On Rayleigh Waves in Self-reinforced Layer Embedded over an Incompressible Half-space with Varying Rigidity and Density

Gupta, Shishir; Ahmed, Mostaid

doi:10.1016/j.proeng.2016.12.178

Cited by 4 publications

(2 citation statements)

References 10 publications

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“…Abd-Alla et al (2011) obtained that the speed of shear waves depends on the direction of propagation, the anisotropy, gravity field, non-homogeneity in the initial stress anisotropic incompressible materials. Vinh and Giang (2012) and Gupta and Ahmed (2017) also explored the impact of incompressibility on propagation of surface waves in elastic medium.…”

Section: Introductionmentioning

confidence: 99%

A mathematical model of shear wave propagation in the incompressible transversely isotropic thermoelastic half-spaces

Lalawmpuia¹,

Singh²,

Zorammuana³

2022

Int. J. Eng. Sci. Tech

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This article deals with the problem of reflection and transmission of shear waves at a plane interface between two dissimilar incompressible transversely isotropic thermoelastic half-spaces. Two coupled quasi-shear waves are found to propagate due to the incompressibility of such materials. Applying appropriate boundary conditions at the plane interface, amplitude ratios of the reflected and transmitted quasi-shear waves are obtained. It has been observed that these ratios are functions of the angle of incidence, elastic and thermal parameters of the materials. These ratios are computed numerically for a particular model to see the effects of specific heat and thermal expansion on quasi-shear waves in incompressible transversely isotropic thermoelastic materials. The results are also presented graphically.

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Section: Introductionmentioning

confidence: 99%

A mathematical model of shear wave propagation in the incompressible transversely isotropic thermoelastic half-spaces

Lalawmpuia¹,

Singh²,

Zorammuana³

2022

Int. J. Eng. Sci. Tech

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“…Rayleigh waves in a self-reinforced layer over an inhomogeneous half-space were studied for geophysical and civil engineering applications. 2 In particular, they discussed the influence of inhomogeneity parameters and layer thickness on the Rayleigh wave phase velocity. In another study, Gupta and Ahmed 3 obtained analytical solutions of Rayleigh waves in a layered structure consisting of an anisotropic layer and a sandy medium.…”

Section: Introductionmentioning

confidence: 99%

Elastodynamic response of an orthotropic layered elastic half-space to time-harmonic loading

Nguyen

Quy

et al. 2022

Science Progress

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The elastodynamics of an orthotropic half-space coated by a thin orthotropic layer is theoretically investigated in this article. We newly propose explicit expressions of free Rayleigh waves in a layered half-space that are dependent on only one unknown constant representing amplitude. The main contribution is on deriving, in a simple manner, the theoretical predictions of far-field Rayleigh wave motion arising from time-harmonic loads using elastodynamic reciprocity theorems. These are the very first closed-form exact solutions found for the forced motion of Rayleigh waves in a layered half-space of orthotropic materials. To demonstrate the theoretical results, computation of Rayleigh wave motion in a jointed rock, including a layer of quartz-schist and a half-space of soil, is considered. We present the phase and group dispersion curves superimposed with the amplitude spectra that provide useful information on wave modes, frequencies, and displacement amplitudes. The inclusion of the amplitude spectra in the dispersion curves is a significant improvement over other dispersion curves currently available in the literature. The analytical predictions are compared with numerical results found by finite element analysis, and they show excellent agreement for the cases of a uniform distributed load and a varying distributed load both applied over a strip on the layer surface. The calculations obtained in the current study could generally be very useful for applications in seismology and materials characterization of coated structures.

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Analysis of Rayleigh-type surface wave propagation in a self-reinforced layer embedded overlying a sandy semi-infinite half-space

Roychowdhury,

Pramanik,

Ahmed

et al. 2024

Arab J Geosci

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On Rayleigh Waves in Self-reinforced Layer Embedded over an Incompressible Half-space with Varying Rigidity and Density

Cited by 4 publications

References 10 publications

A mathematical model of shear wave propagation in the incompressible transversely isotropic thermoelastic half-spaces

A mathematical model of shear wave propagation in the incompressible transversely isotropic thermoelastic half-spaces

Elastodynamic response of an orthotropic layered elastic half-space to time-harmonic loading

Analysis of Rayleigh-type surface wave propagation in a self-reinforced layer embedded overlying a sandy semi-infinite half-space

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