On the Neuber theory of micropolar elasticity. A pseudotensor formulation

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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.

About the authors

Vladimir Aleksandrovich Kovalev

Moscow City Government University of Management Moscow

Email: vlad_koval@mail.ru, kovalev.kam@gmail.com
Doctor of physico-mathematical sciences, Professor

Eugenii Valeryevich Murashkin

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Email: murashkin@dvo.ru, murashkin@ipmnet.ru, evmurashkin@gmail.com
Candidate of physico-mathematical sciences, no status

Yuri Nikolaevich Radayev

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Email: y.radayev@gmail.com, radayev@ipmnet.ru
Doctor of physico-mathematical sciences, Professor

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