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
2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Rajneesh Kumar ◽  
Sanjeev Ahuja ◽  
S. K. Garg

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.


2021 ◽  
Vol 95 ◽  
pp. 575-592
Author(s):  
Hamid Teymouri ◽  
Ali Khojasteh ◽  
Mohammad Rahimian ◽  
Ronald Y.S. Pak

2009 ◽  
Vol 87 (4) ◽  
pp. 377-388 ◽  
Author(s):  
Rajneesh Kumar ◽  
Rajeev Kumar

The present investigation is to study the surface wave propagation in a semi-infinite transversely isotropic elastic material with voids under a homogeneous inviscid liquid layer. The frequency equation is derive after developing the mathematical model. The dispersion curves giving the phase velocity and attenuation coefficients versus wave numbers are plotted graphically to depict the effects of voids for (i) a transversely isotropic elastic half-space with voids under a homogeneous inviscid liquid layer and (ii) a transversely isotropic elastic half-space with voids. The particle path is also obtained for Rayleigh wave propagation in a transversely isotropic elastic half-space with voids, i.e., case (ii). The amplitudes of the displacements, the volume fraction field, and the normal stresses in both the media are obtained and are shown graphically for a particular model to depict the voids and anisotropy effects. Some special cases are also deduced from the present investigation.


1964 ◽  
Vol 54 (1) ◽  
pp. 425-430
Author(s):  
H. Deresiewicz

abstract The velocity dispersion relation and the expression for the attenuation coefficient are derived appropriate to surface waves in a porous half-space supporting a layer of liquid, generalizing a solution due to Stoneley.


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