RUS  ENG
Full version
JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022 Number 4, Pages 35–39 (Mi vmumm4483)

This article is cited in 6 papers

Mechanics

A variational principle of Lagrange of the micropolar theory of elasticity in the case of transversely isotropic medium

A. V. Romanov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In this paper, a variational principle of Lagrange in the micropolar theory of elasticity for transversely isotropic and centrally symmetric material is formulated. The Ritz method and piecewise polynomial serendipity shape functions are used to obtain the stiffness matrix and a system of linear algebraic equations.

Key words: micropolar medium, Cosserat continuum, theory of asymmetric elasticity, variational principle, rotation gradient tensor, couple stress tensor, finite element method, stiffness matrix.

UDC: 539.3+531.53+532.23

Received: 20.09.2021


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2022, 77:4, 93–98


© Steklov Math. Inst. of RAS, 2026