Electro-magneto-thermo-elastic plane waves in rotating media with thermal relaxation

Choudhuri, S. K. Roy

doi:10.1016/0020-7225(84)90054-5

Cited by 77 publications

(31 citation statements)

References 5 publications

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“…The results (5.10) and (5.11) are similar to (5.4) and (5.6) reported by Choudhuri and Debnath [12]. The results (5.10) and (5.11) correspond to the phase speed and attenuation factor of the coupled magneto-thermoelastic wave in a rotating medium in thermoelasticity of type II (GN model), not considered so far.…”

Section: Magneto-viscoelastic Plane Waves In Rotating Mediasupporting

confidence: 87%

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Magneto‐viscoelastic plane waves in rotating media in thegeneralized thermoelasticity II

Choudhuri

Banerjee

2005

International Journal of Mathematics and Mathematical Sciences

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A study is made of the propagation of time-harmonic magneto-thermoviscoelastic plane waves in a homogeneous electrically conducting viscoelastic medium of Kelvin-Voigt type permeated by a primary uniform external magnetic field when the entire medium rotates with a uniform angular velocity. The generalized thermoelasticity theory of type II (Green and Naghdi model) is used to study the propagation of waves. A more general dispersion equation for coupled waves is derived to ascertain the effects of rotation, finite thermal wave speed of GN theory, viscoelastic parameters and the external magnetic field on the phase velocity, the attenuation coefficient, and the specific energy loss of the waves. Limiting cases for low and high frequencies are also studied. In absence of rotation, external magnetic field, and viscoelasticity, the general dispersion equation reduces to the dispersion equation for coupled thermal dilatational waves in generalized thermoelasticity II (GN model), not considered before. It reveals that the coupled thermal dilatational waves in generalized thermoelasticity II are unattenuated and nondispersive in contrast to the thermoelastic waves in classical coupled thermoelasticity (Chadwick (1960)) which suffer both attenuation and dispersion.

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Section: Magneto-viscoelastic Plane Waves In Rotating Mediasupporting

confidence: 87%

“…This corresponds to only one slow wave influenced by the electromagnetic field. This fact was not noticed in the works by Choudhuri and Debnath [12], which reveals two kinds of slow waves. Then the phase velocity can be found from the result…”

Section: Low-frequency Region (χ 1)mentioning

confidence: 79%

Magneto‐viscoelastic plane waves in rotating media in thegeneralized thermoelasticity II

Choudhuri

Banerjee

2005

International Journal of Mathematics and Mathematical Sciences

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“…Problems concerning generalized thermoelasticity theories and G-N theory have been studied by many authors [RoyChoudhuri and Debnath 1983;RoyChoudhuri 1984;1985;1987;Dhaliwal and Rokne 1988;RoyChoudhuri 1990;Chandrasekharaiah and Murthy 1993;Chandrasekhariah and Srinath 1996;RoyChoudhuri and Banerjee 2004;RoyChoudhuri and Bandyopadhyay 2005;RoyChoudhuri and Dutta 2005;. Tzou [1995a;1995b] and Ozisik and Tzou [1994] have developed a new model called dual phase-lag model for heat transport mechanism in which Fourier's law is replaced by an approximation to a modification of Fourier's law with two different time translations for the heat flux and the temperature gradient.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional thermoelastic waves in elastic half-space with dual phase-lag effects

Roychoudhuri

2007

JOMMS

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The theory of thermoelasticity with dual phase-lag effects is employed to study the problem of onedimensional disturbances in an elastic half-space with its plane boundary subjected to (i) a constant step input of temperature and zero stress, and (ii) a constant step input of stress and zero temperature. The Laplace transform method is used to solve the problem. Expressions for displacement, temperature and stress fields are obtained for small values of time. It is found that the solutions consist of two coupled waves both of which propagate with finite speeds and attenuation, influenced by the two delay times and thermoelastic coupling constant. The discontinuities that occur at the wave fronts are obtained. The characteristic features of the underlying theory are analyzed by comparing the results of the present analysis with their counterparts in coupled thermoelasticity theory (CTE) and in other generalized thermoelasticity theories ETE, TRDTE and TEWOED.

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“…Some of the works related to this field are Abd-Alla and Al-Dawy [1,2], Ezzat and Othman [10], Ezzat [9], Ezzat et al [11], Wang et al [25], Othman and Song [22], Othman [19], Othman and Said [23]. A number of discussions relating wave propagation in rotating isotropic or anisotropic media were reported in literature, some of which are the works of RoyChoudhuri [7], Gupta and Gupta [14], Singh [24], Maity et al [16,17]. Roychoudhuri and Banerjee [8] studied the propagation of time-harmonic coupled electromagnetoelastic dilatational thermal shear waves using the thermoelasticity theory of type II (G-N model) [13].…”

Section: Introductionmentioning

confidence: 99%

Propagation of plane waves in a rotating magneto-thermoelastic fiber-reinforced medium under G-N theory

Maity

Sakti²,

Chaudhuri

2017

ACM

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The article is concerned with the possibility of plane wave propagation in a rotating elastic medium under the action of magnetic and thermal fields. The material is assumed to be fibre-reinforced with increased stiffness, strength and load bearing capacity. Green and Nagdhi's concepts of generalized thermoelastic models II and III have been followed in the governing equations expressed in tensor notation. The effects of various parameters of the applied fields on the plane wave velocity have been shown graphically.

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Electro-magneto-thermo-elastic plane waves in rotating media with thermal relaxation

Cited by 77 publications

References 5 publications

Magneto‐viscoelastic plane waves in rotating media in thegeneralized thermoelasticity II

Magneto‐viscoelastic plane waves in rotating media in thegeneralized thermoelasticity II

One-dimensional thermoelastic waves in elastic half-space with dual phase-lag effects

Propagation of plane waves in a rotating magneto-thermoelastic fiber-reinforced medium under G-N theory

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