On the Variational Principle of Lagrange of the Micropolar Elasticity Theory in the Case of Orthotropic Medium

On the Variational Principle of Lagrange of the Micropolar Elasticity Theory in the Case of Orthotropic Medium

In this paper, the 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.

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Veröffentlicht in:Moscow University mechanics bulletin 2023-02, Vol.78 (1), p.23-28
1. Verfasser: Romanov, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
Classical Mechanics
Elasticity
Linear algebra
Mathematical analysis
Physics
Physics and Astronomy
Polynomials
Principles
Ritz method
Shape functions
Stiffness matrix
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Beschreibung
Zusammenfassung:In this paper, the 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.
ISSN:0027-1330
1934-8452
DOI:10.3103/S0027133023010041