Rayleigh waves in magneto-thermoelastic solids with thermal relaxation

Tomita, Shun’ichi; Shindo, Yasuhide

doi:10.1016/0020-7225(79)90067-3

Cited by 21 publications

(5 citation statements)

References 4 publications

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“…Interplay of electromagnetic field with the motion of a deformable solid has its importance owing to its theoretical and practical relevance in various branches of science and technology. Different aspects of waves in magneto-elasticity were investigated by several authors including Knopoff (1955), Dunkin & Eringen (1963), Yu & Tang (1966), Tomita & Shindo (1979). A survey of linear and nonlinear wave motion in a perfectly magnetoelastic medium has been made by Bazer (1984).…”

Section: Introductionmentioning

confidence: 98%

Effect of surface stress and irregularity of the interface on the propagation of SH-waves in the magneto-elastic crustal layer based on a solid semi space

Acharya¹,

Roy²

2009

Sadhana

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The object of the present paper is to investigate plane SH waves through a magneto-elastic crustal layer based over an elastic, solid semi space under the influence of surface stress on the free surface of the crustal layer and irregularity of the interface. Two types of irregularities of the interface namely, rectangular and parabolic have been considered. Modulations of wave velocity due to the presence of surface stress, irregularity and the magnetic field have been studied separately. Their combined effect has also been investigated. Graphs are drawn to highlight some important peculiarities. It is observed that surface stress, irregularity and magnetic field have their respective role to play in the propagation of SH waves in the crustal layer. Further modulation of wave velocity occurs due to their combined effect.

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Section: Introductionmentioning

confidence: 98%

Effect of surface stress and irregularity of the interface on the propagation of SH-waves in the magneto-elastic crustal layer based on a solid semi space

Acharya¹,

Roy²

2009

Sadhana

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“…Propagation of shear waves in a self-reinforced medium has been studied so far by many authors. Different aspects of waves in magnetoelasticity were investigated by several authors including Knopoff [3], Dunkin and Eringen [4], Yu and Tang [5], Tomita and Shindo [6]. Verma [7] studied the propagation of magnetoelastic shear waves in self-reinforced bodies.…”

Section: Introductionmentioning

confidence: 99%

Propagation of magnetoelastic shear waves in an irregular self-reinforced layer

Chattopadhyay

Singh

2012

J Eng Math

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The propagation of horizontally polarised shear waves in an internal irregular magnetoelastic self-reinforced stratum which is sandwiched between two semi-infinite magnetoelastic self-reinforced media is studied. Two shapes of irregularities on the interface of layer and lower semi-infinite media are considered, namely rectangular and parabolic. The dispersion equation is obtained in closed form. The combined effects of reinforcement, magnetic field and irregularity are also studied. Some important features of the results are highlighted. It is also observed that the dispersion equation is in agreement with the classical Love-type wave equation for an isotropic layer sandwiched between two isotropic half-spaces in the absence of reinforcement, magnetic field and irregularity.

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“…Yu and Tang (1966) studied the propagation of elastic waves in an infinite extent of an initially stressed conducting solid in which a magnetic field is applied. Tomita and Shindo (1979) pointed out a linear theory of magneto-thermo-elasticity with thermal relaxation, the propagation of Rayleigh waves in a semi-infinite body permeated by a uniform magnetostatic field parallel to the boundary surface. Chattopadhyay and Choudhury (1995) examined the propagation of magnetoelastic shear waves in an infinite self-reinforced plate.…”

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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Rayleigh waves in magneto-thermoelastic solids with thermal relaxation

Cited by 21 publications

References 4 publications

Effect of surface stress and irregularity of the interface on the propagation of SH-waves in the magneto-elastic crustal layer based on a solid semi space

Effect of surface stress and irregularity of the interface on the propagation of SH-waves in the magneto-elastic crustal layer based on a solid semi space

Propagation of magnetoelastic shear waves in an irregular self-reinforced layer

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

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