Effect of rotation and relaxation times on plane waves in generalized thermo-visco-elasticity
TLDR
In this article, the generalized dynamical theory of thermo-elasticity proposed by Green and Lindsay is applied to study the propagation of harmonically time-dependent thermovisco- elastic plane waves of assigned frequency in an infinite viscoelastic solid of Kelvin-Voigt type.Abstract:
The generalized dynamical theory of thermo-elasticity proposed by Green and Lindsay is applied to study the propagation of harmonically time-dependent thermo-visco- elastic plane waves of assigned frequency in an infinite visco-elastic solid of Kelvin-Voigt type, when the entire medium rotates with a uniform angular velocity A more general dispersion equation is deduced to determine the effects of rotation, visco-elasticity, and relaxation time on the phase-velocity of the coupled waves The solutions for the phase velocity and attenuation coefficient are obtained for small thermo-elastic couplings by the perturbation technique Taking an appropriate material, the numerical values of the phase velocity of the waves are computed and the results are shown graphically to illustrate theread more
Citations
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Journal ArticleDOI
On A Thermoelastic Three-Phase-Lag Model
TL;DR: In this paper, a three-phase-lag model of the linearized theory of coupled thermoelasticity is formulated by considering the heat condition law that includes temperature gradient and the thermal displacement gradient among the constitutive variables.
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Thermo-elastic interaction without energy dissipation in an infinite solid with distributed periodically varying heat sources
S.K. Roychoudhuri,Partha Dutta +1 more
TL;DR: In this paper, closed form solutions for displacement, temperature, stress and strain are derived by using Laplace transform on time and then Fourier transform on space, respectively, in the context of the theory of thermo-elasticity without energy dissipation.
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On the reflection of the generalized magneto-thermo-viscoelastic plane waves
TL;DR: In this paper, the reflection of generalized magneto-thermo-viscoelastic waves at the boundary of a semi-infinite solid is investigated, where the free surface of the solid is considered to be adjacent to vacuum.
Journal ArticleDOI
Effect of rotation on generalized thermo-viscoelastic Rayleigh-Lamb waves
TL;DR: In this article, the effects of rotation on the thermoelastic interaction in an infinite Kelvin-Voigt-type viscoelastic, thermally conducting plate rotating about the normal to its faces with uniform angular velocity were studied.
Journal ArticleDOI
Generalized thermoviscoelastic interaction due to periodically varying heat source with three-phase-lag effect
TL;DR: In this paper, a three-phase-lag model, GN model II (TEWOED) and GN model III(TEWED) are employed to study the thermomechanical coupling, thermal and mechanical relaxation effects.
References
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Journal ArticleDOI
A generalized dynamical theory of thermoelasticity
TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
Journal ArticleDOI
Elastic waves in rotating media
Michael Schoenberg,Dan Censor +1 more
TL;DR: Schneider et al. as discussed by the authors considered the problem of plane wave propagation in an isotropic medium, where the medium is rotating with a uniform angular velocity, and they derived the energy flux and the slowness surface of the wave.
Journal ArticleDOI
Thermoelastic waves in solids with thermal relaxation
A. Nayfeh,Sia Nemat-Nasser +1 more
TL;DR: In this article, the modified heat conduction equation is used to study plane harmonic waves in unbounded media as well as Rayleigh's surface waves propagating along a half-space consisting of linearly elastic materials that conduct heat.
Journal ArticleDOI
Electromagneto-Thermoelastic Plane Waves in Solids With Thermal Relaxation
Adnan H. Nayfeh,Sia Nemat-Nasser +1 more
Journal ArticleDOI
Plane waves in an elastic solid conducting heat
P. Chadwick,I.N. Snedon +1 more
TL;DR: In this article, the propagation of waves in an isotropic thermoelastic solid is studied and it is shown that two distinct dilatational waves exist, one being similar in nature to a purely elastic Iongitudinal wave, but dispersed and attenuated by the medium, and the other similar to purely thermal wave.