Surface Wave Propagation in a Generalized Thermoelastic Material with Voids

Singh, Baljeet; Pal, R. P.

doi:10.4236/am.2011.25068

Cited by 15 publications

(6 citation statements)

References 21 publications

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“…The results obtained are deduced to the results obtained by Singh and Pal (2011) in the absence of magnetic field.…”

Section: Stoneley Waves Velocity Increases With An Increase Insupporting

confidence: 66%

“…If the magnetic field is neglected, the results obtained are deduced to the relevant results obtained by Singh and Pal (2011).…”

Section: Boundary Conditionsmentioning

confidence: 73%

“…Recently, Abo-Dahab (2010) investigated the propagation of P waves from a stress-free surface elastic half-space with voids under thermal relaxation and magnetic field. Singh and Pal (2011) discussed surface waves propagation in a generalized thermoelastic material with voids. This paper is motivated by the linear theory of thermoelasticity with voids developed by Iesan (1986).…”

Section: Introductionmentioning

confidence: 99%

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Propagation of Stoneley waves in magneto-thermoelastic materials with voids and two relaxation times

Abo‐Dahab

2013

Journal of Vibration and Control

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In this paper, an estimation is made to study the propagation of Stoneley waves in magneto-thermoelastic materials with voids and two thermal relaxation times in the context of a Green–Lindsay model. The basic governing equations have been formulated in the xz-plane and the magnetic field is considered in the y-axis, which acts perpendicular to the wave propagation. We applied Lame’s potentials method to solve the problem. The boundary conditions that the continuity of forces stresses, Maxwell’s stresses components, displacement components, heat flux, temperature and volume fraction field are illustrated at the interfaces between two dissimilar half-spaces to obtain the frequency equation of the Stoneley waves in the media. Some special cases neglecting: (i) the magnetic field, and (ii) the thermal relaxation times’ parameters are deduced as special cases from this study and the numerical results are displayed graphically.

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“…The results obtained are deduced to the results obtained by Singh and Pal (2011) in the absence of magnetic field.…”

Section: Stoneley Waves Velocity Increases With An Increase Insupporting

confidence: 66%

“…If the magnetic field is neglected, the results obtained are deduced to the relevant results obtained by Singh and Pal (2011).…”

Section: Boundary Conditionsmentioning

confidence: 73%

Section: Introductionmentioning

confidence: 99%

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Propagation of Stoneley waves in magneto-thermoelastic materials with voids and two relaxation times

Abo‐Dahab

2013

Journal of Vibration and Control

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“…However, the effects of thermal field were ignored in his report. Effects of rotation [10], viscoelasticity [11], piezoelectric [12], thermoelasticity [13], and magneto-thermoelasticity [14] on the propagation of Rayleigh wave in half space have been presented by various researchers.…”

Section: Introductionmentioning

confidence: 99%

Generalized thermoelastic band structures of Rayleigh wave in one-dimensional phononic crystals

Yang

et al. 2017

Meccanica

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We investigate generalized band structures of Rayleigh wave in 1-D phononic crystals in the context of Green-Nagdhi thermoelastic (TE) theory. Solutions of the coupled equations included thermal field are obtained firstly. Then according to boundary conditions, phase velocity is derived. The transfer matrix methodology is adopted in order to formulate the band structures of generalized TE Rayleigh wave. It is demonstrated that the band structure of TE Rayleigh wave is comprised of elastic and thermal bands. For Aluminum/Epoxy phononic crystal, the thermoelasticity can influence the transmission ability of band gaps as well as narrow down the band gap width.

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“…Theory of thermoelastic material with voids is investigated by Lesan (1986). Good amount of literature on surface wave propagation in a generalized thermoelastic material with voids, is available in Singh and Pal (2011) and references therein. Chandrasekharaiah (1987a, b) discussed the effects of voids on propagation of plane and surface waves.…”

Section: Introductionmentioning

confidence: 99%

Gravitational effect on surface waves in a homogeneous fibre-reinforced anisotropic general viscoelastic media of higher and fractional order with voids

Khan¹,

Abo‐Dahab²,

Abd-Alla³

2015

Int. J. Phys. Sci.

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In this paper, gravitational effects on propagation of surface waves in a homogeneous fibrereinforced anisotropic general viscoelastic media of higher order with voids is investigated. The general surface wave speed is derived to study the effects of gravity on surface waves. Particular cases for Stoneley and Rayleigh waves are discussed. The results obtained in this investigation are more general in the sense that some earlier published results are obtained from our result as special cases. In the absence of voids our results for viscoelastic of order zero are well agreement to fibre-reinforced materials. Also by neglecting the reinforced elastic parameters, the results reduce to well known isotropic medium. Numerical results for particular materials are given and illustrated graphically. The results indicate that the effect of the gravitational, voids and the reinforced elastic parameters on surface waves are very pronounced.

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Surface Wave Propagation in a Generalized Thermoelastic Material with Voids

Cited by 15 publications

References 21 publications

Propagation of Stoneley waves in magneto-thermoelastic materials with voids and two relaxation times

Propagation of Stoneley waves in magneto-thermoelastic materials with voids and two relaxation times

Generalized thermoelastic band structures of Rayleigh wave in one-dimensional phononic crystals

Gravitational effect on surface waves in a homogeneous fibre-reinforced anisotropic general viscoelastic media of higher and fractional order with voids

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