弹性微波理论问题中的混合度多项式

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2024-10-05 DOI:10.3103/S0027133024700171

A. V. Romanov

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引用次数: 0

摘要

本文利用拉格朗日的变分原理和里兹方法，对混合片断多项式函数进行广义化简和选择性积分，从而获得弹性微观理论的刚度矩阵和线性代数方程组。这种方法适用于各向异性、各向同性和非等温过程中的中心对称材料。考虑了立方体问题。使用混合片断多项式函数的有限元性能得到了体现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

The Polynomials of Mixed Degree in Problems of Micropolar Theory of Elasticity

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The Polynomials of Mixed Degree in Problems of Micropolar Theory of Elasticity

In this paper, a variational principle of Lagrange and the Ritz method with generalized reduced and selective integration for mixed piecewise polynomial functions are used to obtain a stiffness matrix and a system of linear algebraic equations for micropolar theory of elasticity. This approach is implemented for anisotropic, isotropic, and centrally symmetric material in case of nonisothermal process. The cube problem is considered. The performance for finite element with mixed piecewise polynomial functions is exposed.

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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.