Stoneley and Rayleigh waves in thermoelastic materials with voids

Singh, S. S.; Tochhawng, Lalawmpuia

doi:10.1177/1077546319847850

Cited by 21 publications

(6 citation statements)

References 35 publications

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“…For validation, we calculate the non-dimensional wave speed c * of the Rayleigh wave without nonlocal parameter which is same as the one analyzed in reference Singh and Tochhawng. 38 The comparison results are shown in Figures 14 to 17 which shows our results agree well with the previous results.…”

Section: Numerical Results and Discussionsupporting

confidence: 87%

Effect of magnetic field and voids on Rayleigh waves in a nonlocal thermoelastic half-space

Abd-Alla

Abo‐Dahab

Ahmed

et al. 2021

The Journal of Strain Analysis for Engineering Design

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This work is concerned with the propagation of surface waves is considered in an isotropic elastic homogeneous nonlocal generalized thermoelastic solid medium in the presence of a magnetic field and voids. The normal mode analysis and Lame’s potential theory are used to solve the resulting non-dimensional coupled equations. Dispersion relation for Rayleigh surface wave are derived for both thermally insulated and isothermal surfaces. The non-dimensional wave speed of Rayleigh surface wave is computed for a specific material. The non-dimensional wave speed of Rayleigh surface waves are found to be influenced by the presence of voids, magnetic field, thermal field, and elastic nonlocal parameter. For a particular model, the effect of magnetic field, void parameters, thermal parameter, and nonlocality has been studied numerically on the Rayleigh surface waves. All the computed results obtained have been depicted graphically and explained.

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Section: Numerical Results and Discussionsupporting

confidence: 87%

Effect of magnetic field and voids on Rayleigh waves in a nonlocal thermoelastic half-space

Abd-Alla

Abo‐Dahab

Ahmed

et al. 2021

The Journal of Strain Analysis for Engineering Design

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“…Lalawmpuia and Singh (2020) investigated the problem of the effect of initial stresses on the elastic waves in transversely isotropic thermoelastic materials. There are many interesting problems of waves and vibrations in open literatures as Achenbach (1976), Singh (2003), Singh and Tomar (2007b), , , Zorammuana and Singh (2015), Lianngenga and Singh (2019), Singh and Lalawmpuia (2019), Goyal et al (2020) and Lalvohbika and Singh (2020).…”

Section: Introductionmentioning

confidence: 99%

A mathematical model of shear wave propagation in the incompressible transversely isotropic thermoelastic half-spaces

Lalawmpuia¹,

Singh²,

Zorammuana³

2022

Int. J. Eng. Sci. Tech

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This article deals with the problem of reflection and transmission of shear waves at a plane interface between two dissimilar incompressible transversely isotropic thermoelastic half-spaces. Two coupled quasi-shear waves are found to propagate due to the incompressibility of such materials. Applying appropriate boundary conditions at the plane interface, amplitude ratios of the reflected and transmitted quasi-shear waves are obtained. It has been observed that these ratios are functions of the angle of incidence, elastic and thermal parameters of the materials. These ratios are computed numerically for a particular model to see the effects of specific heat and thermal expansion on quasi-shear waves in incompressible transversely isotropic thermoelastic materials. The results are also presented graphically.

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“…Goyal et al [12] studied Rayleightype surface waves in a swelling porous half-space. Surface waves (Stoneley and Rayleigh) in thermoelastic materials with voids were studied by Singh and Tochhawng [13] and for the Stoneley waves, frequency equation is derived at the bonded and unbonded interfaces. Recently, a surface wave in a porous thermoelastic medium with two relaxation times was studied by Pramanik and Biswas [14].…”

Section: Introductionmentioning

confidence: 99%

Waves in thermoelastic solid half‐space containing voids with liquid loadings

Pathania

Joshi

2021

Z Angew Math Mech

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The influence of the voids in the propagation of time‐harmonic plane waves in a semi‐infinite homogeneous isotropic thermoelastic medium in contact with inviscid liquid half‐space has been explored under the Lord‐Shulman theory of thermoelasticity. The incompressible and non‐viscous liquid is taken in the upper half‐space and the effect of gravity on the whole system is assumed to be negligible. The mathematical model is developed and the exact expressions for the considered variables are obtained by using the normal mode analysis method. The compact secular equation for the considered model is derived for thermally insulated and isothermal cases respectively. There exist four waves in the generalized thermoelastic porous solid half‐space and one wave exists in the liquid half‐space. In the solid half‐space, one is a transverse wave and the remaining three is the set of coupled dilatational waves. The coupling among these waves is because of the presence of voids and thermal effects, also the amplitude of oscillation of these waves decreases with time. The transverse wave in the solid half‐space is undamped in time and remains independent of the effects of voids and heat. The particle's motion is deduced for Rayleigh wave propagation and found to be elliptical in solid half‐space and circular in liquid half‐space. Also, the plane of particle motion is tilted due to the presence of void parameters in the medium. Magnesium crystal has been chosen for the numerical computation and the discussion of various graphs depicting the profiles are presented in the last section.

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Stoneley and Rayleigh waves in thermoelastic materials with voids

Cited by 21 publications

References 35 publications

Effect of magnetic field and voids on Rayleigh waves in a nonlocal thermoelastic half-space

Effect of magnetic field and voids on Rayleigh waves in a nonlocal thermoelastic half-space

A mathematical model of shear wave propagation in the incompressible transversely isotropic thermoelastic half-spaces

Waves in thermoelastic solid half‐space containing voids with liquid loadings

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