Generalized Rayleigh surface waves in a piezoelectric semiconductor half space

Cao, Xiuyun; Hu, Simiao; Li, Jianjun; Shi, Junping

doi:10.1007/s11012-019-00944-1

Cited by 66 publications

(13 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Based on the Legendre polynomial series expansion and orthogonal function, Othmani et al [11] studied the propagation of Lamb waves in PS sandwich plates, and discussed the dispersion curves under different thicknesses of plates. Cao et al [12] investigated the propagation of generalized Rayleigh surface waves in a transversely isotropic PS half space, and analytically solved the electric potential and the perturbation of the carrier density. Li et al [13] investigated the flexural vibrations of nanoplates subjected to a transversely time-harmonic force by using the first-order shear deformation theory, and deeply discussed the tuning effect of the initial electron concentration on the mechanical and electric properties.…”

Section: Introductionmentioning

confidence: 99%

Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate

Fang,

He,

et al. 2023

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

Sandwiched functionally-graded piezoelectric semiconductor (FGPS) plates possess high strength and excellent piezoelectric and semiconductor properties, and have significant potential applications in micro-electro-mechanical systems. The multi-field coupling and free vibration of a sandwiched FGPS plate are studied, and the governing equation and natural frequency are derived with the consideration of electron movement. The material properties in the functionally-graded layers are assumed to vary smoothly, and the first-order shear deformation theory is introduced to derive the multi-field coupling in the plate. The total strain energy of the plate is obtained, and the governing equations are presented by using Hamilton’s principle. By introducing the boundary conditions, the coupling physical fields are solved. In numerical examples, the natural frequencies of sandwiched FGPS plates under different geometrical and physical parameters are discussed. It is found that the initial electron density can be used to modulate the natural frequencies and vibrational displacement of sandwiched FGPS plates in the case of nano-size. The effects of the material properties of FGPS layers on the natural frequencies are also examined in detail.

show abstract

Section: Introductionmentioning

confidence: 99%

Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate

Fang,

He,

et al. 2023

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

show abstract

“…Gu and Jin [8] investigated the propagation characteristics of the shear horizontal (SH) waves in a transversely isotropic PSC half-space with consideration of the effects of the steady-state carrier density and biasing electric field, and found that the amplification occurs when the carrier drift speed exceeds the surface wave speed. Cao et al [9] studied the dispersion and attenuation relations of generalized Rayleigh surface waves in a 6-mm PSC half-space. Using the wave-mode method, the propagation of the Rayleigh waves in an elastic half-space with a PSC thin film was investigated by Tian et al [10].…”

Section: Introductionmentioning

confidence: 99%

Rayleigh wave in layered piezoelectric semiconductor with consideration of PN junction effects

Wei

et al. 2022

Mathematics and Mechanics of Solids

View full text Add to dashboard Cite

In this paper, analytical solutions for Rayleigh wave in a transversely isotropic piezoelectric semiconductor (PSC) substrate with a covering layer of different type doping are obtained. The PN junction (called also the depletion layer), which is created by the diffusion and drifting due to the different doping type of the substrate and the covering layer, can be considered as an electrically gradient layer between the covering layer and the substrate. Making use of the state transfer equation method, the transfer matrix of the state vector of the depletion layer is derived mathematically. Based on the numerical calculations, we investigate the physical influences of the covering layer, electric boundary conditions and doping concentrations on the dispersion and attenuation, and the effects of PN junction on the wave-mode shapes. Our results show that the semiconductor will slow the Rayleigh waves and induce the attenuation. Both the phase velocity and attenuation are dependent upon the frequency. The existence of PN junction has less influences on the dispersion and attenuation but relatively large influences on the wave-mode shapes, especially, on the electric potential, carriers concentration, electric displacement, and the current density of carriers.

show abstract

“…Qu et al (2021) investigated the electromechanical fields of a thin composite semiconductor beam sandwiched by two piezomagnetic dielectric layers induced by an applied magnetic field. Furthermore, surface waves in PS have due attention (Cao et al, 2019; Gu and Jin, 2015).…”

Section: Introductionmentioning

confidence: 99%

Characteristics of complete circumferential guided wave in a piezoelectric semiconductor cylindrical shell

Chen

Zhang

Zhou

et al. 2022

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

In this paper, the characteristics of circumferential Lamb-like wave in a cylindrical shell of N-type piezoelectric semiconductor are investigated by employing the analytic Legendre orthogonal polynomial method (ALOPM). Based on the linear phenomenological theory, the governing differential equations are derived for different electrical boundary conditions, and transformed into a matrix eigenvalues problem via using the ALOPM. The dispersion solutions for a piezoelectric semiconductor cylindrical shell with big radius-thickness ratio obtained from the ALOPM are verified by comparing with the results from the global matrix method (GMM). Three-dimensional spectrum is plotted for a better observation. The spectrum of piezoelectric semiconductor is symmetrically distributed about the frequency axis, which is different from the piezoelectric dielectric material. The effects of different electrical boundary conditions, steady-state carrier density and radius-thickness ratio on phase velocity dispersion curves are illustrated. The amplitude distributions of displacement, electric potential and perturbation of the carrier density are studied. The effects of steady-state carrier density on the stress distribution are also illustrated. Non-propagating wave modes with low attenuation and high phase velocity value are found. The corresponding results presented in this work can be used to optimize the design of piezoelectric semiconductor acoustic wave devices.

show abstract

Generalized Rayleigh surface waves in a piezoelectric semiconductor half space

Cited by 66 publications

References 31 publications

Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate

Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate

Rayleigh wave in layered piezoelectric semiconductor with consideration of PN junction effects

Characteristics of complete circumferential guided wave in a piezoelectric semiconductor cylindrical shell

Contact Info

Product

Resources

About