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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2019, Volume 23, Number 3, Pages 464–474
DOI: https://doi.org/10.14498/vsgtu1689
(Mi vsgtu1689)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mechanics of Solids

On plane thermoelastic waves in hemitropic micropolar continua

Yu. N. Radayeva, V. A. Kovalevb

a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 107045, Russian Federation
b Moscow City Government University of Management Moscow, Moscow, 107045, Russian Federation
Full-text PDF (951 kB) Citations (2)
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Abstract: The paper deals with the coupled heat transport and dynamic equations of the hemitropic thermoelastic micropolar continuum formulated in terms of displacements, microrotations and temperature increment which are to be determined in applied problems. The mechanism of thermal conductivity is considered as simple thermodiffusion. Hemitropic constitutive constants are reduced to a minimum set nevertheless retaining hemitropic constitutive behaviour and thermoelastic semi-isotropy. Solutions of thermoelastic coupled equations in the form of propagating plane waves are studied. Their spatial polarizations are determined. An algebraic bicubic equation for the determination of wavenumbers is obtained. It is found that for a coupled thermoelastic wave actually there are exactly three normal complex wavenumbers. Athermal wave is also investigated. Spatial polarizations in this case form (together with the wave vector) a spatial trihedron of mutually orthogonal directions. For an athermal wave there are (depending on the case) either two real normal wavenumbers or single wavenumber.
Keywords: hemitropic, micropolar, thermoelastic, plane wave, wavenumber, polarization, complex amplitude, athermal wave.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00844_а
Ministry of Science and Higher Education of the Russian Federation AAAA-A17-117021310381-8
This study was in part financially supported by the Ministry of Science and Higher Education (State Registration Number AAAA–A17–117021310381–8) and by the Russian Foundation for Basic Research (project no. 18–01–00844_a).
Received: April 11, 2019
Revised: August 3, 2019
Accepted: August 26, 2019
First online: September 2, 2019
Bibliographic databases:
Document Type: Article
UDC: 539.3
MSC: 74A60, 74F05
Language: English
Citation: Yu. N. Radayev, V. A. Kovalev, “On plane thermoelastic waves in hemitropic micropolar continua”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:3 (2019), 464–474
Citation in format AMSBIB
\Bibitem{RadKov19}
\by Yu.~N.~Radayev, V.~A.~Kovalev
\paper On plane thermoelastic waves in hemitropic micropolar~continua
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2019
\vol 23
\issue 3
\pages 464--474
\mathnet{http://mi.mathnet.ru/vsgtu1689}
\crossref{https://doi.org/10.14498/vsgtu1689}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000495077200005}
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  • https://www.mathnet.ru/eng/vsgtu/v223/i3/p464
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:41
     
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