A Variational Principle of Lagrange of the Micropolar Theory of Elasticity in the Case of Transversely Isotropic Medium

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 components of the tensor-block stiffness ma...

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Bibliographic Details
Published in:Moscow University mechanics bulletin 2022-08, Vol.77 (4), p.93-98
Main Author: Romanov, A. V.
Format: Article
Language:English
Subjects:
Classical Mechanics
Elasticity
Isotropic material
Isotropic media
Linear equations
Mathematical analysis
Physics
Physics and Astronomy
Polynomials
Principles
Ritz method
Shape functions
Stiffness matrix
Tensors
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Summary: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 components of the tensor-block stiffness matrix and a system of linear equations.
ISSN:0027-1330
1934-8452
DOI:10.3103/S0027133022040045