Two-dimensional generalized thermo-elastic problem for anisotropic half-space

This paper concerns with the study of wave propagation in fibre reinforced anisotropic half space under the influence of temperature and hydrostatic initial stress. Lord-Shulman theory is applied to the heat conduction equation. The resulting equations are written in the form of vector matrix differ...

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Main Authors: Debkumar Ghosh, Abhijit Lahiri, Ibrahim A. Abbas
Format: Article
Language:English
Published: JVE International 2017-06-01
Series:Mathematical Models in Engineering
Subjects:
Online Access:https://www.jvejournals.com/article/18236
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spelling doaj-0e80e71679874f31ae215d1bdbce7fb32020-11-25T01:32:48ZengJVE InternationalMathematical Models in Engineering2351-52792424-46272017-06-0131274010.21595/mme.2017.1823618236Two-dimensional generalized thermo-elastic problem for anisotropic half-spaceDebkumar Ghosh0Abhijit Lahiri1Ibrahim A. Abbas2Department of Mathematics, Jadavpur University, Kolkata, 700032, IndiaDepartment of Mathematics, Jadavpur University, Kolkata, 700032, IndiaDepartment of Mathematics, Sohag University, Sohag, EgyptThis paper concerns with the study of wave propagation in fibre reinforced anisotropic half space under the influence of temperature and hydrostatic initial stress. Lord-Shulman theory is applied to the heat conduction equation. The resulting equations are written in the form of vector matrix differential equation by using Normal Mode technique, finally which is solved by Eigen value approach.https://www.jvejournals.com/article/18236eigenvaluegeneralized thermoelasticitynormal modevector-matrix differential equation
collection DOAJ
language English
format Article
sources DOAJ
author Debkumar Ghosh
Abhijit Lahiri
Ibrahim A. Abbas
spellingShingle Debkumar Ghosh
Abhijit Lahiri
Ibrahim A. Abbas
Two-dimensional generalized thermo-elastic problem for anisotropic half-space
Mathematical Models in Engineering
eigenvalue
generalized thermoelasticity
normal mode
vector-matrix differential equation
author_facet Debkumar Ghosh
Abhijit Lahiri
Ibrahim A. Abbas
author_sort Debkumar Ghosh
title Two-dimensional generalized thermo-elastic problem for anisotropic half-space
title_short Two-dimensional generalized thermo-elastic problem for anisotropic half-space
title_full Two-dimensional generalized thermo-elastic problem for anisotropic half-space
title_fullStr Two-dimensional generalized thermo-elastic problem for anisotropic half-space
title_full_unstemmed Two-dimensional generalized thermo-elastic problem for anisotropic half-space
title_sort two-dimensional generalized thermo-elastic problem for anisotropic half-space
publisher JVE International
series Mathematical Models in Engineering
issn 2351-5279
2424-4627
publishDate 2017-06-01
description This paper concerns with the study of wave propagation in fibre reinforced anisotropic half space under the influence of temperature and hydrostatic initial stress. Lord-Shulman theory is applied to the heat conduction equation. The resulting equations are written in the form of vector matrix differential equation by using Normal Mode technique, finally which is solved by Eigen value approach.
topic eigenvalue
generalized thermoelasticity
normal mode
vector-matrix differential equation
url https://www.jvejournals.com/article/18236
work_keys_str_mv AT debkumarghosh twodimensionalgeneralizedthermoelasticproblemforanisotropichalfspace
AT abhijitlahiri twodimensionalgeneralizedthermoelasticproblemforanisotropichalfspace
AT ibrahimaabbas twodimensionalgeneralizedthermoelasticproblemforanisotropichalfspace
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