Propagation of shear waves in viscoelastic medium at irregular boundaries

Chattopadhyay, Amares; Gupta, Shishir; Sharma, V. K.; Kumari, Pato

doi:10.2478/s11600-009-0060-3

Cited by 40 publications

(12 citation statements)

References 11 publications

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“…A viscoelastic layer is supposed to be upper medium in the considered model. The governing equation of motion in a viscoelastic medium, because of source of disturbance, is expressed as (Chattopadhyay et al 2010)…”

Section: Solution For the Upper Viscoelastic Layermentioning

confidence: 99%

“…Kundu et al (2016) deal with the effect of point source on the propagation of Love wave in a heterogeneous layer and inhomogeneous half-space. Chattopadhyay et al (2010) studied the propagation of SH wave in an irregular viscoelastic layer overlying a semi-infinite half-space. The propagation of SH wave in a viscoelastic heterogeneous layer lying over a half-space having self-weight is discussed by Sahu et al (2014).…”

Section: Introductionmentioning

confidence: 99%

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A comparative analysis due to the effect of point source on generation of SH wave

et al. 2019

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The propagation of SH wave in a heterogeneous initially stressed viscoelastic layer lying over a heterogeneous initially stressed orthotropic half-space due to a point source is analysed mathematically. The dispersion equation of SH wave is obtained for the propagation of SH wave in a specified model. The method of Green's function and Fourier transformation is incorporated to obtain the dispersion equation. The curves of dispersion equation are sketched for various values of heterogeneous parameters and initial stress on angular frequency, phase velocity and damping velocity in respect of wave number. The dispersion equation is derived for some special cases which reduces to the classical equation of Lovetype wave. The present study reveals the effect of heterogeneous parameter and initial stress associated with both viscoelastic and orthotropic media.

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Section: Solution For the Upper Viscoelastic Layermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A comparative analysis due to the effect of point source on generation of SH wave

et al. 2019

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“…However, the present paper emphasises on the work of Wolf, 24,25 who studied the propagation of Love waves in layers with irregular boundaries. The solution methodology used by Wolf 24,25 was later adopted by Chattopadhyay et al 26 in order to study propagation of SH waves in viscoelastic medium at irregular boundaries. However, propagation and scattering phenomena of SH wave (Love wave) have not been studied in reduced Cosserat medium with irregular boundary till now.…”

Section: Introductionmentioning

confidence: 99%

Scattering and propagation characteristics of SH wave in reduced Cosserat isotropic layered structure at irregular boundaries

Chaki

Singh

2021

Math Methods in App Sciences

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In the present paper, scattering phenomena has been studied when propagating SH wave incident on the irregular upper boundary of a linear‐reduced Cosserat isotropic layer/half‐space configuration. Algebraic expression for dispersion equation of scattering SH wave has been deduced analytically. Expressions of displacement component and microrotational components for reflected wave have been obtained for three distinct types of irregularity, i.e., rectangular, parabolic and triangular notch‐shaped irregularity. The effect of distinct irregularity parameters on displacement and microrotational fields of reflected wave has been analysed numerically and graphically. The deduced microrotational fields due to scattering and reflection phenomena in irregular layered structure with microrotations serve as highlights of the present work which may find their application in seismic prediction, acoustic engineering and civil engineering.

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“…An analytical approach was adopted by Du et al (2007) to investigate Love wave propagation in layered magneto-electro-elastic structures with initial stress, where a thin layer of piezomagnetic (piezoelectric) material is bonded to a semi-infinite piezoelectric (piezomagnetic) substrate. Chattopadhyay et al (2010c) scrutinized the propagation of shear waves in viscoelastic medium at irregular boundaries. Many attempts have been made to study the effect of corrugated boundaries on reflection and refraction of seismic waves, but the effect of corrugated boundaries on the propagation of seismic waves through mediums pertaining to various incredible features still needs to be investigated.…”

Section: Introductionmentioning

confidence: 99%

Effect of Corrugation and Reinforcement on the Dispersion of SH-wave Propagation in Corrugated Poroelastic Layer Lying over a Fibre-reinforced Half-space

et al. 2016

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The presence of porosity and reinforcement in a medium is an important factor affecting seismic wave propagation and plays vital role in many geophysical prospects. Also, the presence of salt and ore deposits, mountains, basins, mountain roots, etc. is responsible for the existence of corrugated boundary surfaces of constituent layers. Such facts brought motivation for the present paper which deals with the propagation of SHwave in a heterogeneous fluid-saturated poroelastic layer with corrugated boundaries lying over an initially stressed fibre-reinforced elastic halfspace. Closed form of dispersion relation has been obtained and is found in well agreement to classical Love wave equation for isotropic case. The effect of corrugation, wave number, undulation, position parameter, horizontal compressive/tensile initial stress and heterogeneity on phase velocity has been analysed through numerical computation and graphical illustration. Moreover, comparative study exploring the effect of presence and absence of reinforcement in half-space on dispersion curve is the major highlight of the current study.

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Propagation of shear waves in viscoelastic medium at irregular boundaries

Cited by 40 publications

References 11 publications

A comparative analysis due to the effect of point source on generation of SH wave

A comparative analysis due to the effect of point source on generation of SH wave

Scattering and propagation characteristics of SH wave in reduced Cosserat isotropic layered structure at irregular boundaries

Effect of Corrugation and Reinforcement on the Dispersion of SH-wave Propagation in Corrugated Poroelastic Layer Lying over a Fibre-reinforced Half-space

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