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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2020, Volume 24, Number 4, Pages 752–761
DOI: https://doi.org/10.14498/vsgtu1799 (Mi vsgtu1799) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Short Communication
Mechanics of Solids

On the Neuber theory of micropolar elasticity. A pseudotensor formulation

V. A. Kovaleva, E. V. Murashkinb, Yu. N. Radayevb

a Moscow Metropolitan Governance Yury Luzhkov University, Moscow, 107045, Russian Federation
b Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russian Federation
Full-text PDF (875 kB) Citations (22)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1799
Abstract: The present paper deals with a pseudotensor formulation of the Neuber theory of micropolar elasticity. The dynamic equations of the micropolar continuum in terms of relative tensors (pseudotensors) are presented and discussed. The constitutive equations for a linear isotropic micropolar solid is given in the pseudotensor form. The final forms of the dynamic equations for the isotropic micropolar continuum in terms of displacements and microrotations are obtained in terms of relative tensors. The refinements of Neuber's dynamic equations are discussed. Those are also considered in the cylindrical coordinate net.
Keywords: micropolarity, elasticity, continuum, microrotation, pseudoscalar, relative tensor, weight, constitutive equation.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations АААА-А20-120011690132-4
Russian Foundation for Basic Research 18-51-00844
20-01-00666
This study was in part financially 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: July 16, 2020
Revised: October 17, 2020
Accepted: November 16, 2020
First online: November 22, 2020
Bibliographic databases:
Document Type: Article
UDC: 539.3
MSC: 74A20, 74A35, 74A60
Language: English
Citation: V. A. Kovalev, E. V. Murashkin, Yu. N. Radayev, “On the Neuber theory of micropolar elasticity. A pseudotensor formulation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:4 (2020), 752–761
Citation in format AMSBIB
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\by V.~A.~Kovalev, E.~V.~Murashkin, Yu.~N.~Radayev
\paper On the Neuber theory of micropolar elasticity. A~pseudotensor formulation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2020
\vol 24
\issue 4
\pages 752--761
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    • This publication is cited in the following 22 articles:
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