Generalized magneto-thermoelastic half-space with diffusion under initial stress using three-phase-lag model

Othman, Mohamed I. A.; Eraki, Ebtesam E. M.

doi:10.1080/15397734.2016.1152193

Cited by 73 publications

(12 citation statements)

References 27 publications

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“…Deswal et al [11] studied magneto-thermoelastic interactions in an initially stressed, isotropic, homogeneous halfspace. The effects of initial stress and magnetic field on thermoelastic interactions in an isotropic, thermally and electrically conducting half-space, whose surface is subjected to mechanical and thermal loads, were explored by Othman and Eraki [12]. Xiong and Guo [13] investigated the electromagneto-thermoelastic diffusive plane waves in a half-space with variable material properties under fractional order thermoelastic theory.…”

Section: Journal Of Mathematicsmentioning

confidence: 99%

Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load

Gunghas

Kumar

Deswal

et al. 2019

Journal of Mathematics

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The current manuscript is presented to study two-dimensional deformations in a nonhomogeneous, isotropic, rotating, magneto-thermoelastic medium in the context of Green-Naghdi model III. It is assumed that the functionally graded material has nonhomogeneous mechanical and thermal properties in the x-direction. The exact expressions for the displacement components, temperature field, and stresses are obtained in the physical domain by using normal mode technique. These are also computed numerically for a copper-like material and presented graphically to observe the variations of the considered physical variables. Comparisons of the physical quantities are shown in figures to depict the effects of angular velocity, nonhomogeneity parameter, and magnetic field.

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Section: Journal Of Mathematicsmentioning

confidence: 99%

Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load

Gunghas

Kumar

Deswal

et al. 2019

Journal of Mathematics

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“…Consider an isotropic, homogeneous, linear thermoelastic diffusive micropolar medium. Following Othman and Eraki [3], Green and Naghdi [31] and Ciarletta [32], the fundamental relations and field equations take the following form when not only the heat sources are omitted but also any bodily couples and forces are avoided,…”

Section: Basic Equationsmentioning

confidence: 99%

The effect of diffusion on micropolar thermoelastic medium under 3PHL model

Alharbi

2021

Z Angew Math Mech

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This article aims to study how a thermoelastic medium having a bipolar nature is impacted by diffusion. It employs an analytical method called normal mode analysis to derive the formula for required physical quantities. The paper utilizes Green-Naghdi theory (G-N III) along with the three-phase-lag (3PHL) model to solve the existing problem. The comparisons are established graphically for different values of the phase-lag times, the presence and absence of diffusion, and the time parameter with respect to Green-Naghdi theory and the 3PHL model.

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“…Heat conduction equation (3PHL model): Othman and Eraki [6]

K^{*} (1 + τ_{ν} \frac{\partial}{\partial t}) \nabla^{2} θ + K (1 + τ_{θ} \frac{\partial}{\partial t}) \nabla^{2} θ_{, t} = (1 + τ_{q} \frac{\partial}{\partial t} + \frac{1}{2} τ_{q}^{2} \frac{\partial^{2}}{\partial t^{2}}) (ρ C_{e} θ_{, t t} + υ T_{0} e_{, t t} + m T_{0} ψ_{, t} - Q) .

Micropolar equation:

ε_{i j p} σ_{j p} + m_{j i, j} = ρ j φ_{i, t t} .

Using Equations (1)‐(3), Equation () take the form:

false(α + β + γ false) \nabla {(\nabla . bold-italicφ)}_{i} - γ \nabla \times {(\nabla \times bold-italicφ)}_{i} + k {(\nabla \times u)}_{i} - 2 k {bold-italicφ}_{i} = ρ j φ_{i, t t}

Voids equation:

α^{*} \nabla^{2...}

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The generalized micropolar thermoelastic medium was discussed by Othman et al. [5], with a three‐phase‐lag model; the three‐phase‐lag model was then used by Othman and Eraki [6] to investigate a generalized version of the magneto‐thermo‐elastic half‐space with the initial stress used for diffusion.…”

Section: Introductionmentioning

confidence: 99%

Effect of temperature‐dependent and internal heat source on a micropolar thermoelastic medium with voids under 3PHL model

2020

Self Cite

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The goal of the paper is to present the study of the effect of an internal heat source and the dependence of temperature on a micropolar voided medium that is thermoelastic in the theory of the three‐phase‐lag model of thermoelasticity. The governing equations are formulated and then the exact displacement component expressions, temperature field, microrotation components, the components of stress and volume fraction field change are found with the normal mode technique. The obtained results for thermal variations were validated by comparing to the three‐phase‐lag model (3PHL) and the Green and Naghdi of type III theory (G‐N III). The comparisons are shown graphically to explore the effects of the internal heat source and void parameters as well as temperature dependent. Other subjects of interest received their own deductions from this investigation.

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Generalized magneto-thermoelastic half-space with diffusion under initial stress using three-phase-lag model

Cited by 73 publications

References 27 publications

Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load

Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load

The effect of diffusion on micropolar thermoelastic medium under 3PHL model

Effect of temperature‐dependent and internal heat source on a micropolar thermoelastic medium with voids under 3PHL model

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