<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This study is concerned with the theory of thermoelasticity of type III proposed by Green and Naghdi, which is extended to cover the bodies with dipolar structure. In this context we construct a boundary value problem for a prismatic bar which is subjected to some harmonic in time vibrations. For the oscillations whose amplitudes have the frequency lower than a critical value, we deduce some estimates for describing the spatial behavior.</p></abstract>

This study is concerned with the theory of thermoelasticity of type III proposed by Green and Naghdi, which is extended to cover the bodies with dipolar structure. In this context we construct a boundary value problem for a prismatic bar which is subjected to some harmonic in time vibrations. For the oscillations whose amplitudes have the frequency lower than a critical value, we deduce some estimates for describing the spatial behavior.

On vibrations in Green-Naghdi thermoelasticity of dipolar bodies

Department of Mathematics and Computer Science

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On vibrations in Green-Naghdi thermoelasticity of dipolar bodies"}

This study is concerned with the theory of thermoelasticity of type III proposed by Green and Naghdi, which is extended to cover the bodies with dipolar...

On vibrations in Green-Naghdi thermoelasticity of dipolar bodies

Publié en ligne: 02 mars 2019

Pages: 125 - 140

Reçu: 30 janv. 2018

Accepté: 28 févr. 2018

DOI: https://doi.org/10.2478/auom-2019-0007

Mots clés
dipolar bodies, Green-Naghdi thermoelasticity, G-N type III, harmonic vibrations, spatial decay

© 2019 M. Marin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On vibrations in Green-Naghdi thermoelasticity of dipolar bodies

Publié en ligne: 02 mars 2019

Pages: 125 - 140

Reçu: 30 janv. 2018

Accepté: 28 févr. 2018

DOI: https://doi.org/10.2478/auom-2019-0007

Mots clésdipolar bodies, Green-Naghdi thermoelasticity, G-N type III, harmonic vibrations, spatial decay

© 2019 M. Marin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
dipolar bodies, Green-Naghdi thermoelasticity, G-N type III, harmonic vibrations, spatial decay