 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 55, Issue 6 / 2020 | Next article >> |
| Radaev Yu.N., "Factorization of the Main Hyperbolic Differential Operator of the Micropolar Elasticity Theory," Mech. Solids. 55 (6), 776-783 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
6 |
Pages |
776-783 |
| DOI |
10.3103/S0025654420060126 |
| Title |
Factorization of the Main Hyperbolic Differential Operator of the Micropolar Elasticity Theory |
| Author(s) |
Radaev Yu.N. (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, radayev@ipmnet.ru, y.radayev@gmail.com) |
| Abstract |
The article deals with the dynamic equations of the linear micropolar theory of elasticity. They are related with respect to vector fields of displacements and microrotations. Coupled equations are also obtained for vortex vector potentials of displacements and microrotations. Using (or not) calibration conditions, it is possible to formulate uncoupled equations that include the same main differential operator. Conditions for the hyperbolicity of the main operator and a condition connecting the defining constants that ensures its factorizability, that is, representation as a product of simpler differential operators commuting with each other. The actual construction of the operator factors in the factorized form is carried out. |
| Keywords |
micropolar elasticity, displacement vector, microrotation vector, coupled, vector potential, differential operator, hyperbolic form, factorization |
| Received |
08 May 2020 | Revised |
15 May 2020 | Accepted |
04 June 2020 |
| Link to Fulltext |
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| << Previous article | Volume 55, Issue 6 / 2020 | Next article >> |
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