Dual-Phase-Lag Diffusion Model for Thomson's Phenomenon on Electromagneto-thermoelastic an Infinitely Long Solid Cylinder

Abouelregal, Ahmed E.; Abo‐Dahab, S. M.

doi:10.1166/jctn.2014.3459

Cited by 26 publications

(10 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Maxwell's equations (Abouelregal and Abo‐Dahab 18 ) are given as

\begin{matrix} trueleft \\ curl \overset{true\to}{h} = \overset{true⇀}{J} + ε_{0} \frac{\partial \overset{true\to}{E}}{\partial t}, - μ_{e} \frac{\partial \overset{true\to}{h}}{\partial t} = curl \overset{true\to}{E}, div \overset{true\to}{h} = 0, div \overset{true\to}{E} = 0, \\ \overset{true\to}{E} = - μ_{e} true(\frac{\partial \overset{true\to}{u}}{\partial t} \times {\overset{H}{true}}_{0} true), \overset{true\to}{h} = curl (\overset{true\to}{u} \times {\overset{H}{true}}_{0}), \overset{true\to}{F_{i}} = μ_{e} {(\overset{true\to}{J} \times {\overset{H}{true}}_{0})}_{i}, \end{matrix}

where

\overset{H}{true} = {\overset{true\to}{H}}_{0} + \overset{h}{true} false(x, z, t false), {\overset{true\to}{H}}_{0} = false(0, H_{0}, 0 false) .

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Allam et al 17 discussed the influence of the electromagnetic field and initial stress in an elastic solid half‐space with thermoelastic diffusion. Abouelregal and Abo‐Dahab 18 illustrated the interaction between electromagnetic and thermal fields and elastic problem along an infinitely solid cylinder is solved analytically using the dual‐phase‐lag diffusion model (DPL). Abo‐Dahab 19 studied the shear wave propagation in an anisotropic nonhomogeneous incompressible medium with the electromagnetic field, gravity field, rotation, and initial stress taking into account presence and absence of magnetic field, initial stress, and rotation.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dual‐phase‐lag model on magneto‐thermoelastic rotating medium with voids and diffusion under the effect of initial stress and gravity

Abo‐Dahab

Abd-Alla

2020

Heat Trans

View full text Add to dashboard Cite

In this paper, the propagation of harmonic plane waves is considered in a generalized thermoelastic medium with diffusion and voids in the presence of initial stress, magnetic field, rotation, and gravity in the context of thermoelastic models; classical, Lord Shulman, Green Lindsay as well as dual-phase-lag models. We applied the boundary conditions in the physical domain using the normal mode method technique on the surface to obtain the displacements, stresses, temperature, diffusion concentration, and the volume fraction field. Influence of initial stress, magnetic field, rotation, and gravity on temperature, stresses, concentration of diffusion, and the volume fraction is observed through a numerical example.The results obtained will be compared in the presence and absence of the new considered variables, also with the previous results obtained by the others and displayed graphically.diffusion, dual-phase-lag, electromagnetic, gravity, Green-Lindsay, initial stress, Lord-Shulman, normal mode analysis, rotation, voids | INTRODUCTIONAny study on the propagation waves in generalized thermoelasticity materials can be significant in structural engineering, geophysics, and seismology. Such a study becomes more realistic if the presence of initial stress, magnetic field, rotation, and gravity could be considered. Lord and Shulman 1 introduced the generalized theory of thermoelasticity with one relaxation time considering an isotropic body. The linear theory of elastic materials under the influence of voids in investigated by Cowin and Nunziato. 2 Aouadi 3 presented a generalized thermoelastic diffusion problem based on the theory of Lord and Shulman with one relaxation time in anisotropic media. Aouadi 4 proved the generalized thermoelastic diffusion problem, based on the theory of Lord and Shulman using Laplace transforms technique for a uniqueness theorem for these equations. A generalized thermoelastic one-dimensional (1D) diffusion in infinite medium with a spherical cavity subjected to a time-dependent thermal shock of its internal boundary which is assumed to be traction free is pointed out by Aouadi. 5 Singh 6,7 investigated the reflection of P and SV waves from the generalized thermodiffusion free surface of an elastic solid. Nowacki 8-10 illustrated dynamical problems of thermoelastic diffusion in solids. Olesiak and Pyryev 11 discussed the influence of the cross effects arising from the coupling of the fields of mass diffusion, temperature, and strain in an elastic cylinder. Sherief and Saleh 12 discussed the generalized thermoelastic theory with diffusion in half-space solid. Ram et al 13 studied the thermomechanical response of generalized thermoelastic diffusion with one relaxation time because of the time-harmonic sources. Effect of viscosity and diffusion on generalized magnetothermoelastic interactions on a spherical cavity isotropic body is discussed by Bayones. 14 Abo-Dahab and Singh 15 illustrated the influence of the magnetic field in an elastic solid half-space under thermoelastic diffusion. Xi...

