of a new and simple formalism that resemble the Stroh formalism, solutions for multilayered plates are expressed in terms of the propagator matrix. The present solutions include all the previous solutions, such as piezoelectric, piezomagnetic, purely elastic solutions, as special cases, and can therefore serve as benchmarks to check various thick plate theories and numerical methods used for the modeling of layered composite structures. Typical numerical examples are presented and discussed for layered piezoelectric/piezomagnetic plates under surface and internal loads.Journal of Applied Mechanics-transactions of The Asme - J APPL MECH. 01/2001; 68(4).