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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E.V. Murashkin On a method of constructing nye figures for asymmetric theories of demitropic micropolar elasticity // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2023. № 3(57). p. 100-111
Author(s):E.V. Murashkin
Index of UDK:539.374
DOI:10.37972/chgpu.2023.57.3.009
Title:On a method of constructing nye figures for asymmetric theories of demitropic micropolar elasticity
Keywords:pseudotensor, micropolar medium, elastic potential, defining pseudotensor, demitropic micropolar continuum, Nye figure, matrix representation
Abstracts:In this work, the process of constructing two-dimensional figures is modified for asymmetric matrices and is used to represent the defining pseudotensors of demitropic micropolar elastic continua. The specified matrix representations are used to simplify the tensor representation of the dynamic equations. This method allows us to represent tensors and pseudotensors of the fourth and second ranks in the form of peculiar two-dimensional figures. A matrix form is obtained that defines the basis of a demitropic micropolar elastic body. The main presentation of the article is carried out in a Cartesian rectangular coordinate system.
The contact details of authors:Murashkin Evgenii Valeryevich, Cand. Sc., PhD, MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia.
Pages:100-111
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