Thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model

In the past few decades, many models have been proposed to address the shortcomings found in the classical theories of thermoelasticity and to allow limited speeds of heat waves. In this context, in the current paper a new generalized model of thermoelasticity based on the Moore–Gibson–Thompson (MGT...

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Autores principales:	Abouelregal Ahmed Elsayed, Ahmad Hijaz, Yao Shao-Wen, Abu-Zinadah Hanaa
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	thermo-viscoelasticity constraint orthotropic cylinder variable thermal properties mgt model Physics QC1-999
Acceso en línea:	https://doaj.org/article/627421a090634f7baa933cf011ef7573
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spelling	oai:doaj.org-article:627421a090634f7baa933cf011ef75732021-12-05T14:11:02ZThermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model2391-547110.1515/phys-2021-0034https://doaj.org/article/627421a090634f7baa933cf011ef75732021-09-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0034https://doaj.org/toc/2391-5471In the past few decades, many models have been proposed to address the shortcomings found in the classical theories of thermoelasticity and to allow limited speeds of heat waves. In this context, in the current paper a new generalized model of thermoelasticity based on the Moore–Gibson–Thompson (MGT) equation has been introduced. This new model can be derived by introducing the relaxation time factor into the third type of Green–Naghdi model (GN-III). In contrast to the previous works, it was taken into account that the physical properties of the material are dependent on temperature and on the viscous type. The viscoelastic medium has been assumed to obey the Kelvin–Voigt model. On the basis of the present model, thermo-viscoelastic interactions have been investigated in an unbounded orthotropic body with a cylindrical cavity. The surface of the cavity is restricted and exposed to a pulse-formed heat flow that dissolves exponentially. The characteristic thermal modulus of the material is assumed to be a linear function of temperature. The Laplace transform can be used to eliminate time dependency from control equations. Using a suitable approximate method, the transformed equations have been finally inverted by numerical inversion of the Laplace transform. Certain comparisons have been introduced to estimate the effects of the viscosity, pulsed heat, and thermal temperature-independent properties on all studied fields. A comparison with previous models of thermoelasticity is also performed in tables to verify the accuracy of the proposed model. We found from the results that the physical fields strongly depend on the viscoelastic parameter, the change of the thermal conductivity, and pulsed heat, so it is not possible to neglect their effect on the manufacturing process of machines and devices.Abouelregal Ahmed ElsayedAhmad HijazYao Shao-WenAbu-Zinadah HanaaDe Gruyterarticlethermo-viscoelasticityconstraintorthotropic cylindervariable thermal propertiesmgt modelPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 504-518 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	thermo-viscoelasticity constraint orthotropic cylinder variable thermal properties mgt model Physics QC1-999
spellingShingle	thermo-viscoelasticity constraint orthotropic cylinder variable thermal properties mgt model Physics QC1-999 Abouelregal Ahmed Elsayed Ahmad Hijaz Yao Shao-Wen Abu-Zinadah Hanaa Thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model
description	In the past few decades, many models have been proposed to address the shortcomings found in the classical theories of thermoelasticity and to allow limited speeds of heat waves. In this context, in the current paper a new generalized model of thermoelasticity based on the Moore–Gibson–Thompson (MGT) equation has been introduced. This new model can be derived by introducing the relaxation time factor into the third type of Green–Naghdi model (GN-III). In contrast to the previous works, it was taken into account that the physical properties of the material are dependent on temperature and on the viscous type. The viscoelastic medium has been assumed to obey the Kelvin–Voigt model. On the basis of the present model, thermo-viscoelastic interactions have been investigated in an unbounded orthotropic body with a cylindrical cavity. The surface of the cavity is restricted and exposed to a pulse-formed heat flow that dissolves exponentially. The characteristic thermal modulus of the material is assumed to be a linear function of temperature. The Laplace transform can be used to eliminate time dependency from control equations. Using a suitable approximate method, the transformed equations have been finally inverted by numerical inversion of the Laplace transform. Certain comparisons have been introduced to estimate the effects of the viscosity, pulsed heat, and thermal temperature-independent properties on all studied fields. A comparison with previous models of thermoelasticity is also performed in tables to verify the accuracy of the proposed model. We found from the results that the physical fields strongly depend on the viscoelastic parameter, the change of the thermal conductivity, and pulsed heat, so it is not possible to neglect their effect on the manufacturing process of machines and devices.
format	article
author	Abouelregal Ahmed Elsayed Ahmad Hijaz Yao Shao-Wen Abu-Zinadah Hanaa
author_facet	Abouelregal Ahmed Elsayed Ahmad Hijaz Yao Shao-Wen Abu-Zinadah Hanaa
author_sort	Abouelregal Ahmed Elsayed
title	Thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model
title_short	Thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model
title_full	Thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model
title_fullStr	Thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model
title_full_unstemmed	Thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model
title_sort	thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the mgt thermoelasticity model
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/627421a090634f7baa933cf011ef7573
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Thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model

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