Propagation of Love wave in fiber‐reinforced medium lying over an initially stressed orthotropic half‐space

Kundu, Santimoy; Gupta, Shishir; Manna, Santanu

doi:10.1002/nag.2254

Cited by 27 publications

(4 citation statements)

References 29 publications

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“…Ke et al (2005) discussed Love waves in non-homogeneous fluid saturated porous layered half-space. More recently Kundu et al (2013Kundu et al ( , 2014a have examined Love wave propagation in porous and fiber-reinforced media. Love wave in a piezoelectric layer is discussed by Manna et al (2013).…”

Section: Mmms 113mentioning

confidence: 99%

Rheological model of Love wave propagation in viscoelastic layered media under gravity

Kakar

2015

Multidiscipline Modeling in Materials and Structures

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Purpose – The purpose of this paper is to deal with the propagation of Love waves in inhomogeneous viscoelastic layer overlying a gravitational half-space. It has been observed velocity of Love waves depends on viscosity, gravity, inhomogeneity and initial stress of the layer. Design/methodology/approach – The dispersion relation for the Love wave in closed form is obtained with Whitaker’s function. Findings – The effect of various non-dimensional inhomogeneity factors, gravity factor and internal friction on the non-dimensional Love wave velocity has been shown graphically. The authors observed that the dispersion curve of Love wave increases as the inhomogeneity factor increases. It is seen that increment in gravity, inhomogeneity and internal friction decreases the damping phase velocity of Love waves but it is more prominent in case of internal friction. Originality/value – Surface plot of Love wave reveals that the velocity ratio increases with the increase of non-dimensional phase velocity and non-dimensional wave number. The above results may attract seismologists and geologists.

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Section: Mmms 113mentioning

confidence: 99%

Rheological model of Love wave propagation in viscoelastic layered media under gravity

Kakar

2015

Multidiscipline Modeling in Materials and Structures

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“…The propagation of G-type seismic waves in a heterogeneous layer lying over an initially stressed heterogeneous half-space was derived by Kundu et al (2014a). Kundu et al (2014b) also developed Love wave propagation in fiber-reinforced medium lying over an initially stressed orthotropic half-space. SH-type waves dispersion in an isotropic medium sandwiched between an initially stressed orthotropic and heterogeneous semiinfinite media was established by Kundu et al (2014c).…”

Section: Introductionmentioning

confidence: 99%

Propagation of a torsional surface wave in a non-homogeneous anisotropic layer over a heterogeneous half-space

Kundu

Gupta

Saha

et al. 2016

Journal of Vibration and Control

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This paper aims to study the dispersion of torsional surface waves in a non-homogeneous anisotropic layer over heterogeneous half-space. We consider the inhomogeneity varies exponentially with depth in the layer and in half-space three types of heterogeneities, namely, quadratic, hyperbolic and exponential are assumed. The dispersion equation has been deducted for each case in a closed form by means of variable separable method. It has been observed that for homogeneous isotropic upper layer over a homogeneous half-space, the velocity of torsional surface waves coincides with that of Love waves. Dispersion curves are plotted for different variation in inhomogeneity parameters. The effects of the medium characteristics on the propagation of torsional surface waves are discussed.

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“…Kakar and Gupta (2014) studied Love waves in an intermediate heterogeneous layer lying in between homogeneous and inhomogeneous isotropic elastic half-spaces. More recently, Kundu et al (2014a;2014b) have examined Love wave propagation in fiber-reinforced media.…”

Section: Introductionmentioning

confidence: 99%

Dispersion of Love wave in an isotropic layer sandwiched between orthotropic and prestressed inhomogeneous half-spaces

Kakar

2015

Lat. Am. j. solids struct.

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An in-depth study has been carried out for the dispersion of Love waves in an isotropic elastic layer sandwiched between orthotropic and prestressed inhomogeneous elastic half-spaces. The inhomogeneities in density and rigidity of the lower half-space are space dependent and an arbitrary function of depth. Simple mathematical techniques are used to obtain dispersion relation for Love wave propagation in an isotropic layer. An extensive analysis is carried out through numerical computation to explore the effect of inhomogeneity and initial stress the lower half on the phase velocity of the Love waves. The numerical analysis of dispersion equation manifests that the phase velocity of the Love wave increases with the increase of stress parameter. The results further indicate that the inhomogeneity of the half space affect the wave velocity significantly. These results can be useful to study geophysical prospecting and understanding the cause and estimation of damage due to earthquakes.

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Propagation of Love wave in fiber‐reinforced medium lying over an initially stressed orthotropic half‐space

Cited by 27 publications

References 29 publications

Rheological model of Love wave propagation in viscoelastic layered media under gravity

Rheological model of Love wave propagation in viscoelastic layered media under gravity

Propagation of a torsional surface wave in a non-homogeneous anisotropic layer over a heterogeneous half-space

Dispersion of Love wave in an isotropic layer sandwiched between orthotropic and prestressed inhomogeneous half-spaces

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