Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
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IssuesArchive of Issues2020-6pp.776-783

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Total articles in the database: 4918
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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,,
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 2020Revised 15 May 2020Accepted 04 June 2020
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