Rayleigh-Type Surface Waves in a Swelling Porous Half-Space

Goyal, Suraj; Singh, Dilbag; Tomar, S. K.

doi:10.1007/s11242-016-0681-3

Cited by 13 publications

(5 citation statements)

References 30 publications

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“…Bucur et al (2014), Bucur (2016) and Bhagwan et al (2015) explored several vital issues relating to the propagation of Rayleigh waves in classical thermoelasticity with voids. Afterwards, many researchers (Roy et al , 2015; Goyal et al , 2016; Khurana and Tomar, 2017; Kaur et al , 2018; Chandulal and Somaiah, 2020; Kaur and Sing, 2021) have investigated the propagation characteristics of Rayleigh waves at the plane surface of different media. They have focused on the graphic representation of the relationship between nondimensional wave speed and thermoelastic material characteristics (such as nonlocality, frequency, thermal and voids parameters).…”

Section: Introductionmentioning

confidence: 99%

Rayleigh waves in nonlocal generalized thermoelastic media

Kumar¹,

Kaswan²,

Sarkar

et al. 2023

HFF

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Purpose The purpose of this article is to investigate the propagation characteristics (such as particle motion, attenuation and phase velocity) of a Rayleigh wave in a nonlocal generalized thermoelastic media. Design/methodology/approach The bulk waves are represented with Helmholtz potentials. The stress-free insulated and isothermal plane surfaces are taken into account. Rayleigh wave dispersion relation has been established and is found to be complex. Due to the presence of radicals, the dispersion equation is continuously computed as a complicated irrational expression. The dispersion equation is then converted into a polynomial equation that can be solved numerically for precise complex roots. The extra zeros in this polynomial equation are eliminated to yield the dispersion equation’s roots. These routes are then filtered for inhomogeneous wave propagation that decays with depth. To perform numerical computations, MATLAB software is used. Findings In this medium, only one mode of Rayleigh wave exists at both isothermal and insulated boundaries. The thermal factors of nonlocal generalized thermoelastic materials significantly influence the particle motion, attenuation and phase velocity of the Rayleigh wave. Originality/value Numerical examples are taken to examine how the thermal characteristics of materials affect the existing Rayleigh wave’s propagation characteristics. Graphical analysis is used to evaluate the behavior of particle motion (such as elliptical) both inside and at the isothermal (or insulated) flat surface of the medium under consideration.

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Section: Introductionmentioning

confidence: 99%

Rayleigh waves in nonlocal generalized thermoelastic media

Kumar¹,

Kaswan²,

Sarkar

et al. 2023

HFF

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“…(2013), Abo-Dahab (2014), Bucur et al. (2014), Onen and Uz (2015), Goyal et al. (2016), Othman and Hilal (2016), Farhan and Abd-Alla (2018), and Kumar et al.…”

Section: Introductionmentioning

confidence: 99%

Stoneley and Rayleigh waves in thermoelastic materials with voids

Singh

Tochhawng

2019

Journal of Vibration and Control

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The present paper deals with the propagation of surface waves (Stoneley and Rayleigh waves) in thermoelastic materials with voids. The frequency equations of the Stoneley waves at the bonded and unbonded interfaces between two dissimilar half-spaces of thermoelastic materials with voids are obtained. The numerical values of the determinant for bonded and unbonded interface are calculated for a particular model. We also derived the frequency equation of the Rayleigh wave in thermoelastic materials with voids. The phase velocity and attenuation coefficients have shown that there are two modes of vibration. These two modes are computed and they are depicted graphically. The effect of thermal parameters in these surface waves is discussed.

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“…Rayleigh-type surface waves were also explored in the thermoelastic medium from earlier notable works by Lockett (1958), Nayfeh and Nemat-Nasser (1971), Agarwal (1978), Jurczyk and Klemens (1985) and Ivanov (1988) to some recent impressive works by Abouelregal (2011), Chirita (2013, Hussien and Bayones (2019) and Singh (2021). Rayleigh wave characteristics were also derived in thermally conducting porous media by Gales (2004), Chirita and Danescu (2015), Goyal et al (2016), Bucur (2016), Passarella and Tibullo (2016), Singh (2017), Zhou et al (2019) and Kumar et al (2021). The present study is motivated with the Eringen (2003) theory of micropolar mixture of porous media.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh-type surface waves in a thermally conducting mixture of an elastic solid and a Newtonian fluid

Singla

Singh²

2022

MMMS

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PurposeThe purpose of this paper is to analyze the propagation characteristics of the Rayleigh-type surface wave in a thermally conducting mixture of an elastic solid and a Newtonian fluid by applying the mixture theory.Design/methodology/approachThe governing equations are formulated in context of both Green–Lindsay (G-L) and Lord–Shulman (L-S) theories of generalized thermoelasticity. The specialized governing equations in a plane are solved by using the traditional approach, and a dispersion equation of the Rayleigh surface wave is obtained.FindingsA program in MATLAB software is developed to solve the dispersion equation. The numerical results demonstrate a significant dependence of the wave speed and the attenuation coefficient of the Rayleigh wave on the frequency and porosity.Originality/valueThe problem considered on Rayleigh wave on the surface of a half-space containing a thermally conducting mixture is not studied in the literature yet. The theoretical and numerical findings of the study will guide the experimental scientists while finding applications in various engineering fields.

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Rayleigh-Type Surface Waves in a Swelling Porous Half-Space

Cited by 13 publications

References 30 publications

Rayleigh waves in nonlocal generalized thermoelastic media

Rayleigh waves in nonlocal generalized thermoelastic media

Stoneley and Rayleigh waves in thermoelastic materials with voids

Rayleigh-type surface waves in a thermally conducting mixture of an elastic solid and a Newtonian fluid

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