The dispersion of shear wave in multilayered magnetoelastic self-reinforced media

Chattopadhyay, Amares; Gupta, Shishir; Singh, Abhishek Kumar

doi:10.1016/j.ijsolstr.2010.01.019

Cited by 45 publications

(18 citation statements)

References 23 publications

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“…The limit depends on wave length = 2 k . The Equations (50) and (51) agree somehow with the stability condition as described by Chattopadhyay et al (2010).…”

Section: Stability Criterion Group and Phase Velocitysupporting

confidence: 75%

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SH-wave in a multilayered orthotropic crust under initial stress: A finite difference approach

2017

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“…The limit depends on wave length = 2 k . The Equations (50) and (51) agree somehow with the stability condition as described by Chattopadhyay et al (2010).…”

Section: Stability Criterion Group and Phase Velocitysupporting

confidence: 75%

“…When l = 2, we have, where and which exhibits the dispersion equation of SH-wave. Dispersion equation as obtained from Equation(33)agrees with the dispersion equation as described byChattopadhyay et al (2010). When l = 3, we get Equation (34) represents the dispersion equation for two layers lying over a half space.…”

supporting

confidence: 76%

SH-wave in a multilayered orthotropic crust under initial stress: A finite difference approach

2017

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“…Chattopadhyay and Choudhury (1995) examined the propagation of magnetoelastic shear waves in an infinite self-reinforced plate. Chattopadhyay et al (2010) considered the dispersion of shear wave in multilayered magnetoelastic selfreinforced media. Chattopadhyay and Singh (2012) explored the propagation of shear waves in an internal irregular magnetoelastic self-reinforced stratum which is sandwiched between two semi-infinite magnetoelastic self-reinforced elastic media.…”

Section: Introductionmentioning

confidence: 99%

Reflection and transmission of plane SH-waves in an initially stressed inhomogeneous anisotropic magnetoelastic medium

Majhi

Pal

Kumar³

2016

J Seismol

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This study investigates the reflection and transmission of plane SH-waves in two semi-infinite anisotropic magnetoelastic media. The lower halfspace is considered as initially stressed and inhomogeneous. The density of lower half-space is taken exponentially varying with depth. The solutions for halfspaces are obtained analytically. The expressions for reflection and transmission coefficient are obtained in the closed form subject to continuity conditions at the interfaces of anisotropic magnetoelastic half-spaces and the Snell's law. It is found that these coefficients depend on the initial stress, inhomogeneity parameter, the magnetoelastic coupling parameter, and the angle at which wave crosses the magnetic field of the halfspaces. Numerical computations are performed for these coefficients for a specific model of two different anisotropic magnetoelastic half-spaces. The numerical results are illustrated by the graph of reflection and transmission coefficient versus the angle of incidence. In general, as the initial stress increases the reflection and transmission coefficient increases, the affect is more prominent for more than 10 GPa. Inhomogeneity in the density of the material also increases the reflection and transmission coefficient. The anisotropic magnetoelastic parameter and the angle at which the wave crosses the magnetic field for both the half-spaces have a quite significant effect on the reflection and transmission coefficient.

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“…The idea of introducing a continuous reinforcement at every point of an elastic solid was given by Belfield et al [4]. Recently, some work related to Love wave propagation in fibrereinforced material with different geometries was done by Chattopadhyay et al [5,6]. The low weight and high strength of fibre-reinforced materials make its role crucial in the field of construction works.…”

Section: Introductionmentioning

confidence: 99%

Propagation of Love-Type Wave in a Corrugated Fibre-Reinforced Layer

2016

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The present paper investigates the propagation of Love-type waves in an initially stressed heterogeneous fibre-reinforced layer with corrugated boundary surfaces, lying over a viscoelastic half-space under hydrostatic state of stress. The dispersion relation is obtained in closed form and found to be in wellagreement with the classical Love wave equation. The substantial effect of reinforcement, position and undulation parameters (i.e. corrugation), heterogeneity, horizontal initial stress and hydrostatic state of stress are discussed briefly. It is established through comparative study that reinforced layer supports more to phase velocity of Love-type wave as compare to reinforced free layer.

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The dispersion of shear wave in multilayered magnetoelastic self-reinforced media

Cited by 45 publications

References 23 publications

SH-wave in a multilayered orthotropic crust under initial stress: A finite difference approach

SH-wave in a multilayered orthotropic crust under initial stress: A finite difference approach

Reflection and transmission of plane SH-waves in an initially stressed inhomogeneous anisotropic magnetoelastic medium

Propagation of Love-Type Wave in a Corrugated Fibre-Reinforced Layer

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