横向各向同性介质中弹性微极理论的拉格朗日变分原理

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2022-10-20 DOI:10.3103/S0027133022040045

A. V. Romanov

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引用次数: 2

摘要

本文建立了横向各向同性中心对称材料弹性微极理论中的拉格朗日变分原理。采用里兹法和分段多项式偶然性形状函数，得到张量块刚度矩阵和线性方程组的分量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 matrix and a system of linear equations.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.