SH Surface Waves in a Dielectric Layered Piezoelectric Half Space Loaded with a Liquid Layer

2012 ◽  
Vol 98 (3) ◽  
pp. 378-383 ◽  
Author(s):  
Rong Zhang ◽  
Wenjie Feng
Keyword(s):  
Phase Velocity ◽  
Surface Waves ◽  
Liquid Layer ◽  
Finite Thickness ◽  
Wave Number ◽  
Substrate Structure ◽  
Liquid Layer Thickness ◽  
Shear Horizontal ◽  
Complex Dispersion ◽  
Piezoelectric Substrate

In this paper, we analyze the propagation of shear horizontal surface waves in a dielectric layer/piezoelectric substrate structure covered by a viscous liquid layer of finite thickness. The complex dispersion equation is derived. The numerical results show that the liquid layer thickness and dimensionless real-valued wave number have significant eff ects on the attenuation and phase velocity. In addition, it is found that in general the influence of the liquid layer viscosity on the phase velocity is opposite to that of the liquid layer density.

scholarly journals Surface Wave Propagation in a Microstretch Thermoelastic Diffusion Material under an Inviscid Liquid Layer

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Rajneesh Kumar ◽  
Sanjeev Ahuja ◽  
S. K. Garg
Keyword(s):  
Surface Waves ◽  
Half Space ◽  
Liquid Layer ◽  
Relaxation Times ◽  
Wave Number ◽  
Normal Velocity ◽  
Thermoelastic Diffusion ◽  
Inviscid Liquid ◽  
Surface Wave Propagation ◽  
The Mathematical Model

The present investigation deals with the propagation of Rayleigh type surface waves in an isotropic microstretch thermoelastic diffusion solid half space under a layer of inviscid liquid. The secular equation for surface waves in compact form is derived after developing the mathematical model. The dispersion curves giving the phase velocity and attenuation coefficients with wave number are plotted graphically to depict the effect of an imperfect boundary alongwith the relaxation times in a microstretch thermoelastic diffusion solid half space under a homogeneous inviscid liquid layer for thermally insulated, impermeable boundaries and isothermal, isoconcentrated boundaries, respectively. In addition, normal velocity component is also plotted in the liquid layer. Several cases of interest under different conditions are also deduced and discussed.

Transverse surface waves in a functionally graded piezoelectric substrate coated with a finite-thickness metal waveguide layer

2009 ◽  
Vol 94 (2) ◽  
pp. 023501 ◽  
Author(s):  
Zheng-Hua Qian ◽  
Feng Jin ◽  
Tian-Jian Lu ◽  
Kikuo Kishimoto
Keyword(s):  
Surface Waves ◽  
Finite Thickness ◽  
Functionally Graded ◽  
Waveguide Layer ◽  
Metal Waveguide ◽  
Functionally Graded Piezoelectric ◽  
Piezoelectric Substrate

Transverse surface waves in a piezoelectric material carrying a gradient metal layer of finite thickness

2009 ◽  
Vol 47 (10) ◽  
pp. 1049-1054 ◽  
Author(s):  
Zheng-Hua Qian ◽  
Feng Jin ◽  
Tianjian Lu ◽  
Sohichi Hirose
Keyword(s):  
Surface Waves ◽  
Piezoelectric Material ◽  
Metal Layer ◽  
Finite Thickness

Stationary surface waves on a circular liquid layer with constant gravity

2000 ◽  
Vol 23 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Ranis N. Ibragimov
Keyword(s):  
Surface Waves ◽  
Liquid Layer ◽  
Stationary Surface

scholarly journals Rotation and Magnetic Field Effect on Surface Waves Propagation in an Elastic Layer Lying over a Generalized Thermoelastic Diffusive Half-Space with Imperfect Boundary

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
S. M. Abo-Dahab ◽  
Kh. Lotfy ◽  
A. Gohaly
Keyword(s):  
Magnetic Field ◽  
Surface Waves ◽  
Half Space ◽  
Attenuation Coefficient ◽  
Elastic Layer ◽  
Finite Thickness ◽  
Relaxation Times ◽  
Magnetic Field Effect ◽  
Plane Boundary ◽  
Special Cases

