Effect of magnetic field on piezo-thermoelastic medium with three theories

Othman, Mohamed I. A.; Elmaklizi, Yassmin D.; Ahmed, Ethar A. A.

doi:10.1016/j.rinp.2017.08.058

Cited by 20 publications

(6 citation statements)

References 26 publications

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“…s is the second piola-kirchhoff stress tensor, n and ¡ are the strain rate and determined MGL simulation parameter respectively. The equations of energy and motion in the reference coordinate system are expressed in equations (3), (4) [12][13][14][15]:…”

Section: The Generalized Thermoelasticity Equations Of Porous Mediums...mentioning

confidence: 99%

“…Kiani [9] presented new investigations on thermoelasticity simulations without considering energy loss. In addition, numerous scientists employed the presenting thermal equations according to a two or three-phase model [10][11][12][13][14]. The general outcomes achieved from these analyses showed that considering heat phase-lags in the correlations of thermal conduction shows more realistic results of the thermoelasticity, as it prepares a delayed behavior for the thermal flux vector.…”

Section: Introductionmentioning

confidence: 99%

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One-dimensional electro- magneto-poro-thermoelastic wave propagation in a functionally graded medium with energy dissipation

Mirparizi¹,

Zhang²,

Amiri³

2022

Phys. Scr.

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Laser-induced wave propagation and reflection phenomenon in a functionally graded porous medium subjected to electro- magnetic field is studied in the present research. Firstly, a modified generalized thermoelastic theory named Modified Green Lindsay (MGL) for wave propagation in a porous medium is developed. The properties of the medium are considered as a temperature-dependent nonlinear function. Furthermore, the influence of thermal and mechanical rates in the modified generalized equations are considered. An updated FEM and Newmark’s technique are applied to solve the time-dependent and nonlinear equations. The second Piola-Kirchhoff stress, temperature and displacement distributions in the body subjected to laser shock are presented graphically. Based on the results, the wave propagation amplitude in the body subjected to heat flux reduces over time because of the backplane influenced by convection heat transfer. Wave propagation is more obvious in MGL simulation outcomes compared to the classical ones. In addition, it is observed that the MGL simulation is superior in presenting more exact wave propagation in comparison to the simple GL theory. As the boundary condition receives the most energy due to the laser pulse, the maximum variations of the volume fraction are experienced in this boundary.

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Section: The Generalized Thermoelasticity Equations Of Porous Mediums...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

One-dimensional electro- magneto-poro-thermoelastic wave propagation in a functionally graded medium with energy dissipation

Mirparizi¹,

Zhang²,

Amiri³

2022

Phys. Scr.

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“…Kumar et al [23] explored the propagation of Rayleigh waves in piezoelectric micro-stretch thermoelastic medium. Othman et al [24] presented a mathematical model to discuss the effect of magnetic field on piezothermoelastic medium with three theories (coupled theory, L-S theory, and G-L theory). Ahmed et al [25] studied the effect of rotation on plane wave propagation in a half-space of a piezothermoelastic material within the frame of dual-phase-lag model.…”

Section: Piezothermoelasticitymentioning

confidence: 99%

Thermoelastic interactions on the propagation of surface waves in a piezoelectric half-space: A comparative analysis of GN-III type and three-phase-lag model

Rakshit

Lakshman

Mistri³

2022

Mathematics and Mechanics of Solids

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This study elucidates the propagation of surface (Rayleigh type) waves in a homogeneous, transversely isotropic, piezothermoelastic half-space subjected to stress free, electrically open or shorted, and thermally insulated or isothermal boundary conditions, based on GN-III type and three-phase-lag thermoelastic models. Plane harmonic wave solutions are employed to find the mechanical displacements, electrical potential, and temperature change. With the aid of these expressions, stresses, electrical displacement, and temperature gradient are derived. Based on different boundary conditions, four secular equations are derived in the considered half-space. Path of the surface particles traces an elliptic path in vertical plane parallel to the direction of wave propagation and the eccentricity of the ellipse is calculated. Particle path degenerates a straight line when there is no phase difference between vertical and horizontal components of displacements. A pre-established analysis is discussed as a particular case of this study. Effect of various characteristics of waves like phase velocity, attenuation coefficient, and specific loss is demonstrated graphically for the GN-III type and three-phase-lag thermoelastic models engaging cadmium selenide (6 mm class) material of hexagonal symmetry. This mathematical framework may be utilized to design and develop temperature sensors, and other piezoelectric surface acoustic wave (SAW) devices.

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“…Surface waves in viscoelastic media under the influence of gravity were studied by Bhattacharyya and De (1977). Various authors, Othman and Edeeb (2016), Othman and Ahmed (2016), Othman and Hilal (2017), Othman et al (2013) and Said (2016), discussed different types of problems on thermoelasticity under the influence of gravity field and rotation. Investigation of the interaction between gravity, rotation, stress, and strain in a thermovisco-elastic solid is very important due to their many applications in the fields of geophysics, plasma physics, and related topics.…”

Section: Effect Of Rotation and Gravitymentioning

confidence: 99%

Effect of rotation and gravity on generalized thermo-viscoelastic medium with voids

Othman

Fekry

2018

MMMS

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Purpose The purpose of this paper is to study the effect of rotation and gravity on a homogeneous, isotropic, and generalized thermo-viscoelastic material with voids. The problem is studied in the context of the coupled theory, Lord-Shulman theory with one relaxation time, and Green-Lindsay theory with two relaxation times. Design/methodology/approach The analytical method used was the normal mode analysis technique. Findings Numerical results for the physical quantities were analyzed and presented graphically. The graphical results indicated that the effects of rotation and gravity were observable physical effects on the thermo-viscoelastic material with voids. Comparisons were made between the results obtained in the absence and presence of rotation and gravity. Originality/value In the present work, the authors investigated the effect of rotation and gravity on thermo-viscoelastic medium with voids. Comparisons were also made between the three theories in the absence and the presence of rotation and gravity. Such problems are very important in many dynamical systems.

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Effect of magnetic field on piezo-thermoelastic medium with three theories

Cited by 20 publications

References 26 publications

One-dimensional electro- magneto-poro-thermoelastic wave propagation in a functionally graded medium with energy dissipation

One-dimensional electro- magneto-poro-thermoelastic wave propagation in a functionally graded medium with energy dissipation

Thermoelastic interactions on the propagation of surface waves in a piezoelectric half-space: A comparative analysis of GN-III type and three-phase-lag model

Effect of rotation and gravity on generalized thermo-viscoelastic medium with voids

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