Effect of rotation and gravity on the reflection of P-waves from thermo-magneto-microstretch medium in the context of three phase lag model with initial stress

Abo‐Dahab, S. M.; Abd-Alla, A. M.; Kilany, A. A.; Elsagheer, M.

doi:10.1007/s00542-017-3697-x

Cited by 28 publications

(6 citation statements)

References 17 publications

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“…Using three thermoelastic theories, the authors of [15] discussed SV-waves occurrence at the interface between solid-liquid media under the initial stress and electromagnetic field. Abo-Dahab et al [16] studied the impact of rotation and gravity on the reflection of P-waves from thermo-magneto-microstretch medium within the 3PHL model with initial stress.…”

Section: Introductionmentioning

confidence: 99%

Noninteger Derivative Order Analysis on Plane Wave Reflection from Electro-Magneto-Thermo-Microstretch Medium with a Gravity Field within the Three-Phase Lag Model

Elhag

Bayones

Kilany

et al. 2022

Advances in Mathematical Physics

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The present research paper illustrates how noninteger derivative order analysis affects the reflection of partial thermal expansion waves under the generalized theory of plane harmonic wave reflection from a semivacuum elastic solid material with both gravity and magnetic field in the three-phase lag model (3PHL). The main goal for this study is investigating the fractional order impact and the applications related to the orders, especially in biology, medicine, and bioinformatics, besides the integer order considering an external effect, such as electromagnetic, gravity, and phase lags in a microstretch medium. The problem fractional form was formulated, and the boundary conditions were applied. The results were displayed graphically, considering the 3PHL model with magnetic field, gravity, and relaxation time. These findings were an explicit comparison of the effect of the plane wave reflection amplitude with integer derivative order analysis and noninteger derivative order analysis. The fractional order was compared to the correspondence integer order that indicated to the difference between them and agreement with the applications in biology, medicine, and other related topics. This phenomenon has more applications in relation to the biology and biomathematics problems.

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Section: Introductionmentioning

confidence: 99%

Noninteger Derivative Order Analysis on Plane Wave Reflection from Electro-Magneto-Thermo-Microstretch Medium with a Gravity Field within the Three-Phase Lag Model

Elhag

Bayones

Kilany

et al. 2022

Advances in Mathematical Physics

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“…Khalil et al [30] investigated electromagnetic field and initial stress on a photothermal semiconducting voids medium under thermoelasticity theories. Abo-Dahab et al [33][34][35][36][37] studied the effect of relaxation times in different mediums with several variables. Alotaibi et al [38] used fractional calculus of thermoelastic P-Waves reflection under influence of gravity and electromagnetic fields.…”

Section: Introductionmentioning

confidence: 99%

A Thermoelastic Piezoelectric Fixed Rod Exposed to an Axial Moving Heat Source via a Dual‐Phase‐Lag Model

et al. 2021

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Piezoelectric ceramics are used more in the active control of noise and vibration with sensors and actuators. As a result, a one-dimensional homogeneous thermoelastic fixed piezoelectric rod subjected to a moving heat flow has been considered. The heating rod is affected by three fields, namely, thermal, mechanical, and electric potential. In order to design a reliable smart structure, this study is necessary and the thermopiezoelectric behavior of piezoelectric ceramics must be understood clearly. The Laplace transform method is applied to acquire the distributions of stress, deformation, and temperature fields. The effect of heat source velocity and phase lag parameters on the considered physical fields is displayed graphically, and the results are compared with other models of thermoelasticity. The present findings could find possible applications for designing receiving portions of transformers of Rosen type for voltage magnification.

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“…Abo‐Dahab et al 23 explored the impact of the electromagnetic field, gravity, initial stress, and rotation on P wave reflection from stress‐free surface elastic half‐space with voids under three thermoelastic models. Abo‐Dahab et al 24 proved the impact of the gravitational constant and rotation on the reflection of P waves from the thermo‐magneto‐microstretch medium in the context of the three‐phase lag model with initial stress. Abd‐Alla et al 25 explored the impact of a magnetic field on wave propagation in a homogeneous isotropic thermoelastic half‐space.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic field and three‐phase lag in a compressed rotating isotropic homogeneous micropolar thermo‐viscoelastic half‐space

Bayones

Abo‐Dahab

Abd-Alla

et al. 2021

Math Methods in App Sciences

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Using a thermal shock of the ramp type, the authors constructed a unique mathematical three‐phase‐lag scheme in a compressed rotating isotropic homogeneous micropolar thermo‐viscoelastic medium. The model is applied to solve an issue of an exactly performing half‐space exposed to defined boundary circumstances with an electromagnetic field. Normal mode analysis and Lame's potentials methods were used to obtain the analytical answers. The authors were interested in studying the effect of the initial stress, ramp time, magnetic field, and rotation on distributing, displacement, temperature, and stress, as well as induced electric and magnetic distribution. The findings showed that the impact of the viscous, ramp parameter, rotation, phase lag, magnetic field, and initial stress on the micropolar thermo‐viscoelastic medium is distinct.

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Effect of rotation and gravity on the reflection of P-waves from thermo-magneto-microstretch medium in the context of three phase lag model with initial stress

Cited by 28 publications

References 17 publications

Noninteger Derivative Order Analysis on Plane Wave Reflection from Electro-Magneto-Thermo-Microstretch Medium with a Gravity Field within the Three-Phase Lag Model

Noninteger Derivative Order Analysis on Plane Wave Reflection from Electro-Magneto-Thermo-Microstretch Medium with a Gravity Field within the Three-Phase Lag Model

A Thermoelastic Piezoelectric Fixed Rod Exposed to an Axial Moving Heat Source via a Dual‐Phase‐Lag Model

Electromagnetic field and three‐phase lag in a compressed rotating isotropic homogeneous micropolar thermo‐viscoelastic half‐space

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