A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories

A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories

The aim of the present paper is to study the effect of rotation and magnetic field on the general model of the equations of generalized thermoelasticity for a homogeneous isotropic elastic half-space. The formulation is applied under four theories of generalized thermoelasticity: the coupled theory...

Full description

Bibliographic Details
Main Authors: S.M. Abo-Dahab, A.M. Abd-Alla, A.J. Alqarni
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379717309804
id doaj-50a10e11af6e4330a9f4e5b22715e91a
record_format Article
spelling doaj-50a10e11af6e4330a9f4e5b22715e91a2020-11-25T01:50:30ZengElsevierResults in Physics2211-37972017-01-01727422751A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theoriesS.M. Abo-Dahab0A.M. Abd-Alla1A.J. Alqarni2Mathematics Department, Faculty of Science, SVU, Qena 83523, Egypt; Mathematics Department, Faculty of Science, Taif University, 888, Saudi ArabiaMathematics Department, Faculty of Science, Sohag University, EgyptCorresponding author.; Mathematics Department, Faculty of Science, Taif University, 888, Saudi ArabiaThe aim of the present paper is to study the effect of rotation and magnetic field on the general model of the equations of generalized thermoelasticity for a homogeneous isotropic elastic half-space. The formulation is applied under four theories of generalized thermoelasticity: the coupled theory (CT), Lord-Schulman (LS) theory, Green-Lindsay (GL) theory as well as Green-Naghdi (GN) theory. By employing normal mode analysis, the analytical expressions for the temperature, displacement components and the (Mechanical and Maxwell’s) stresses distribution are obtained in the physical domain. These expressions are also calculated numerically and corresponding graphs are plotted to illustrate and compare theoretical results. The effect of rotation and magnetic field are also studied. Keywords: Two dimensional, Rotation, Magnetic field, Generalized-thermoelastic, Normal mode analysishttp://www.sciencedirect.com/science/article/pii/S2211379717309804
collection DOAJ
language English
format Article
sources DOAJ
author S.M. Abo-Dahab
A.M. Abd-Alla
A.J. Alqarni
spellingShingle S.M. Abo-Dahab
A.M. Abd-Alla
A.J. Alqarni
A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories
Results in Physics
author_facet S.M. Abo-Dahab
A.M. Abd-Alla
A.J. Alqarni
author_sort S.M. Abo-Dahab
title A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories
title_short A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories
title_full A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories
title_fullStr A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories
title_full_unstemmed A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories
title_sort two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2017-01-01
description The aim of the present paper is to study the effect of rotation and magnetic field on the general model of the equations of generalized thermoelasticity for a homogeneous isotropic elastic half-space. The formulation is applied under four theories of generalized thermoelasticity: the coupled theory (CT), Lord-Schulman (LS) theory, Green-Lindsay (GL) theory as well as Green-Naghdi (GN) theory. By employing normal mode analysis, the analytical expressions for the temperature, displacement components and the (Mechanical and Maxwell’s) stresses distribution are obtained in the physical domain. These expressions are also calculated numerically and corresponding graphs are plotted to illustrate and compare theoretical results. The effect of rotation and magnetic field are also studied. Keywords: Two dimensional, Rotation, Magnetic field, Generalized-thermoelastic, Normal mode analysis
url http://www.sciencedirect.com/science/article/pii/S2211379717309804
work_keys_str_mv AT smabodahab atwodimensionalproblemwithrotationandmagneticfieldinthecontextoffourthermoelastictheories
AT amabdalla atwodimensionalproblemwithrotationandmagneticfieldinthecontextoffourthermoelastictheories
AT ajalqarni atwodimensionalproblemwithrotationandmagneticfieldinthecontextoffourthermoelastictheories
AT smabodahab twodimensionalproblemwithrotationandmagneticfieldinthecontextoffourthermoelastictheories
AT amabdalla twodimensionalproblemwithrotationandmagneticfieldinthecontextoffourthermoelastictheories
AT ajalqarni twodimensionalproblemwithrotationandmagneticfieldinthecontextoffourthermoelastictheories
_version_ 1725001593110134784

Similar Items