 | | 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 56, Issue 6 / 2021 | Next article >> |
| Murashkin E.V. and Radayev Yu.N., "Generalization of the Algebraic Hamilton-Cayley Theory," Mech. Solids. 56 (6), 996-1003 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
6 |
Pages |
996-1003 |
| DOI |
10.3103/S0025654421060145 |
| Title |
Generalization of the Algebraic Hamilton-Cayley Theory |
| Author(s) |
Murashkin E.V. (Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, evmurashkin@gmail.com)
Radayev Yu.N. (Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, y.radayev@gmail.com) |
| Abstract |
The paper presents generalizations of the vector and mixed product concepts including indication of their connection with the fundamental orienting pseudoscalar, necessary for constructing the algebraic Hamilton-Cayley theory for space of arbitrary given dimension n in the pseudotensor case. In existing studies dealing with the mechanics of solids, the case of three-dimensional space is usually considered. The proof of the Hamilton-Cayley theorem is carried out in a pseudotensor formulation. The weight of the pseudotensor is assumed to be an integer. The given examples are tensors of the micropolar theory of elasticity, in particular, hemitropic micropolar elasticity. The dynamic equations for the hemitropic micropolar continuum are discussed in terms of pseudotensors. |
| Keywords |
pseudotensor, pseudo-affinor, fundamental orienting pseudoscalar, skew product, invariant, comitant, micropolar hemitropic continuum |
| Received |
21 April 2021 | Revised |
24 April 2021 | Accepted |
26 April 2021 |
| Link to Fulltext |
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