 | | 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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| E.Yu. Krylova, E.V. Murashkin, and Y.N. Radaev, "The Nye Cells and Figures for Athermic Hemitropic, Isotropic, and Ultraisotropic Micropolar Elastic Solids," Mech. Solids. 59 (3), 1311-1320 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1311-1320 |
| DOI |
10.1134/S0025654424603719 |
| Title |
The Nye Cells and Figures for Athermic Hemitropic, Isotropic, and Ultraisotropic Micropolar Elastic Solids |
| Author(s) |
E.Yu. Krylova (Saratov State University, Saratov, 410012 Russia, kat.krylova@bk.ru)
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, murashkin@ipmnet.ru)
Y.N. Radaev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru) |
| Abstract |
The paper deals with a method of the Nye figures construction for micropolar elastic solids.
The method of tensors of the 4th and 3rd ranks representations by means of blocks of two-dimensional matrices and relationships between their elements is widely known in crystallography. Such approach
makes it possible to simply determine the number of independent constitutive constants for micropolar elastic solids and guarantee the absence of relationships between them. In frameworks of the present study, the two-dimensional Nye figures for an ultraisotropic micropolar elastic solid were figured out based on the corresponding figures for hemitropic and isotropic micropolar elastic solids. It is
shown that the constitutive tensors of ultraisotropic material characterized by only 4 independent constitutive constants: shear modulus of elasticity, Poisson’s ratio, characteristic nano/microlength and
another dimensionless constant. |
| Keywords |
ultraisotropic micropolar continuum, stress state potential, constitutive tensor, Nye’s figure, Nye’s cell, nano/microlength, nano/microscale |
| Received |
08 May 2024 | Revised |
13 May 2024 | Accepted |
14 May 2024 |
| Link to Fulltext |
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