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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023 Number 1, Pages 68–72 (Mi vmumm4523)

This article is cited in 5 papers

Short notes

On the variational principle of Lagrange of the micropolar elasticity theory in the case of orthotropic medium

A. V. Romanov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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

Key words: micropolar continuum, 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: 14.10.2022

DOI: 10.55959/MSU0579-9368-1-2023-1-68-72


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2023, 78:1, 23–28

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026