Vol. 13, no.4, 2021
РусскийEnglish
INFORMATION TECHNOLOGIES
CHARACTERISTIC FORM OF DYNAMICS EQUATIONS OF COSSERAT MEDIUM
George G. Bulychev
MIREA-Russian Technological University, https://www.mirea.ru/
Moscow 119454, Russian Federation
E-mail: geo-bulychev@mail.ru
Received August 26, 2021, peer-reviewed September 10, 2021, accepted September 15, 2021
Abstract: 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.
Keywords: dynamic processes, spatial characteristics method, numerical modeling, Cosserat medium
UDC 537.311.3, 539.23, 546.26
RENSIT, 2021, 13(4):487-494 DOI: 10.17725/rensit.2021.13.487.
Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/413/13(4)487-494pdf