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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A stochastic half-space problem in the theory of generalized thermoelastic diffusion including heat source
TL;DR: In this article, a stochastic half-space problem, driven by an additive Gaussian white noise, is considered within the context of the theory of generalized thermoelastic diffusion with one relaxation time.
Journal ArticleDOI
Wave propagation in an initially stressed elastic half-space solids under time-fractional order two-temperature magneto-thermoelasticity
TL;DR: In this article, the magneto-thermo-elastic disturbances in a homogeneous isotropic perfectly conducting thermoelastic semi-infinite medium caused by the hydrostatic initial stress is investigated.
Journal ArticleDOI
On an influence of thermal stresses and magnetic field in thermoelastic half-space without energy dissipation
TL;DR: In this paper, a two-dimensional problem for a homogeneous, isotropic, and thermoelastic half-space subjected to magnetic field and time-dependent heat source is investigated.
Journal ArticleDOI
Analysis of Magnetothermoelastic Response in a Fiber-Reinforced Elastic Solid Due to Hydrostatic Initial Stress and Gravity Field
TL;DR: In this paper, the authors investigated the influence of the initial stress and the gravity field on the plane waves in a fiber-reinforced magnetothermoelastic isotropic medium using the Lord-Shulman model.
Journal ArticleDOI
Temperature rate dependent generalized thermoelasticity with modified ohm's law
Nantu Sarkar,A. Lahiri +1 more
TL;DR: In this article, an electro-magneto-thermoelastic coupled problem for a homogeneous, isotropic, thermally and electrically conducting semi-infinite solid medium in two-dimensional space where an initial magnetic field with constant intensity acts parallel to the plane boundary of the half-space.
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.