Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium

The article is presented to enhance our knowledge about the propagation of Lamb waves in the layer of a viscoelastic transversely isotropic medium in the context of thermoelasticity with GN theory of type-II and III. Secular equations for symmetric and skew-symmetric modes of wave propagation in com...

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Main Author: R.R. Gupta
Format: Article
Language:English
Published: University of Zielona Góra 2016-02-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Propagation-of-waves-in-the-layer-of-a-thermo-viscoelastic-transversely-isotropic,167139,0,2.html
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author R.R. Gupta
R.R. Gupta
author_facet R.R. Gupta
R.R. Gupta
author_sort R.R. Gupta
collection DOAJ
description The article is presented to enhance our knowledge about the propagation of Lamb waves in the layer of a viscoelastic transversely isotropic medium in the context of thermoelasticity with GN theory of type-II and III. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for cobalt and the dispersion curves, amplitudes of displacements and temperature distribution for symmetric and skew-symmetric wave modes are presented to evince the effect of anisotropy. Some particular cases are also deduced.
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spelling doaj.art-c3c4592ac1354364aac4e50955459b3d2023-08-08T14:47:07ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032016-02-01211213510.1515/ijame-2016-0002167139Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic mediumR.R. Gupta0R.R. Gupta1Department of CS&IT, Mazoon College, Muscat, Sultanate of Oman, OMANDepartment of Mathematics and Applied Sciences MEC, Muscat, Sultanate of Oman, OMANThe article is presented to enhance our knowledge about the propagation of Lamb waves in the layer of a viscoelastic transversely isotropic medium in the context of thermoelasticity with GN theory of type-II and III. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for cobalt and the dispersion curves, amplitudes of displacements and temperature distribution for symmetric and skew-symmetric wave modes are presented to evince the effect of anisotropy. Some particular cases are also deduced.https://www.ijame-poland.com/Propagation-of-waves-in-the-layer-of-a-thermo-viscoelastic-transversely-isotropic,167139,0,2.htmlviscoelasticthermoelasticityphase velocity transversely isotropic
spellingShingle R.R. Gupta
R.R. Gupta
Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium
International Journal of Applied Mechanics and Engineering
viscoelastic
thermoelasticity
phase velocity transversely isotropic
title Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium
title_full Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium
title_fullStr Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium
title_full_unstemmed Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium
title_short Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium
title_sort propagation of waves in the layer of a thermo viscoelastic transversely isotropic medium
topic viscoelastic
thermoelasticity
phase velocity transversely isotropic
url https://www.ijame-poland.com/Propagation-of-waves-in-the-layer-of-a-thermo-viscoelastic-transversely-isotropic,167139,0,2.html
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