 | | 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: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
|
| In English (Mech. Solids): | | 5430 |
|
| << Previous article | Volume 60, Issue 8 / 2025 | Next article >> |
| E.V. Murashkin and Y.N. Radayev, "Systems of Integer Rational Hemitropic Invariants for Micropolar Continuum Mechanics," Mech. Solids. 60 (8), 6635-6646 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
6635-6646 |
| DOI |
10.1134/S0025654425700037 |
| Title |
Systems of Integer Rational Hemitropic Invariants for Micropolar Continuum Mechanics |
| 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, y.radayev@gmail.com) |
| Abstract |
This paper concerns an application of the theory of rational invariants for deriving the cubic
approximations of energy forms for the potentials of force and couple stresses in the hemitropic micropolar elastic bodies. The A-representation method is the most appropriate for given such potentials,
which makes it possible to easily obtain an approximation of a prescribed degree as a polynomial linear
combination of rational invariants with respect to the hemitropic group of transformations of the
three-dimensional space. Within the framework of this study, the analysis is caried our by considering
on a complete irreducible set of 86 individual and joint hemitropic integral rational algebraic invariants
for a system of two symmetric and two antisymmetric second-rank tensors. The obtained set of invariants is then used to obtain the cubic energy form approximation and determine a complete set of 37
constitutive constants. Requisite formulas are find out to derive the constitutive equations of hemitropic micropolar elasticity. |
| Keywords |
nanoscale, microscale, an energy form, an integral rational algebraic invariant, an irreducible system of invariants, cubic approximation, hemitropic micropolar elastic solid |
| Received |
10 October 2025 | Revised |
13 November 2025 | Accepted |
20 November 2025 |
| Link to Fulltext |
|
| << Previous article | Volume 60, Issue 8 / 2025 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English