 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 58, Issue 6 / 2023 | Next article >> |
| E.V. Murashkin and Y.N. Radayev, "Two-Dimensional Nye Figures for Some Micropolar Elastic Solids," Mech. Solids. 58 (6), 2254-2268 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
6 |
Pages |
2254-2268 |
| DOI |
10.3103/S0025654423700243 |
| Title |
Two-Dimensional Nye Figures for Some Micropolar Elastic Solids |
| Author(s) |
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, evmurashkin@gmail.com)
Y.N. Radayev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru) |
| Abstract |
The paper is devoted to problems related to two-dimensional Nye figures for micropolar continua. The representation technique known from studies on crystallography for 4th, 3rd and 2nd rank tensors is employed by two-dimensional matrices, supplied by relationships between their elements. Such representations are commonly used to simplify a script of the equations of athermic micropolar elastic solids. This method allows us to graphically represent micropolar constitutive tensors and pseudotensors in the form of specific two-dimensional blocks. The Nye figures for the micropolar elastic solids are obtained. The Nye figures enables us to discriminate anisotropic solids and figure out general anisotropic, hemitropic, isotropic, and ultraisotropic continua. |
| Keywords |
anisotropy, isotropy, gyrotropy, elastic energy potential, constitutive tensor, pseudotensor unit, semiisotropic micropolar continuum, Nye's figure, Nye's block |
| Received |
10 June 2023 | Revised |
23 July 2023 | Accepted |
12 August 2023 |
| Link to Fulltext |
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