Surface Wave Speed of Functionally Graded Magneto-Electro-Elastic Materials with Initial Stresses

Li, Li; Wei, Peijun

doi:10.2478/jtam-2014-0016

Cited by 12 publications

(3 citation statements)

References 13 publications

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“…It is necessary to investigate the effects of the initial stresses on the wave propagation behaviour in functionally graded magnetic-electric-elastic materials and structures. Li et al [18] investigated the propagation behaviour of shear surface wave in a functionally graded magneto-electro-elastic half-space with initial stresses and discussed the effects of the initial stresses and material gradient index on the surface wave velocities.…”

Section: Introductionmentioning

confidence: 99%

Propagation of Surface Waves in a Homogeneous Layer of Finite Thickness over an Initially Stressed Functionally Graded Magnetic-Electric-Elastic Half-Space

Li¹,

Wei²

2015

Journal of Theoretical and Applied Mechanics

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The propagation behaviour of Love wave in an initially stressed functionally graded magnetic-electric-elastic half-space carrying a homogeneous layer is investigated. The material parameters in the substrate are assumed to vary exponentially along the thickness direction only. The velocity equations of Love wave are derived on the electrically or magnetically open circuit and short circuit boundary conditions, based on the equations of motion of the graded magnetic-electric-elastic material with the initial stresses and the free traction boundary conditions of surface and the continuous boundary conditions of interface. The dispersive curves are obtained numerically and the influences of the initial stresses and the material gradient index on the dispersive curves are discussed. The investigation provides a basis for the development of new functionally graded magneto-electro-elastic surface wave devices.

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Section: Introductionmentioning

confidence: 99%

Propagation of Surface Waves in a Homogeneous Layer of Finite Thickness over an Initially Stressed Functionally Graded Magnetic-Electric-Elastic Half-Space

Li¹,

Wei²

2015

Journal of Theoretical and Applied Mechanics

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“…In recent years, many authors are of a great interest to the wave propagation research of MEE materials. For examples, Li [11] investigated the shear surface wave at the free traction surface of half in finite functionally graded MEE material with initial stress. The velocity equations of shear surface wave are derived on the electrically or magnetically open circuit and short circuit boundary conditions, based on the equations of motion of the graded magneto-electro-elastic material with the initial stresses and the free traction boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

A dispersion equation of Rayleigh-type waves in transversely isotropic nonlocalmagneto-electro-elastic solids half-space

Xuan

2022

Preprint

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The purpose of this research is to present the dispersion equation of Rayleigh-type waves in transversely isotropic nonlocal magneto-electro-elastic (MEE) half-space. First, the characteristic equation in nonlocal MEE halfs-pace are derived from the constitutive equations and the form solution. Then, the dispersion equation which surface wave speed satisfies is derived from the free traction condition on the surface of half-space with consideration of electrically and magnetically short/open circuit conditions. Finally, based on the obtained dispersion equation, the influence of boundary conditions are investigated in this paper. Moreover, the dependence of velocities of plane waves on the direction of propagation as well as nonlocality parameter has been also illustrated.

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“…The B–G waves, propagating in an FGPP half-space, were studied by Li et al [13]. Li and Wei [14] studied the surface wave in FGPP structures, the influences of the initial stresses and the graded function variation on the dispersion curves were analyzed. The longitudinal wave in an FGPP rod was investigated by Xue and Pan [15].…”

Section: Introductionmentioning

confidence: 99%

Magneto-Electric Effect on Guided Waves in Functionally Graded Piezoelectric–Piezomagnetic Fan-Shaped Cylindrical Structures

Zhang

Elmaimouni

et al. 2018

Materials

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Functionally graded piezoelectric–piezomagnetic (FGPP) material simultaneously consists of piezomagnetic and piezoelectric phases, which are able to convert energy among mechanical, electric, and magnetic fields. The magneto-electric effect on waves in FGPP fan-shaped cylindrical structures is studied by exploiting the double Legendre orthogonal polynomial method. By means of the Heaviside function, the initial conditions are brought into wave motion equations. Dispersion properties, electric and magnetic potential, and the Poynting vector are calculated. Subsequently, the effect of the graded variation and geometric size on wave characteristics is analyzed. The FGPP fan-shaped cylindrical structures are of complex geometrical shape and material inhomogeneity, so their influences on the magneto-electric effect are the focus of discussion. Results reveal that the cut-off frequencies have a negative relationship with the cross-section area of the structure. The magneto-electric effect could be adjusted via altering the geometric size of the cross-section. These results can be utilized to design and optimize piezoelectric–piezomagnetic fan-shaped transducers.

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Surface Wave Speed of Functionally Graded Magneto-Electro-Elastic Materials with Initial Stresses

Cited by 12 publications

References 13 publications

Propagation of Surface Waves in a Homogeneous Layer of Finite Thickness over an Initially Stressed Functionally Graded Magnetic-Electric-Elastic Half-Space

Propagation of Surface Waves in a Homogeneous Layer of Finite Thickness over an Initially Stressed Functionally Graded Magnetic-Electric-Elastic Half-Space

A dispersion equation of Rayleigh-type waves in transversely isotropic nonlocalmagneto-electro-elastic solids half-space

Magneto-Electric Effect on Guided Waves in Functionally Graded Piezoelectric–Piezomagnetic Fan-Shaped Cylindrical Structures

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