Journal ArticleDOI
Theoretical and computational aspects of non-classical thermoelasticity
Swantje Bargmann,Paul Steinmann +1 more
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TLDR
In this article, the authors proposed a finite element discretization of the thermal problem for non-classical heat conduction in solids, based on the Green-Naghdi approach.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2006-12-01. It has received 56 citations till now. The article focuses on the topics: Finite element method & Discretization.read more
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A virtual power format for thermomechanics
TL;DR: In this paper, a virtual power format was used to deduce all balance and imbalance laws of thermomechanics, and the basic balance laws turn out to be those for momentum and entropy.
Journal ArticleDOI
On the three-phase-lag linear micropolar thermoelasticity theory
TL;DR: The constitutive laws for the three-phase lag micropolar thermoelasticity theory are given in this paper, and the uniqueness and reciprocal theorems are proved and a variational principle is established for a linear anisotropic and inhomogeneous thermo-elastic solid.
Journal ArticleDOI
On the Two-Temperature Green–Naghdi Thermoelasticity Theories
A S El Karamany,Magdy A. Ezzat +1 more
TL;DR: The constitutive laws for two-temperature Green-Naghdi theories are given in this article, where it is proved that the theory of elasticity without energy dissipation is valid only when the twotemperatures coincide.
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On the propagation of second-sound in linear and nonlinear media: Results from Green–Naghdi theory
TL;DR: In this paper, the authors investigated thermal wave propagation in one-dimensional media according to Green-Naghdi's heat conduction theory under the linearized theory, the dynamic propagation of a Heaviside input signal in a half-space is examined Exact analytical solutions are derived for the three cases (ie, types I-III) of this theory.
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Modeling and simulation of first and second sound in solids
Swantje Bargmann,Paul Steinmann +1 more
TL;DR: In this article, the propagation of mechanical and thermal waves in solids at cryogenic temperatures is investigated, e.g., in dielectric solids and differs greatly from the classical case in which the heat transport proceeds by diffusion.
References
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Journal ArticleDOI
A Unified Field Approach for Heat Conduction From Macro- to Micro-Scales
TL;DR: In this article, a universal constitutive equation between the heat flux vector and the temperature gradient is proposed to cover the fundamental behaviors of diffusion, wave, phonon-electron interactions, and pure phonon scattering.
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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.
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Hyperbolic Thermoelasticity: A Review of Recent Literature
TL;DR: In this paper, a review of contributions to the theory of thermoelasticity with thermal relaxation and the temperature-rate dependent thermodynamic properties is presented, and a glance is made at the new theory which includes the so-called dual-phase-lag effects.