On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags
In the present work, a modified model of heat conduction including higher order of time derivative is derived by extending Green and Naghdi theory without energy dissipation. We introduce two phase lag times to include the thermal displacement gradient and the heat flux in the heat conduction <st...
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Shahid Chamran University of Ahvaz
2020-07-01
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doaj-b319e6b288d0418fa6d22fb395d901102020-11-25T01:44:45ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362020-07-016344545610.22055/jacm.2019.29960.164914668On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-LagsAhmed Abouelregal0Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt | Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi ArabiaIn the present work, a modified model of heat conduction including higher order of time derivative is derived by extending Green and Naghdi theory without energy dissipation. We introduce two phase lag times to include the thermal displacement gradient and the heat flux in the heat conduction <strong>and</strong> depict microscopic responses more precisely. The constructed model is applied to study thermoelastic waves in a homogeneous and isotropic perfect conducting unbounded solid body containing a spherical cavity. We use the Laplace transform method to analyze the problem. The solutions for the field functions are obtained numerically using the numerical Laplace inversion technique. The results are analyzed in different tables and graphs and compared with those obtained earlier in the contexts of some other theories of thermoelasticity.http://jacm.scu.ac.ir/article_14668_fa720c7171117273fb48075d7cdd1f76.pdfthermoelasticitygreen-naghdi model iiphase-lagshigher-orderspherical cavity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ahmed Abouelregal |
spellingShingle |
Ahmed Abouelregal On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags Journal of Applied and Computational Mechanics thermoelasticity green-naghdi model ii phase-lags higher-order spherical cavity |
author_facet |
Ahmed Abouelregal |
author_sort |
Ahmed Abouelregal |
title |
On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags |
title_short |
On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags |
title_full |
On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags |
title_fullStr |
On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags |
title_full_unstemmed |
On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags |
title_sort |
on green and naghdi thermoelasticity model without energy dissipation with higher order time differential and phase-lags |
publisher |
Shahid Chamran University of Ahvaz |
series |
Journal of Applied and Computational Mechanics |
issn |
2383-4536 2383-4536 |
publishDate |
2020-07-01 |
description |
In the present work, a modified model of heat conduction including higher order of time derivative is derived by extending Green and Naghdi theory without energy dissipation. We introduce two phase lag times to include the thermal displacement gradient and the heat flux in the heat conduction <strong>and</strong> depict microscopic responses more precisely. The constructed model is applied to study thermoelastic waves in a homogeneous and isotropic perfect conducting unbounded solid body containing a spherical cavity. We use the Laplace transform method to analyze the problem. The solutions for the field functions are obtained numerically using the numerical Laplace inversion technique. The results are analyzed in different tables and graphs and compared with those obtained earlier in the contexts of some other theories of thermoelasticity. |
topic |
thermoelasticity green-naghdi model ii phase-lags higher-order spherical cavity |
url |
http://jacm.scu.ac.ir/article_14668_fa720c7171117273fb48075d7cdd1f76.pdf |
work_keys_str_mv |
AT ahmedabouelregal ongreenandnaghdithermoelasticitymodelwithoutenergydissipationwithhigherordertimedifferentialandphaselags |
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1725026506321690624 |