Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


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Metadata (abstracts and keywords) for the articles in the journal

E. V. Murashkin, Yu. N. Radayev Pseudovector hyperbolic differential operators of hemitropic micropolar elasticity // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2021. № 4(50). p. 59-72
Author(s):E. V. Murashkin, Yu. N. Radayev
Index of UDK:539.374
DOI:10.37972/chgpu.2021.50.4.005
Title:Pseudovector hyperbolic differential operators of hemitropic micropolar elasticity
Keywords:

pseudotensor, fundamental orienting pseudoscalar, constitutive pseudoscalar, micropolar hemitropic continum, differential operator

Abstracts:

The paper deals with the derivations and transformations of differential operators related to the hemitropic micropolar elastic model under mirror reflections. The requisite equations from algebra of pseudotensors are given. Dynamic differential equations for a hemitropic micropolar elastic solid with 9 constituve pseudoscalars are derived in terms of pseudotensors. Pseudovector hyperbolic differential operator forms caused by different coordinate net orientations are obtained and discussed. The properties of differential operators for isotropic micropolar elasticity are discussed. Mirror reflection transformations of the differential operators are considered.

The contact details of authors:

Evgenii V. Murashkin, Cand. Sc., PhD, MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences,

101, korp. 1, pr. Vernadskogo, Moscow, 119526, Russian Federation.

Yuri N. Radayev, D. Sc., PhD, MSc, Professor of Continuum Mechanics, Leading Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, 101, korp. 1, pr. Vernadskogo, Moscow, 119526, Russian Federation.

Pages:59-72
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