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This article is cited in 21 scientific papers (total in 21 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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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.
Received: July 16, 2020 Revised: October 17, 2020 Accepted: November 16, 2020 First online: November 22, 2020
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
Linking options:
https://www.mathnet.ru/eng/vsgtu1799 https://www.mathnet.ru/eng/vsgtu/v224/i4/p752
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