show abstract

“…Maxwell's equations (Abouelregal and Abo‐Dahab 18 ) are given as

\begin{matrix} trueleft \\ curl \overset{true\to}{h} = \overset{true⇀}{J} + ε_{0} \frac{\partial \overset{true\to}{E}}{\partial t}, - μ_{e} \frac{\partial \overset{true\to}{h}}{\partial t} = curl \overset{true\to}{E}, div \overset{true\to}{h} = 0, div \overset{true\to}{E} = 0, \\ \overset{true\to}{E} = - μ_{e} true(\frac{\partial \overset{true\to}{u}}{\partial t} \times {\overset{H}{true}}_{0} true), \overset{true\to}{h} = curl (\overset{true\to}{u} \times {\overset{H}{true}}_{0}), \overset{true\to}{F_{i}} = μ_{e} {(\overset{true\to}{J} \times {\overset{H}{true}}_{0})}_{i}, \end{matrix}

where

\overset{H}{true} = {\overset{true\to}{H}}_{0} + \overset{h}{true} false(x, z, t false), {\overset{true\to}{H}}_{0} = false(0, H_{0}, 0 false) .

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dual‐phase‐lag model on magneto‐thermoelastic rotating medium with voids and diffusion under the effect of initial stress and gravity

Abo‐Dahab

Abd-Alla

2020

Heat Trans

View full text Add to dashboard Cite

show abstract

“…[45][46][47][48][49][50][51][52][53][54][55][56][57][58]. Recently Lotfy and Abo-Dahab 59 investigated a two-dimensional problem of two temperature generalized thermoelasticity with normal mode analysis under thermal shock problem.…”

Section: Abo-dahab and Lotfymentioning

confidence: 99%

Generalized Magneto-Thermoelasticity with Fractional Derivative Heat Transfer for a Rotation of a Fibre-Reinforced Thermoelastic

Abo‐Dahab¹,

Lotfy²

2015

j comput theor nanosci

Self Cite

View full text Add to dashboard Cite

An electro-magneto thermoelastic coupled problem for a homogeneous, isotropic, thermally and electrically conducting half-space solid whose surface is subjected to a thermal shock is considered in two-dimensional space. We introduced the coupled theory (CD), Lord-Schulman (LS) theory and Green-Lindsay (GL) theory to study the influence of fractional derivative heat transfer allowing the second sound effects of magnetic field and rotation on 2-D problem of a fibre-reinforced thermoelastic. The methodology applied here is use of the normal mode analysis is used to solve the problem of a thermal shock problem. Some particular cases are also discussed in the context of the problem. Deformation of a body depends on the nature of force applied as well as the type of boundary conditions. The numerical estimates of the quantities of physical interest are obtained and depicted graphically. Some comparisons have been shown in figures to estimate the effect of the fractional order on all the studied fields.

show abstract

“…Many investigations have been devoted to studies on the rotation effect of thermoelastic propagation of waves in an isotropic infinite cylinder materials. Abouelregal and Abo-Dahab [15,16] introduced the effect of dual phase lag model on a non-homogeneous magneto-thermoelastic infinite solid having a spherical cavity and studied the diffusion effect and Thomson's phenomenon on magneto-thermoelastic solid cylinder. Abouelregal and Zenkour [17] concerned the effect of rotation on an isotropic homogeneous thermoelastic half-space due to a crack of Mode-I using the generalized theory of thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Interactions in a Rotating Infinite Orthotropic Elastic Body with a Cylindrical Hole and Variable Thermal Conductivity

Mashat

Zenkour

Abouelregal

2017

Archive of Mechanical Engineering

View full text Add to dashboard Cite

In the present article, we introduced a new model of the equations of generalized thermoelasticity for unbounded orthotropic body containing a cylindrical cavity. We applied this model in the context of generalized thermoelasticity with phase-lags under the effect of rotation. In this case, the thermal conductivity of the material is considered to be variable. In addition, the cylinder surface is traction free and subjected to a uniform unit step temperature. Using the Laplace transform technique, the distributions of the temperature, displacement, radial stress and hoop stress are determined. A detailed analysis of the effects of rotation, phase-lags and the variability thermal conductivity parameters on the studied fields is discussed. Numerical results for the studied fields are illustrated graphically in the presence and absence of rotation.

show abstract

Dual-Phase-Lag Diffusion Model for Thomson's Phenomenon on Electromagneto-thermoelastic an Infinitely Long Solid Cylinder

Cited by 26 publications

References 10 publications

Dual‐phase‐lag model on magneto‐thermoelastic rotating medium with voids and diffusion under the effect of initial stress and gravity

Dual‐phase‐lag model on magneto‐thermoelastic rotating medium with voids and diffusion under the effect of initial stress and gravity

Generalized Magneto-Thermoelasticity with Fractional Derivative Heat Transfer for a Rotation of a Fibre-Reinforced Thermoelastic

Thermoelastic Interactions in a Rotating Infinite Orthotropic Elastic Body with a Cylindrical Hole and Variable Thermal Conductivity

Contact Info

Product

Resources

About