Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 6, Pages 59–62 (Mi vmumm741)  
This article is cited in 1 scientific paper (total in 1 paper)

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Relation between the stress and couple-stress tensors in the microcontinuum theory of elasticity

M. U. Nikabadze

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (301 kB) Citations (1)
Abstract: The stress tensor is expressed in terms of an arbitrary symmetric tensor field of second rank and the couple-stress tensor. The stress and couple-stress tensors are represented through arbitrary tensor fields satisfying the homogeneous equilibrium equations. These tensors are also given in the form of expressions satisfying the inhomogeneous equilibrium equations of the microcontinual elasticity theory. The stress tensor functions are introduced.
Key words: microcontinual theory, stress tensor, couple-stress tensor, stress tensor functions.
Funding agency Grant number
Russian Foundation for Basic Research 08-01-00231-a
08-01-00353-а
Received: 29.06.2010
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: M. U. Nikabadze, “Relation between the stress and couple-stress tensors in the microcontinuum theory of elasticity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 6, 59–62
Citation in format AMSBIB
\Bibitem{Nik11}
\by M.~U.~Nikabadze
\paper Relation between the stress and couple-stress tensors in the microcontinuum theory of elasticity
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 6
\pages 59--62
\mathnet{http://mi.mathnet.ru/vmumm741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2964329}
\zmath{https://zbmath.org/?q=an:06774433}
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