Surface waves in porous thermoelastic medium with two relaxation times

2020 ◽  
pp. 1-19
Author(s):  
Abdush Salam Pramanik ◽  
Siddhartha Biswas
Keyword(s):  
Surface Waves ◽  
Relaxation Times ◽  
Thermoelastic Medium

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 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 Effects of Rotation and Gravity Field on Surface Waves in Fibre-Reinforced Thermoelastic Media under Four Theories

2013 ◽  
Vol 2013 ◽  
pp. 1-20 ◽  
Author(s):  
A. M. Abd-Alla ◽  
S. M. Abo-Dahab ◽  
A. Al-Mullise
Keyword(s):  
Surface Waves ◽  
Rayleigh Waves ◽  
Relaxation Times ◽  
Type Ii ◽  
Physical Domain ◽  
Stoneley Waves ◽  
Harmonic Vibrations ◽  
Effects Of Rotation ◽  
Analytical Expressions ◽  
Thermoelastic Theory

Estimation is done to investigate the gravitational and rotational parameters effects on surface waves in fibre-reinforced thermoelastic media. The theory of generalized surface waves has been firstly developed and then it has been employed to investigate particular cases of waves, namely, Stoneley waves, Rayleigh waves, and Love waves. The analytical expressions for surface waves velocity and attenuation coefficient are obtained in the physical domain by using the harmonic vibrations and four thermoelastic theories. The wave velocity equations have been obtained in different cases. The numerical results are given for equation of coupled thermoelastic theory (C-T), Lord-Shulman theory (L-S), Green-Lindsay theory (G-L), and the linearized (G-N) theory of type II. Comparison was made with the results obtained in the presence and absence of gravity, rotation, and parameters for fibre-reinforced of the material media. The results obtained are displayed by graphs to clear the phenomena physical meaning. The results indicate that the effect of gravity, rotation, relaxation times, and parameters of fibre-reinforced of the material medium is very pronounced.

Three-Dimensional Interaction in Thermoelastic Medium with Two Relaxation Times Due to Thermal Source

2015 ◽  
Vol 03 (03n04) ◽  
pp. 1550003 ◽  
Author(s):  
Ibrahim A. Abbas ◽  
Rajneesh Kumar ◽  
A. Lahiri
Keyword(s):  
Normal Mode Analysis ◽  
Relaxation Times ◽  
Three Dimensional ◽  
Specific Model ◽  
Mode Analysis ◽  
Thermal Source ◽  
Thermoelastic Medium ◽  
Coupled Equations ◽  
Dimensional Interaction ◽  
Element Technique

The present study is concerned with the interaction in thermoelastic medium with two relaxation times due to thermal source. The finite element technique under normal mode analysis is used to solve the resulting nondimensional coupled equations. As an application of the approach, the particular type of thermal source has been considered. The components of displacement, stress and temperature change are computed numerically. The numerical stimulated results are depicted graphically for a specific model. The effect of rotation has been shown on the resulting quantities. Effect of relaxation times is shown on the resulting quantities by a comparison between the absence and presence of relaxation times.

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