<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

Published Online: Mar 02, 2019

Page range: 125 - 140

Received: Jan 30, 2018

Accepted: Feb 28, 2018

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

Keywords
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

Published Online: Mar 02, 2019

Page range: 125 - 140

Received: Jan 30, 2018

Accepted: Feb 28, 2018

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

Keywordsdipolar 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.

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