Journal ArticleDOI
A three-dimensional thermoelastic problem for a half-space without energy dissipation
Nantu Sarkar,A. Lahiri +1 more
TLDR
In this paper, a three-dimensional problem for a homogeneous, isotropic and thermoelastic half-space subjected to a time-dependent heat source on the boundary of the space, which is traction free, is considered in the context of the Green and Naghdi model II (thermasticity without energy dissipation).About:
This article is published in International Journal of Engineering Science.The article was published on 2012-02-01. It has received 71 citations till now. The article focuses on the topics: Thermoelastic damping & Dissipation.read more
Citations
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Hall current effect in double poro-thermoelastic material with fractional-order Moore–Gibson–Thompson heat equation subjected to Eringen's nonlocal theory
TL;DR: In this paper , the analysis of one-dimensional thermo-elastic interaction in an infinite medium consisting of double poro-thermoelastic material with voids (DPTMWV) in the presence of Hall current by developing the fundamental relations in light of Eringen's nonlocal elasticity theory is presented.
Journal ArticleDOI
Quasi-adiabatic approximation for thermoelastic surface waves in orthorhombic solids
A. Nobili,A.V. Pichugin +1 more
TL;DR: In this article, an asymptotic model for time-harmonic motion in fully-coupled linear thermoelastic orthorhombic materials is presented, taking advantage of the observation that the parameter expressing departure from the purely adiabatic regime is extremely small in practice.
Journal ArticleDOI
Three-dimensional thermal shock problem in the frame of memory-dependent generalized thermoelasticity
TL;DR: In this article, the Lord-Shulman theory of generalized thermoelasticity based on a memory-dependent derivative is employed to study the thermo-elastic response in a three-dimensional elastic half-space medium whose free surface is assumed to be traction-free and subjected to a thermal shock.
Journal ArticleDOI
Memory-dependent magneto–thermoelasticity for perfectly conducting two-dimensional elastic solids with thermal shock
Sarhan Y. Atwa,Nantu Sarkar +1 more
TL;DR: In this paper, the effects of the kernel function, time-delay parameter, magnetic field and thermoelastic coupling parameter on the variations of different field quantities inside the half-space are analyzed graphically.
Journal ArticleDOI
Generalized thermoelastic band structures of Rayleigh wave in one-dimensional phononic crystals
TL;DR: In this paper, the band structures of TE Rayleigh wave in one-dimensional phononic crystals under steady-state thermal environment are investigated in the context of Green-Naghdi theory.
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
Thermoelasticity and Irreversible Thermodynamics
TL;DR: In this article, a unified treatment of thermoelasticity by application and further developments of the methods of irreversible thermodynamics is presented, along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement.
Journal ArticleDOI
Thermoelasticity without energy dissipation
Albert Edward Green,P. M. Naghdi +1 more
TL;DR: In this article, a general uniqueness theorem for linear thermoelasticity without energy dissipation is proved and a constitutive equation for an entropy flux vector is determined by the same potential function which also determines the stress.
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On undamped heat waves in an elastic solid
Albert Edward Green,P. M. Naghdi +1 more
TL;DR: In this article, the authors focused on the thermal properties of the constitutive response functions in the context of both nonlinear and linear theories, and provided an easy comparison of the one-dimensional version of the equation for the determination of temperature in the linearized theory.
Journal ArticleDOI
A Re-Examination of the Basic Postulates of Thermomechanics
Albert Edward Green,P. M. Naghdi +1 more
TL;DR: In this paper, the basic postulates of the purely mechanical theory for a continuum (including its specialization for a rigid body) are re-examined in the context of flow of heat in a rigid solid with particular reference to the propagation of thermal waves at finite speed.