Influence of Hall current and acoustic pressure on nanostructured DPL thermoelastic plates under ramp heating in a double-temperature model

This work explores the influence of Hall current on the thermoelastic behavior of nanostructured (nonlocal) plates made of an elastic material, modeled under a double-temperature (two-temperature theory) framework, and subjected to ramp-type heating. The dual-temperature model accounts for the separ...

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Main Authors: Lotfy Kh., Elshazly Ibrahim S., Halouani Borhen, Sharma Saurav, Ailawalia Praveen, El-Bary Alaa A.
Format: Article
Language:English
Published: De Gruyter 2025-02-01
Series:Open Physics
Subjects:
Online Access:https://doi.org/10.1515/phys-2025-0125
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author Lotfy Kh.
Elshazly Ibrahim S.
Halouani Borhen
Sharma Saurav
Ailawalia Praveen
El-Bary Alaa A.
author_facet Lotfy Kh.
Elshazly Ibrahim S.
Halouani Borhen
Sharma Saurav
Ailawalia Praveen
El-Bary Alaa A.
author_sort Lotfy Kh.
collection DOAJ
description This work explores the influence of Hall current on the thermoelastic behavior of nanostructured (nonlocal) plates made of an elastic material, modeled under a double-temperature (two-temperature theory) framework, and subjected to ramp-type heating. The dual-temperature model accounts for the separate thermal dynamics, while the nonlocal elasticity theory incorporates long-range interactions within the material, making it particularly suitable for nanoscale materials. The governing equations are derived by integrating the effects of Hall current, and nonlocal elasticity into the coupled electro-thermo-mechanical equations according to the dual-phase lag model. The solution is obtained through the application of the normal mode analysis technique, allowing for the decoupling of the governing equations into solvable ordinary differential equations. Numerical simulations are performed, and results are presented graphically to compare the wave propagation characteristics of the basic physical fields such as temperature, displacement, acoustic pressure, and stress under the influence of Hall current and varying nonlocal parameters. The results reveal significant changes in wave propagation under varying boundary conditions, offering valuable insights into the interaction between magneto-electric fields, mechanical stresses, and thermal gradients. The study provides a novel framework for understanding wave propagation in nanostructured materials and paves the way for further research into their application in advanced thermoelectric-mechanical devices.
format Article
id doaj-art-26f08174540f4cdca153e51376f85178
institution OA Journals
issn 2391-5471
language English
publishDate 2025-02-01
publisher De Gruyter
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spelling doaj-art-26f08174540f4cdca153e51376f851782025-08-20T01:58:12ZengDe GruyterOpen Physics2391-54712025-02-012312405310.1515/phys-2025-0125Influence of Hall current and acoustic pressure on nanostructured DPL thermoelastic plates under ramp heating in a double-temperature modelLotfy Kh.0Elshazly Ibrahim S.1Halouani Borhen2Sharma Saurav3Ailawalia Praveen4El-Bary Alaa A.5Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, EgyptDepartment of Basic Sciences, Common First Year, King Saud University, Riyadh, 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi ArabiaUniversity of Houston Cullen College of Engineering, 7900 Cambridge Street, #7-2G, Houston, Texas, 77054, United States of AmericaDepartment of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab, IndiaArab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, EgyptThis work explores the influence of Hall current on the thermoelastic behavior of nanostructured (nonlocal) plates made of an elastic material, modeled under a double-temperature (two-temperature theory) framework, and subjected to ramp-type heating. The dual-temperature model accounts for the separate thermal dynamics, while the nonlocal elasticity theory incorporates long-range interactions within the material, making it particularly suitable for nanoscale materials. The governing equations are derived by integrating the effects of Hall current, and nonlocal elasticity into the coupled electro-thermo-mechanical equations according to the dual-phase lag model. The solution is obtained through the application of the normal mode analysis technique, allowing for the decoupling of the governing equations into solvable ordinary differential equations. Numerical simulations are performed, and results are presented graphically to compare the wave propagation characteristics of the basic physical fields such as temperature, displacement, acoustic pressure, and stress under the influence of Hall current and varying nonlocal parameters. The results reveal significant changes in wave propagation under varying boundary conditions, offering valuable insights into the interaction between magneto-electric fields, mechanical stresses, and thermal gradients. The study provides a novel framework for understanding wave propagation in nanostructured materials and paves the way for further research into their application in advanced thermoelectric-mechanical devices.https://doi.org/10.1515/phys-2025-0125thermoacousticnormal modethe dpl modeldouble-temperature modelhall currentnonlocal elasticity
spellingShingle Lotfy Kh.
Elshazly Ibrahim S.
Halouani Borhen
Sharma Saurav
Ailawalia Praveen
El-Bary Alaa A.
Influence of Hall current and acoustic pressure on nanostructured DPL thermoelastic plates under ramp heating in a double-temperature model
Open Physics
thermoacoustic
normal mode
the dpl model
double-temperature model
hall current
nonlocal elasticity
title Influence of Hall current and acoustic pressure on nanostructured DPL thermoelastic plates under ramp heating in a double-temperature model
title_full Influence of Hall current and acoustic pressure on nanostructured DPL thermoelastic plates under ramp heating in a double-temperature model
title_fullStr Influence of Hall current and acoustic pressure on nanostructured DPL thermoelastic plates under ramp heating in a double-temperature model
title_full_unstemmed Influence of Hall current and acoustic pressure on nanostructured DPL thermoelastic plates under ramp heating in a double-temperature model
title_short Influence of Hall current and acoustic pressure on nanostructured DPL thermoelastic plates under ramp heating in a double-temperature model
title_sort influence of hall current and acoustic pressure on nanostructured dpl thermoelastic plates under ramp heating in a double temperature model
topic thermoacoustic
normal mode
the dpl model
double-temperature model
hall current
nonlocal elasticity
url https://doi.org/10.1515/phys-2025-0125
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