
Characteristic form of dynamics equations of Cosserat medium
Author(s) -
G. G. Bulychev,
AUTHOR_ID
Publication year - 2021
Publication title -
radioèlektronika, nanosistemy, informacionnye tehnologii
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.204
H-Index - 5
eISSN - 2414-1267
pISSN - 2218-3000
DOI - 10.17725/rensit.2021.13.487
Subject(s) - isotropy , bounded function , dynamics (music) , mathematics , moment (physics) , sequence (biology) , classical mechanics , matrix (chemical analysis) , mathematical analysis , boundary (topology) , physics , materials science , quantum mechanics , biology , acoustics , composite material , genetics
In this paper, we construct the characteristic form of the equations of dynamics of the Cosserat medium and the Cosserat pseudocontinuum for bounded bodies. The method of matrix transformations proposed by the author is used for construction and allows obtaining the necessary relations using identical transformations. The obtained equations are compared with those for a symmetrically elastic isotropic homogeneous body. A method is proposed for selecting the necessary equations for computational schemes at the internal and boundary points of the body. A sequence of operations is proposed for iterative calculations of stresses, particle velocities, moment stresses, and angular velocities of particles in a coupled model of the Cosserat medium.