<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The present article deals with the two parts: (i) The propagation of plane waves in a microstretch thermoelastic diffusion solid of infinite extent. (ii) The reflection and transmission of plane waves at a plane interface between inviscid fluid half-space and micropolar thermoelastic diffusion solid half-space. It is found that for two-dimensional model, there exist four coupled longitudinal waves, that is, longitudinal displacement wave (LD), thermal wave (T), mass diffusion wave (MD) and longitudinal microstretch wave (LM) and two coupled transverse waves namely (CD-I and CD-II waves). The phase velocity, attenuation coefficient, specific loss and penetration depth are computed numerically and depicted graphically. In the second part, it is noticed that the amplitude ratios of various reflected and transmitted waves are functions of angle of incidence, frequency of incident wave and are influenced by the microstretch thermoelastic diffusion properties of the media. The expressions of amplitude ratios and energy ratios are obtained in closed form. The energy ratios have been computed numerically for a particular model. The variations of energy ratios with angle of incidence for thermoelastic diffusion media in the context of Lord-Shulman (L-S) [<xref ref-type="bibr" rid="j_auom-2015-0010_ref_001_w2aab2b8b7b1b7b1ab1ab1Aa">1</xref>] and Green-Lindsay (G-L) [<xref ref-type="bibr" rid="j_auom-2015-0010_ref_002_w2aab2b8b7b1b7b1ab1ab2Aa">2</xref>] theories are depicted graphically. Some particular cases are also deduced from the present investigation.</p></abstract>

The present article deals with the two parts: (i) The propagation of plane waves in a microstretch thermoelastic diffusion solid of infinite extent. (ii) The reflection and transmission of plane waves at a plane interface between inviscid fluid half-space and micropolar thermoelastic diffusion solid half-space. It is found that for two-dimensional model, there exist four coupled longitudinal waves, that is, longitudinal displacement wave (LD), thermal wave (T), mass diffusion wave (MD) and longitudinal microstretch wave (LM) and two coupled transverse waves namely (CD-I and CD-II waves). The phase velocity, attenuation coefficient, specific loss and penetration depth are computed numerically and depicted graphically. In the second part, it is noticed that the amplitude ratios of various reflected and transmitted waves are functions of angle of incidence, frequency of incident wave and are influenced by the microstretch thermoelastic diffusion properties of the media. The expressions of amplitude ratios and energy ratios are obtained in closed form. The energy ratios have been computed numerically for a particular model. The variations of energy ratios with angle of incidence for thermoelastic diffusion media in the context of Lord-Shulman (L-S) [1] and Green-Lindsay (G-L) [2] theories are depicted graphically. Some particular cases are also deduced from the present investigation.

Wave propagation in a microstretch thermoelastic diffusion solid

Department of Mathematics, Kurukshetra University, Kurukshetra-136 119,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"Wave propagation in a microstretch thermoelastic diffusion solid"}

The present article deals with the two parts: (i) The propagation of plane waves in a microstretch thermoelastic diffusion solid of infinite extent. (ii) The...

Wave propagation in a microstretch thermoelastic diffusion solid

Published Online: Apr 04, 2017

Page range: 127 - 170

Received: Apr 28, 2014

Accepted: Jun 28, 2014

DOI: https://doi.org/10.1515/auom-2015-0010

Keywords
Microstretch, Phase velocity, Attenuation coefficient, Specific loss, Penetration depth, Reflection, Transmission, Energy ratios

© 2015 Rajneesh Kumar, published by De Gruyter Open

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

Wave propagation in a microstretch thermoelastic diffusion solid

Published Online: Apr 04, 2017

Page range: 127 - 170

Received: Apr 28, 2014

Accepted: Jun 28, 2014

DOI: https://doi.org/10.1515/auom-2015-0010

KeywordsMicrostretch, Phase velocity, Attenuation coefficient, Specific loss, Penetration depth, Reflection, Transmission, Energy ratios

© 2015 Rajneesh Kumar, published by De Gruyter Open

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

Keywords
Microstretch, Phase velocity, Attenuation coefficient, Specific loss, Penetration depth, Reflection, Transmission, Energy ratios