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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, 2021, Volume 25, Number 3, Pages 457–474
DOI: https://doi.org/10.14498/vsgtu1870
(Mi vsgtu1870)
 

This article is cited in 8 scientific papers (total in 8 papers)

Mechanics of Solids

On the constitutive pseudoscalars of hemitropic micropolar media in inverse coordinate frames

E. V. Murashkin, Yu. N. Radayev

Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The paper is devoted to the constitutive pseudoscalars associated with the theory of hemitropic micropolar continuum. The basic concepts of pseudotensor algebra are presented. The pseudotensor form of the hemitropic micropolar elastic potential is given, based on 9 constitutive pseudoscalars (3 are pseudoscalars and 6 are absolute scalars). The weights of the constitutive pseudoscalars are calculated. The fundamental orienting pseudoscalar of weight \(+1\) is used to formulate transformation rules for constitutive pseudoscalars. The governing equations of the hemitropic micropolar elastic continuum are derived. The equations of the dynamics of the hemitropic micropolar continuum are discussed in terms of pseudotensors in right- and left-handed Cartesian coordinate systems. The presence of inverse modes along with normal ones is shown for wave propagation across the hemitropic micropolar continuum.
Keywords: micropolar hemitropic continuum, microrotation, pseudoscalar, relative tensor, fundamental orienting pseudoscalar, inversion of space, polarisation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation АААА-А20-120011690132-4
Russian Foundation for Basic Research 19-51-60001
20-01-00666
This study was supported by the Ministry of Science and Higher Education of the Russian Federation (State Registration Number AAAA–A20–120011690132–4) and by the Russian Foundation for Basic Research (projects nos. 18–01–00844, 20–01–00666).
Received: June 23, 2021
Revised: July 29, 2021
Accepted: August 25, 2021
First online: September 27, 2021
Bibliographic databases:
Document Type: Article
UDC: 539.3
MSC: 15A72, 53A45, 74D05
Language: Russian
Citation: E. V. Murashkin, Yu. N. Radayev, “On the constitutive pseudoscalars of hemitropic micropolar media in inverse coordinate frames”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:3 (2021), 457–474
Citation in format AMSBIB
\Bibitem{MurRad21}
\by E.~V.~Murashkin, Yu.~N.~Radayev
\paper On the constitutive pseudoscalars of hemitropic micropolar media in inverse coordinate frames
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2021
\vol 25
\issue 3
\pages 457--474
\mathnet{http://mi.mathnet.ru/vsgtu1870}
\crossref{https://doi.org/10.14498/vsgtu1870}
\zmath{https://zbmath.org/?q=an:7499954}
\elib{https://elibrary.ru/item.asp?id=46801517}
\edn{https://elibrary.ru/XYERLC}
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  • https://www.mathnet.ru/eng/vsgtu/v225/i3/p457
  • This publication is cited in the following 8 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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    Full-text PDF :144
    References:36
     
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