Quasi-P wave through orthotropic piezo-thermoelastic materials subject to higher order fractional and memory-dependent derivatives

This study uses the triple-phase lag model to investigate how higher-order fractional order and memory-dependent derivatives affect reflection at the free surface of an orthotropic piezo-thermoelastic medium. The performance of both kinds of derivatives is studied using the normal mode analysis tech...

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Published inMechanics of advanced materials and structures Vol. 31; no. 22; pp. 5532 - 5546
Main Authors Gupta, Vipin, Barak, M. S.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 16.11.2024
Taylor & Francis Ltd
Subjects
Conduction heating
Conductive heat transfer
Coupled modes
Derivatives
Energy distribution
energy ratios
fractional derivative
Free surfaces
Higher order derivative
Impact analysis
Incidence angle
kernel
Kernel functions
memory-dependent derivatives
Order parameters
P waves
Parameter identification
Phase lag
phase lags
piezo-thermoelastic
Plane waves
Reflected waves
Wave reflection
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Abstract This study uses the triple-phase lag model to investigate how higher-order fractional order and memory-dependent derivatives affect reflection at the free surface of an orthotropic piezo-thermoelastic medium. The performance of both kinds of derivatives is studied using the normal mode analysis technique. Four different types of coupled reflected plane waves are identified and explore the impact of various parameters, fractional order parameter, kernel function, the higher-order time differential fractional, and memory-dependent heat conduction parameters on energy distribution with respect to the angle of incidence. The results are presented graphically, providing numerical data for reflected waves, amplitude, and energy ratios.
AbstractList This study uses the triple-phase lag model to investigate how higher-order fractional order and memory-dependent derivatives affect reflection at the free surface of an orthotropic piezo-thermoelastic medium. The performance of both kinds of derivatives is studied using the normal mode analysis technique. Four different types of coupled reflected plane waves are identified and explore the impact of various parameters, fractional order parameter, kernel function, the higher-order time differential fractional, and memory-dependent heat conduction parameters on energy distribution with respect to the angle of incidence. The results are presented graphically, providing numerical data for reflected waves, amplitude, and energy ratios.
Author Gupta, Vipin
Barak, M. S.
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  organization: Department of Mathematics, Indira Gandhi University
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Snippet This study uses the triple-phase lag model to investigate how higher-order fractional order and memory-dependent derivatives affect reflection at the free...
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SubjectTerms Conduction heating
Conductive heat transfer
Coupled modes
Derivatives
Energy distribution
energy ratios
fractional derivative
Free surfaces
Higher order derivative
Impact analysis
Incidence angle
kernel
Kernel functions
memory-dependent derivatives
Order parameters
P waves
Parameter identification
Phase lag
phase lags
piezo-thermoelastic
Plane waves
Reflected waves
Wave reflection
Title Quasi-P wave through orthotropic piezo-thermoelastic materials subject to higher order fractional and memory-dependent derivatives
URI https://www.tandfonline.com/doi/abs/10.1080/15376494.2023.2217420
https://www.proquest.com/docview/3097471300
Volume 31
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