Journal ArticleDOI
Plane waves in nonlocal thermoelastic solid with voids
Nantu Sarkar,Sushil K. Tomar +1 more
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In this paper, the propagation of time harmonic plane waves in an infinite nonlocal thermoelastic solid having void pores was studied, and the effects of frequency, void parameters, thermal parameter and nonlocality have been studied numerically on the phase speeds, attenuation coefficients and specific losses of all the propagating waves.Abstract:
This work is concerned with the propagation of time harmonic plane waves in an infinite nonlocal thermoelastic solid having void pores. Three sets of coupled dilatational waves and an independent transverse wave may travel with distinct speeds in the medium. All these waves are found to be dispersive in nature, but the coupled dilatational waves are attenuating, while transverse wave is nonattenuating. Coupled dilatational waves are found to be influenced by the presence of voids, thermal field and elastic nonlocal parameter. While the transverse wave is found to be influenced by the nonlocal parameter, but independent of void and thermal parameters. For a particular model, the effects of frequency, void parameters, thermal parameter and nonlocality have been studied numerically on the phase speeds, attenuation coefficients and specific losses of all the propagating waves. All the computed results obtained have been depicted graphically and explained.read more
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Thermoelastic Models Of Continua
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Waves in dual-phase-lag thermoelastic materials with voids based on Eringen’s nonlocal elasticity
TL;DR: The main idea of as mentioned in this paper is to extend Eringen's theory of nonlocal elasticity to generalized thermoelasticity with dual-phase-lag and voids.
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Free vibration analysis of a nonlocal thermoelastic hollow cylinder with diffusion
TL;DR: In this article, the constitutive relations and the governing equations for nonlocal thermoelastic solid in the presence of diffusion are derived for the free vibration of a thermo-elastic diffusive cloud.
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Reflection of plane waves from the stress-free isothermal and insulated boundaries of a nonlocal thermoelastic solid
TL;DR: In this paper, the generalized thermoelasticity theory based upon the Green and Naghdi model II of thermo-lasticity as well as the Eringen's non-local elasticity model is used to study the propagation of harmonic plane waves in a nonlocal thermelastic medium.
Journal ArticleDOI
Waves in nonlocal thermoelastic solids of type II
TL;DR: In this article, the authors investigated the propagation of thermoelastic plane harmonic waves in a non-local thermo-elastic medium using the Green and Naghdi theory.
References
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Journal ArticleDOI
Propagation of Rayleigh surface waves with small wavelengths in nonlocal visco-elastic solids
D. P. Acharya,Asit Kumar Mondal +1 more
TL;DR: In this paper, the authors investigated Rayleigh waves propagating on the surface of a visco-elastic solid under the linear theory of nonlocal elasticity and obtained dispersion relations.
Journal ArticleDOI
Elastic wave propagation through a material with voids
TL;DR: In this article, an exact mathematical analogy exists between plane wave propagation through a material with voids and axial wave propagation along a circular cylindrical rod with radial shear and inertia.
Journal ArticleDOI
Weakly nonlocal heat conduction in rigid solids
Georgy Lebon,Miroslav Grmela +1 more
TL;DR: In this paper, a nonlocal heal conduction model based on nonequilibrium thermodynamics is proposed, which is achieved by introducing a supplementary stale variable, besides the internal energy.
Journal ArticleDOI
Non-local effects in radial heat transport in silicon thin layers and graphene sheets
TL;DR: In this article, non-local effects in radially symmetric heat transport in silicon thin layers and in graphene sheets are explored. And a hump in the temperature profile is predicted for radial distances shorter than the mean-free path of heat carriers.