Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model

In this work, the thermo-diffusions interaction in an unbounded material with spherical cavities in the context dual phase lag model is investigated. The finite element technique has been used to solve the problem. The bounding surface of the inner hole is loaded thermally by external heat flux and...

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Autores principales:	Aatef D. Hobiny, Ibrahim A. Abbas
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	finite element analysis dual phase lag model thermo-diffusions Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/e71a371561264463b6a36d8a82b132d9
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id	oai:doaj.org-article:e71a371561264463b6a36d8a82b132d9
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spelling	oai:doaj.org-article:e71a371561264463b6a36d8a82b132d92021-11-11T18:19:24ZFinite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model10.3390/math92127822227-7390https://doaj.org/article/e71a371561264463b6a36d8a82b132d92021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2782https://doaj.org/toc/2227-7390In this work, the thermo-diffusions interaction in an unbounded material with spherical cavities in the context dual phase lag model is investigated. The finite element technique has been used to solve the problem. The bounding surface of the inner hole is loaded thermally by external heat flux and is traction-free. The delay times caused in the microstructural interactions, the requirement for thermal physics to take account of hyperbolic effects within the medium, and the phase lags of chemical potential and diffusing mass flux vector are interpreted. A comparison is made in the case of the presence and the absence of mass diffusions between coupled, Lord-Shulman and dual phase lag theories. The numerical results for the displacement, concentration, temperature, chemical potential and stress are presented numerically and graphically.Aatef D. HobinyIbrahim A. AbbasMDPI AGarticlefinite element analysisdual phase lag modelthermo-diffusionsMathematicsQA1-939ENMathematics, Vol 9, Iss 2782, p 2782 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	finite element analysis dual phase lag model thermo-diffusions Mathematics QA1-939
spellingShingle	finite element analysis dual phase lag model thermo-diffusions Mathematics QA1-939 Aatef D. Hobiny Ibrahim A. Abbas Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model
description	In this work, the thermo-diffusions interaction in an unbounded material with spherical cavities in the context dual phase lag model is investigated. The finite element technique has been used to solve the problem. The bounding surface of the inner hole is loaded thermally by external heat flux and is traction-free. The delay times caused in the microstructural interactions, the requirement for thermal physics to take account of hyperbolic effects within the medium, and the phase lags of chemical potential and diffusing mass flux vector are interpreted. A comparison is made in the case of the presence and the absence of mass diffusions between coupled, Lord-Shulman and dual phase lag theories. The numerical results for the displacement, concentration, temperature, chemical potential and stress are presented numerically and graphically.
format	article
author	Aatef D. Hobiny Ibrahim A. Abbas
author_facet	Aatef D. Hobiny Ibrahim A. Abbas
author_sort	Aatef D. Hobiny
title	Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model
title_short	Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model
title_full	Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model
title_fullStr	Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model
title_full_unstemmed	Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model
title_sort	finite element analysis of thermal-diffusions problem for unbounded elastic medium containing spherical cavity under dpl model
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/e71a371561264463b6a36d8a82b132d9
work_keys_str_mv	AT aatefdhobiny finiteelementanalysisofthermaldiffusionsproblemforunboundedelasticmediumcontainingsphericalcavityunderdplmodel AT ibrahimaabbas finiteelementanalysisofthermaldiffusionsproblemforunboundedelasticmediumcontainingsphericalcavityunderdplmodel
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Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model

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