Thermo-elastic interaction without energy dissipation in an infinite solid with distributed periodically varying heat sources

Roychoudhuri, S. K.; Dutta, Partha Sharathi

doi:10.1016/j.ijsolstr.2004.12.013

Cited by 69 publications

(49 citation statements)

References 17 publications

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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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Section: Introductionmentioning

confidence: 99%

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

Roychoudhuri

2007

JOMMS

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“…[3,21,54]. For a weak conductivity 0 < α = 0.5 < 1 [55], we notice that the particles transport the heat to the other particles easily and this makes the decreasing rate of the temperature greater than the other one.…”

Section: Numerical Results and Discussionmentioning

confidence: 88%

“…For computational purpose, copper like material has been taken into consideration. The values of the material constants are taken as Roy Choudhuri and Dutta [54]: …”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Fractional order theory in thermoelastic solid with three-phase lag heat transfer

2011

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In this work, the field equations of the linear theory of thermoelasticity have been constructed in the context of a new consideration of Fourier law of heat conduction with time-fractional order and three-phase lag. A uniqueness and reciprocity theorems are proved. One-dimensional application for a half-space of elastic material in the presence of heat sources has been solved using Laplace transform and state space techniques Ezzat (Canad J Phys Rev 86:1241-1250, 2008. According to the numerical results and its graphs, conclusion about the new theory has been established.Keywords Thermoelasticity · Modified Fourier law · Three-phase lag · Modified Riemann-Liouville fractional derivative · New fractional Taylor's series · State space approach · Fractional calculus Nomenclature λ, μ Lame's constants ρ density C E specific heat at constant strainstrength of the heat source F i mass force q i components of heat flux σ i j components of stress tensor

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“…The numerical code has been prepared using Fortran 77 programming language. For computational purpose, a copper-like material with a material constant [41] has been taken into consideration, T = 0.0168, λ = 1.387 × 10 11 Nm −2 , μ = 0.448 × 10 11 Nm −2 , α t = 16.7 × 10 −6 K −1 , c 1 = 1 m s −1 .…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Magneto-thermo-elastic response in a perfectly conducting medium with three-phase-lag effect

Das

Kanoria

2011

Acta Mech

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This paper deals with the problem of magneto-thermo-elastic interactions in an unbounded, perfectly conducting elastic medium due to the presence of periodically varying heat sources in the context of linear theory of generalized thermo-elasticity with energy dissipation (TEWED or GN-III model), without energy dissipation (TEWOED or GN-II model) and three-phase-lag model (3P model). The governing equations of generalized thermo-elasticity of the above models under the influence of a magnetic field are established. The Laplace-Fourier double transform technique has been used to get the solution. The inversion of the Fourier transform has been done by using residual calculus, where poles of the integrand are obtained numerically in a complex domain by using Laguerre's method, and the inversion of the Laplace transformation is done numerically using a method based on Fourier series expansion technique. Displacement, temperature, stress and strain distributions have been computed numerically and presented graphically in numbers of figures. A comparison of the results for different theories (GN-II, GN-III and 3P model) and the effect of magnetic field and damping coefficient on the physical quantities has been discussed. List of symbols uDisplacement vector λ, μ Lamé's constants ρ Constant mass density of the medium γ Thermal modulus α t Coefficient of linear thermal expansion T 0 Uniform reference temperature T Small temperature increase above the reference temperature T 0 J Electric current density vector BMagnetic induction vector c v

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Thermo-elastic interaction without energy dissipation in an infinite solid with distributed periodically varying heat sources

Cited by 69 publications

References 17 publications

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

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

Fractional order theory in thermoelastic solid with three-phase lag heat transfer

Magneto-thermo-elastic response in a perfectly conducting medium with three-phase-lag effect

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