The aim of the present investigation is to study the effects of magnetic field, relaxation times, and rotation on the propagation of surface waves with imperfect boundary. The propagation between an isotropic elastic layer of finite thickness and a homogenous isotropic thermodiffusive elastic half-space with rotation in the context of Green-Lindsay (GL) model is studied. The secular equation for surface waves in compact form is derived after developing the mathematical model. The phase velocity and attenuation coefficient are obtained for stiffness, and then deduced for normal stiffness, tangential stiffness and welded contact. The amplitudes of displacements, temperature, and concentration are computed analytically at the free plane boundary. Some special cases are illustrated and compared with previous results obtained by other authors. The effects of rotation, magnetic field, and relaxation times on the speed, attenuation coefficient, and the amplitudes of displacements, temperature, and concentration are displayed graphically.

scholarly journals Моды волновода с пороговой нелинейностью

2020 ◽  
Vol 46 (16) ◽  
pp. 43
Author(s):  
С.Е. Савотченко
Keyword(s):  
Dielectric Constant ◽  
Optical Properties ◽  
Surface Waves ◽  
Nonlinear Optical ◽  
Layer Structure ◽  
Finite Thickness ◽  
Critical Value ◽  
Field Structure ◽  
Finite Width ◽  
Border Regions

A three-layer structure consisting of a nonlinear optical medium with a stepwise change in the dielectric constant inside which there is a dielectric layer of finite thickness is considered. The surface waves of two types of symmetry with a special field structure can propagate along the layers. Domains of finite width with different optical properties in the border regions in a nonlinear medium are formed. The formation of domains, as well as the existence of surface waves, occurs at interlayer thicknesses not exceeding a certain critical value.

scholarly journals Axially Symmetric Vibrations of Composite Poroelastic Spherical Shell

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Rajitha Gurijala ◽  
Malla Reddy Perati
Keyword(s):  
Wave Propagation ◽  
Phase Velocity ◽  
Spherical Shell ◽  
Wave Number ◽  
Biot’S Theory ◽  
Impervious Surfaces ◽  
Axially Symmetric ◽  
Spherical Shells ◽  
Biot's Theory

This paper deals with axially symmetric vibrations of composite poroelastic spherical shell consisting of two spherical shells (inner one and outer one), each of which retains its own distinctive properties. The frequency equations for pervious and impervious surfaces are obtained within the framework of Biot’s theory of wave propagation in poroelastic solids. Nondimensional frequency against the ratio of outer and inner radii is computed for two types of sandstone spherical shells and the results are presented graphically. From the graphs, nondimensional frequency values are periodic in nature, but in the case of ring modes, frequency values increase with the increase of the ratio. The nondimensional phase velocity as a function of wave number is also computed for two types of sandstone spherical shells and for the spherical bone implanted with titanium. In the case of sandstone shells, the trend is periodic and distinct from the case of bone. In the case of bone, when the wave number lies between 2 and 3, the phase velocity values are periodic, and when the wave number lies between 0.1 and 1, the phase velocity values decrease.

Wave Propagation in a Piezoelectric Coupled Solid Medium

2002 ◽  
Vol 69 (6) ◽  
pp. 819-824 ◽  
Author(s):  
Q. Wang
Keyword(s):  
Wave Propagation ◽  
Wave Velocity ◽  
Electric Potential ◽  
Solid Medium ◽  
Electric Displacement ◽  
Piezoelectric Medium ◽  
Wave Number ◽  
Mode Shapes ◽  
Coupled Structures ◽  
Shear Horizontal

Shear horizontal (SH) wave propagation in a semi-infinite solid medium surface bonded by a layer of piezoelectric material abutting the vacuum is investigated in this paper. The dispersive characteristics and the mode shapes of the deflection, the electric potential, and the electric displacements in the thickness direction of the piezoelectric layer are obtained theoretically. Numerical simulations show that the asymptotic phase velocities for different modes are the Bleustein surface wave velocity or the shear horizontal wave velocity of the pure piezoelectric medium. Besides, the mode shapes of the deflection, electric potential, and electric displacement show different distributions for different modes and different wave number. These results can be served as a benchmark for further analyses and are significant in the modeling of wave propagation in the piezoelectric coupled structures.

Soil Investigation Using Phase Velocity and Inhomogeneity Maps of Surface Waves

2002 ◽  
Author(s):  
D.O. Orlowsky ◽  
R.M. Misiek ◽  
B.L. Lehmann
Keyword(s):  
Phase Velocity ◽  
Surface Waves
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