“…(7) Now, assume solution of equations ( 6) and ( 7) be (8) (9) Using values of u 1 and w 1 in equations ( 6) and ( 7) and separating coefficients of e -kpz and e kpz , we have (10) (11)…”
Section: Dynamics Of Sandy Layer and Semi-infinite Mediummentioning
confidence: 99%
“…Sahu et al [9] examined Rayleigh wave propagation considering an orthotropic half-space with impacts of pre-stresses and self-weight and a liquid layer. Mandi et al [10] investigated the propagation of Rayleigh waves in a geometry containing sandy media surrounded by couple stress media and orthotropic half-space.…”
In the present study, the propagation of Rayleigh wave in a sandy layer overlying a sandy semi-infinite media is investigated, with the interface considered imperfect. Expressions for displacement components are obtained. The dispersion frequency equation is derived using suitable boundary conditions. In particular cases, when interface is perfect and elastic media replace sandy media are also discussed. The effects of imperfectness and sandy parameter on the Rayleigh waves’ phase velocity are investigated using MATLAB software. The theoretical results obtained may find useful applications in geophysics, civil engineering and soil mechanics
“…(7) Now, assume solution of equations ( 6) and ( 7) be (8) (9) Using values of u 1 and w 1 in equations ( 6) and ( 7) and separating coefficients of e -kpz and e kpz , we have (10) (11)…”
Section: Dynamics Of Sandy Layer and Semi-infinite Mediummentioning
confidence: 99%
“…Sahu et al [9] examined Rayleigh wave propagation considering an orthotropic half-space with impacts of pre-stresses and self-weight and a liquid layer. Mandi et al [10] investigated the propagation of Rayleigh waves in a geometry containing sandy media surrounded by couple stress media and orthotropic half-space.…”
In the present study, the propagation of Rayleigh wave in a sandy layer overlying a sandy semi-infinite media is investigated, with the interface considered imperfect. Expressions for displacement components are obtained. The dispersion frequency equation is derived using suitable boundary conditions. In particular cases, when interface is perfect and elastic media replace sandy media are also discussed. The effects of imperfectness and sandy parameter on the Rayleigh waves’ phase velocity are investigated using MATLAB software. The theoretical results obtained may find useful applications in geophysics, civil engineering and soil mechanics
“…Kuznetsov [11] investigated variation of Stoneley waves velocity using generalized Wiechert condition by introducing two dimensionless parameters instead of one. Rayleigh wave propagation in a geometry containing sandy media surrounded by couple stress media and orthotropic half-space was investigated by Mandi et al [12]. Rayleigh wave propagation considering two cases, a heterogeneous sandy layer overlying an isotropic elastic half-space and isotropic elastic layer overlying on isotropic half-space with perfect contact was investigated by Kuznetsov [13].…”
The present study aims to investigate Rayleigh wave propagation in an isotropic sandy layer overlying an isotropic sandy semi-infinite medium, with interface considered to be imperfect (slide contact and dislocation like model). Expressions for displacement components are obtained using the variable separation method. The dispersion frequency equation for the Rayleigh wave propagating in sandy media is derived using suitable boundary conditions. Particular cases, such as when the interface is in smooth contact and when sandy media are replaced by elastic media, are also discussed. Using MATLAB software, the effects of the imperfectness parameter (slide contact and dislocation like model) and sandy parameter on the Rayleigh waves’ phase velocity are investigated and compared with the already obtained results of the dislocation like model. The present study may find useful applications in geophysics, civil engineering and soil mechanics.
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