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.

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 ON SURFACE WAVES IN A FINITELY DEFORMED MAGNETOELASTIC HALF-SPACE

2011 ◽  
Vol 03 (04) ◽  
pp. 633-665 ◽  
Author(s):  
P. SAXENA ◽  
R. W. OGDEN
Keyword(s):  
Magnetic Field ◽  
Wave Propagation ◽  
Surface Wave ◽  
Surface Waves ◽  
Half Space ◽  
Wave Speed ◽  
Sagittal Plane ◽  
Isotropic Energy ◽  
Surface Wave Propagation ◽  
Homogeneous Strain

Rayleigh-type surface waves propagating in an incompressible isotropic half-space of nonconducting magnetoelastic material are studied for a half-space subjected to a finite pure homogeneous strain and a uniform magnetic field. First, the equations and boundary conditions governing linearized incremental motions superimposed on an initial motion and underlying electromagnetic field are derived and then specialized to the quasimagnetostatic approximation. The magnetoelastic material properties are characterized in terms of a "total" isotropic energy density function that depends on both the deformation and a Lagrangian measure of the magnetic induction. The problem of surface wave propagation is then analyzed for different directions of the initial magnetic field and for a simple constitutive model of a magnetoelastic material in order to evaluate the combined effect of the finite deformation and magnetic field on the surface wave speed. It is found that a magnetic field in the considered (sagittal) plane in general destabilizes the material compared with the situation in the absence of a magnetic field, and a magnetic field applied in the direction of wave propagation is more destabilizing than that applied perpendicular to it.

scholarly journals Surface wave propagation in a double liquid layer over a liquid-saturated porous half-space

Sadhana ◽  
2002 ◽  
Vol 27 (6) ◽  
pp. 643-655 ◽  
Author(s):  
Rajneesh Kumar ◽  
Aseem Miglani ◽  
N. R. Garg
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Half Space ◽  
Liquid Layer ◽  
Surface Wave Propagation ◽  
Porous Half Space

scholarly journals Dispersion of surface waves in a transversely isotropic half-space underlying a liquid layer

2016 ◽  
Vol 23 (6) ◽  
pp. 2469-2477
Author(s):  
Amirhossein Bagheri ◽  
Ali Khojasteh ◽  
Mohammad Rahimian ◽  
Reza Attarnejad
Keyword(s):  
Surface Waves ◽  
Half Space ◽  
Liquid Layer ◽  
Transversely Isotropic

Effect of boundaries on wave propagation in media with microstructure: II. Surface waves in a half-space

1974 ◽  
Vol 64 (2) ◽  
pp. 387-392
Author(s):  
M. Farshad ◽  
G. Ahmadi
Keyword(s):  
Wave Propagation ◽  
Surface Wave ◽  
Surface Waves ◽  
Half Space ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Classical Elasticity ◽  
Stress Theory ◽  
Material Parameters ◽  
Surface Wave Propagation

abstract The surface-wave propagation in a half-space according to couple-stress theory is studied herein. Dispersion curves as well as displacement variations with the depth coordinate are obtained for a range of material parameters. Comparison is made with the classical elasticity predictions upon which certain conclusions are reached.

THE RESPONSE OF AN ELASTIC PLATE SUBMERGED IN A LIQUID HALF‐SPACE TO EXPLOSIVE SOUND

Geophysics ◽  
1964 ◽  
Vol 29 (3) ◽  
pp. 370-394
Author(s):  
J. H. Rosenbaum
Keyword(s):  
Half Space ◽  
Liquid Layer ◽  
Elastic Plate ◽  
Layered Medium ◽  
Wave Number ◽  
Sound Waves ◽  
Total Transmission ◽  
Complex Modes ◽  
Horizontal Wave ◽  
Shear Motion

A mathematical analysis is presented for the case of a point‐source explosion in the liquid layer above an elastic plate of infinite horizontal extent immersed in a liquid half‐space parallel to the free surface of the liquid. An asymptotic solution, valid for long times after the explosion, is derived; it expresses the pressure response in the liquid layer in terms of characteristic vibrations of the layered medium. Trapped and exponentially decaying modes have been investigated numerically for the Lucite plate in water. Special emphasis is placed on the description of sustained reverberations (singing). This phenomenon is described in terms of complex modes, where some energy travels back radially towards the source. At long times, singing can be described in terms of “standing” waves of nonvanishing horizontal wave number. It is also closely connected with a type of trapped wave in the liquid layer‐plate combination whose horizontal phase velocity is greater than the velocity of sound in the fluid, but which is completely decoupled from the liquid half‐space below the plate. At very long times, however, the strongest signal is associated with an almost completely decoupled shear motion of the plate, and the horizontal wave number approaches zero. A brief discussion of the total transmission of plane harmonic sound waves through a Lucite plate in water is given. The total transmission curves are used to show qualitatively that singing often may not be observed in connection with the above‐mentioned trapped waves.

scholarly journals Torsional Wave Propagation in a Pre-Stressed Structure with Corrugated and Loosely Bonded Surfaces

2017 ◽  
Vol 47 (4) ◽  
pp. 48-74 ◽  
Author(s):  
Manoj K. Singh ◽  
Sanjeev A. Sahu
Keyword(s):  
Dispersion Relation ◽  
Surface Waves ◽  
Initial Stress ◽  
Half Space ◽  
Analytical Model ◽  
Wave Number ◽  
Smooth Interface ◽  
Notable Effect ◽  
Heterogeneity Parameter ◽  
Torsional Surface Waves

AbstractAn analytical model is presented to study the behaviour of propagation of torsional surface waves in initially stressed porous layer, sandwiched between an orthotropic half-space with initial stress and pre-stressed inhomogeneous anisotropic half-space. The boundary surfaces of the layer and halfspaces are taken as corrugated, as well as loosely bonded. The heterogeneity of the lower half-space is due to trigonometric variation in elastic parameters of the pre-stressed inhomogeneous anisotropic medium. Expression for dispersion relation has been obtained in closed form for the present analytical model to observe the effect of undulation parameter, flatness parameter and porosity on the propagation of torsional surface waves. The obtained dispersion relation is found to be in well agreement with classical Love wave equation for a particular case. The cases of ideally smooth interface and welded interface have also been analysed. Numerical example and graphical illustrations are made to demonstrate notable effect of initial stress, wave number, heterogeneity parameter and initial stress on the phase velocity of torsional surface waves.

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