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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Veröffentlicht in:	Moscow University mechanics bulletin 2022-08, Vol.77 (4), p.93-98
1. Verfasser:	Romanov, A. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	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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description	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.
doi_str_mv	10.3103/S0027133022040045
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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
title	A Variational Principle of Lagrange of the Micropolar Theory of Elasticity in the Case of Transversely Isotropic Medium
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