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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Murashkin E.V. Generalized Nye figures for ultrahemitropic and ultraisotropic micropolar elastic solids // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2024. № 3(61). p. 140-153
Author(s):Murashkin E.V.
Index of UDK:539.374
DOI:10.37972/chgpu.2024.61.3.010
Title:Generalized Nye figures for ultrahemitropic and ultraisotropic micropolar elastic solids
Keywords:micropolar medium, elastic potential, constitutive tensor, hemitropic micropolar solid, ultrahemitropy, ultraisotropy, Nye figure, matrix representation
Abstracts: In present paper, the construction of Nye figures for micropolar solids is discussed. A general anisotropic micropolar elastic solid is reduced to a hemitropic, then to an ultrahemitropic, and finally to an ultraisotropic micropolar solid. The constitutive tensors of the fourth rank are transformed to a two-dimensional matrix form. The final Nye figures for the considered micropolar solids are obtained by combining the elementary figures for the constitutive tensors. We obtain Nye figures that graphically represent a hemitropic, ultrahemitropic, and ultraisotropic micropolar elastic solid and the couples between the components of the asymmetric constitutive tensors.
The contact details of authors:Evgenii V. Murashkin, Cand. Sci. Phys. & Math., MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; e-mail: evmurashkin@gmail.ru; https://orcid.org/0000-0002-3267-4742; AuthorID: 129570
Pages:140-153
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