Journal ArticleDOI
Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer
Mitali Bachher,Nantu Sarkar +1 more
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In this paper, a nonlocal theory of generalized thermoelastic materials with voids based on Eringen's nonlocal elasticity and Caputo fractional derivative is established.Abstract:
A new nonlocal theory of generalized thermoelastic materials with voids based on Eringen’s nonlocal elasticity and Caputo fractional derivative is established. The one-dimensional form of the above...read more
Citations
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Plane waves in nonlocal thermoelastic solid with voids
Nantu Sarkar,Sushil K. Tomar +1 more
TL;DR: 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.
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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.
Journal ArticleDOI
Transient response in a thermoelastic half-space solid due to a laser pulse under three theories with memory-dependent derivative
TL;DR: In this paper, a novel mathematical model of generalized thermoelasticity was proposed to investigate the transient phenomena due to the influence of a non-Gaussian pulsed laser type heat source in a stress free isothermal half-space in the context of Lord-Shulman (LS), dual-phase lag (DPL), and three phase lag (TPL) theories simultaneously.
Journal ArticleDOI
Computational analysis of an infinite magneto-thermoelastic solid periodically dispersed with varying heat flow based on non-local Moore–Gibson–Thompson approach
Ahmed E. Abouelregal,Hamid Mohammad-Sedighi,Ali Heidari Shirazi,Mohammad Malikan,Victor A. Eremeyev,Victor A. Eremeyev +5 more
TL;DR: In this article, a computational analysis is conducted to study a magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium, where the medium is subjected to a periodic heat flow in the presence of a continuous longitude magnetic field.
References
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Journal ArticleDOI
Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer
TL;DR: In this article, a new model of the magneto-thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with fractional derivative.
Journal ArticleDOI
On the time decay of solutions in one-dimensional theories of porous materials
Antonio Magaña,Ramón Quintanilla +1 more
TL;DR: In this article, the authors investigated the temporal asymptotic behavior of the solutions of the one-dimensional porous-elasticity problem when several damping effects are present.
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Exponential decay in one-dimensional porous-thermo-elasticity
Pablo S. Casas,Ramón Quintanilla +1 more
TL;DR: In this paper, the authors considered two kinds of dissipation process: the viscosity type in the porous structure and the thermal dissipation, and they proved that when both kinds of terms are taken into account in the evolution equations the solutions are exponentially stable.
Journal ArticleDOI
Size-dependent generalized thermoelasticity using Eringen's nonlocal model
TL;DR: In this article, the memory dependence of heat conduction is considered using Caputo fractional derivative and m emory d ependent d erivative (MDD) to simulate transient thermo-elastic responses of the nanostructure subjected to a sudden thermal loading.
Journal ArticleDOI
Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity
TL;DR: In this article, a size-dependent thermoelastic model is established for higher order simple material by adopting both the size effect of heat conduction and elasticity with the aids of extended irreversible thermodynamics and generalized free energy.