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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2020 Volume 24, Number 4, Pages 752–761 (Mi vsgtu1799)

This article is cited in 20 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

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.

UDC: 539.3

MSC: 74A20, 74A35, 74A60

Received: July 16, 2020
Revised: October 17, 2020
Accepted: November 16, 2020
First online: November 22, 2020

Language: English

DOI: 10.14498/vsgtu1799



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