Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory

Abstract This work aims to study the influence of the rotation on a thermoelastic solid sphere in the context of the hyperbolic two-temperature generalized thermoelasticity theory based on the mechanical damage consideration. Therefore, a mathematical model of thermoelastic, homogenous, and isotropi...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Hamdy M. Youssef, Alaa A. El-Bary, Eman A. N. Al-Lehaibi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b9412365fd534a3fac617a3b2e70a264
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:b9412365fd534a3fac617a3b2e70a264
record_format	dspace
spelling	oai:doaj.org-article:b9412365fd534a3fac617a3b2e70a2642021-12-02T14:16:06ZThermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory10.1038/s41598-021-82127-12045-2322https://doaj.org/article/b9412365fd534a3fac617a3b2e70a2642021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-82127-1https://doaj.org/toc/2045-2322Abstract This work aims to study the influence of the rotation on a thermoelastic solid sphere in the context of the hyperbolic two-temperature generalized thermoelasticity theory based on the mechanical damage consideration. Therefore, a mathematical model of thermoelastic, homogenous, and isotropic solid sphere with a rotation based on the mechanical damage definition has been constructed. The governing equations have been written in the context of hyperbolic two-temperature generalized thermoelasticity theory. The bounding surface of the sphere is thermally shocked and without volumetric deformation. The singularities of the studied functions at the center of the sphere have been deleted using L’Hopital’s rule. The numerical results have been represented graphically with various mechanical damage values, two-temperature parameters, and rotation parameter values. The two-temperature parameter has significant effects on all the studied functions. Damage and rotation have a major impact on deformation, displacement, stress, and stress–strain energy, while their effects on conductive and dynamical temperature rise are minimal. The thermal and mechanical waves propagate with finite speeds on the thermoelastic body in the hyperbolic two-temperature theory and the one-temperature theory (Lord-Shulman model).Hamdy M. YoussefAlaa A. El-BaryEman A. N. Al-LehaibiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-19 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Hamdy M. Youssef Alaa A. El-Bary Eman A. N. Al-Lehaibi Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory
description	Abstract This work aims to study the influence of the rotation on a thermoelastic solid sphere in the context of the hyperbolic two-temperature generalized thermoelasticity theory based on the mechanical damage consideration. Therefore, a mathematical model of thermoelastic, homogenous, and isotropic solid sphere with a rotation based on the mechanical damage definition has been constructed. The governing equations have been written in the context of hyperbolic two-temperature generalized thermoelasticity theory. The bounding surface of the sphere is thermally shocked and without volumetric deformation. The singularities of the studied functions at the center of the sphere have been deleted using L’Hopital’s rule. The numerical results have been represented graphically with various mechanical damage values, two-temperature parameters, and rotation parameter values. The two-temperature parameter has significant effects on all the studied functions. Damage and rotation have a major impact on deformation, displacement, stress, and stress–strain energy, while their effects on conductive and dynamical temperature rise are minimal. The thermal and mechanical waves propagate with finite speeds on the thermoelastic body in the hyperbolic two-temperature theory and the one-temperature theory (Lord-Shulman model).
format	article
author	Hamdy M. Youssef Alaa A. El-Bary Eman A. N. Al-Lehaibi
author_facet	Hamdy M. Youssef Alaa A. El-Bary Eman A. N. Al-Lehaibi
author_sort	Hamdy M. Youssef
title	Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory
title_short	Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory
title_full	Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory
title_fullStr	Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory
title_full_unstemmed	Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory
title_sort	thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/b9412365fd534a3fac617a3b2e70a264
work_keys_str_mv	AT hamdymyoussef thermalstressanalysisofadamagedsolidsphereusinghyperbolictwotemperaturegeneralizedthermoelasticitytheory AT alaaaelbary thermalstressanalysisofadamagedsolidsphereusinghyperbolictwotemperaturegeneralizedthermoelasticitytheory AT emananallehaibi thermalstressanalysisofadamagedsolidsphereusinghyperbolictwotemperaturegeneralizedthermoelasticitytheory
_version_	1718391747824844800

Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory

Ejemplares similares