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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, Volume 15, Issue 4, Pages 451–461
DOI: https://doi.org/10.18500/1816-9791-2015-15-4-451-461
(Mi isu613)
 

This article is cited in 2 scientific papers (total in 3 papers)

Mechanics

Micropolar thermoelastic continuum models with constrained microstructural parameters

V. A. Kovaleva, Yu. N. Radayevb

a Moscow City Government University of Management, 28, Sretenka st., 107045, Moscow, Russia
b Institute for Problems in Mechanics of RAS, 101, Vernadskogo ave., 119526, Moscow, Russia
Full-text PDF (201 kB) Citations (3)
References:
Abstract: A new micropolar thermoelastic continuum model forrmulated by microstructural $d$-vectors and $d$-tensors of an arbitrary ranks is proposed. The microstructural vectorial and tensorial extra-field variables are restricted by holonomic or non-holonomic (differential) constraints. The study is carried out in the framework of the Lagrange field formalism as a $4$covariant field theory. Taking into consideration of holonomic or differential constraints involving microstructural parameters implies problem formulation as a problem of calculus of variations with constraints, namely as the variational Lagrange problem. The Lagrange multipliers technique is employed for derivation of field equations when microstructural parameters are restricted by the two types of constraints. Micropolar thermoelastic continuum model for the case of rigid rotations of the micropolar trihedron is considered as an example.
Key words: thermoelasticity, microstructure, micropolar continuum, field, action, $d$-tensor, constraint, Lagrange multiplier.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00139
The present work was partially supported by the Russian Foundation for Basic Research (project no. 13-01-00139 “Hyperbolic thermal waves in solids with microstructure”).
Bibliographic databases:
Document Type: Article
UDC: 539.374
Language: Russian
Citation: V. A. Kovalev, Yu. N. Radayev, “Micropolar thermoelastic continuum models with constrained microstructural parameters”, Izv. Saratov Univ. Math. Mech. Inform., 15:4 (2015), 451–461
Citation in format AMSBIB
\Bibitem{KovRad15}
\by V.~A.~Kovalev, Yu.~N.~Radayev
\paper Micropolar thermoelastic continuum models with constrained microstructural parameters
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2015
\vol 15
\issue 4
\pages 451--461
\mathnet{http://mi.mathnet.ru/isu613}
\crossref{https://doi.org/10.18500/1816-9791-2015-15-4-451-461}
\elib{https://elibrary.ru/item.asp?id=25360661}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Full-text PDF :93
    References:60
     
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