Journal ArticleDOI
Effects of Hall current in a transversely isotropic magnetothermoelastic with and without energy dissipation due to normal force
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In this paper, the disturbances in a homogeneous transversely isotropic thermoelastic rotating medium with two temperature, in the presence of the combined effects of Hall currents and magnetic field due to normal force of ramp type, were investigated.Abstract:
This investigation is concerned with the disturbances in a homogeneous transversely isotropic thermoelastic rotating medium with two temperature, in the presence of the combined effects of Hall currents and magnetic field due to normal force of ramp type. The formulation is applied to the thermoelasticity theories developed by Green-Naghdi Theories of Type-II and Type-III. Laplace and Fourier transform technique is applied to solve the problem. The analytical expressions of displacements, stress components, temperature change and current density components are obtained in the transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerically simulated results are depicted graphically to show the effects of Hall current and anisotropy on the resulting quantities. Some special cases are also deduced from the present investigation.read more
Citations
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Magneto-thermal shock for a fiber-reinforced anisotropic half-space studied with a refined multi-dual-phase-lag model
TL;DR: In this paper, a model of multi-dual-phase-lag generalized magneto-thermoelasticity is presented to treat a thermal shock for a fiber-reinforced anisotropic half-space.
Journal ArticleDOI
Rotational effect on thermoelastic Stoneley, Love and Rayleigh waves in fibre-reinforced anisotropic general viscoelastic media of higher order
TL;DR: In this paper, the authors investigated the propagation of thermoelastic surface waves in fiber-reinforced anisotropic general impedance viscoelastic media of higher order of nth order including time rate of strain under the influence of rotation.
Journal ArticleDOI
Rayleigh wave propagation in transversely isotropic magneto-thermoelastic medium with three-phase-lag heat transfer and diffusion
Iqbal Kaur,Parveen Lata +1 more
TL;DR: In this paper, the propagation of Rayleigh wave in transversely isotropic magneto-thermo-elastic homogeneous medium in the presence of mass diffusion and three-phase-lag heat transfer is investigated.
Journal ArticleDOI
Effect of the hyperbolic two-temperature model without energy dissipation on photo-thermal interaction in a semi-conducting medium
TL;DR: In this paper, the generalized model for photo-thermoelastic waves under a hyperbolic two-temperature model without energy dissipation is used to calculate the conductive and thermodynamic temperatures, carrier density, displacement and stress in a semi-infinite semi-conducting medium.
Journal ArticleDOI
Fractional Green-Naghdi theory for thermoelectric MHD
TL;DR: In this paper, the Green-Naghdi theory of thermomechanics of continua was used to derive a linear theory of MHD thermoelectric fluid with fractional order of heat transfer.
References
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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.
Journal ArticleDOI
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.
Journal ArticleDOI
A method for the numerical inversion of Laplace transforms
TL;DR: A numerical inversion method for Laplace transforms, based on a Fourier series expansion developed by Durbin [5], is presented in this article, where the disadvantage of the inversion methods of that type, the encountered dependence of discretization and truncation error on the free parameters, is removed by the simultaneous application of a procedure for the reduction of the Discretization error, a method for accelerating the convergence of the Fourier Series and a procedure that computes approximately the "best" choice of the free parameter.
Journal ArticleDOI
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.