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Mechanics
The polynomials of mixed degree in problems of micropolar theory of elasticity
A. V. Romanov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
In this paper, a variational principle of Lagrange, 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 non isothermal process. The cube problem is considered. The performance for finite element with mixed piecewise polynomial functions is exposed.
Key words:
micropolar continuum, Cosserat continuum, reduced and selective integration, theory of asymmetric elasticity, variational principle, rotation gradient tensor, couple stress tensor, finite element method, stiffness matrix, mixed polynomial functions, cube problem.
Received: 14.06.2023
Citation:
A. V. Romanov, “The polynomials of mixed degree in problems of micropolar theory of elasticity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 4, 52–57; Moscow University Mеchanics Bulletin, 79:4 (2024), 130–136
Linking options:
https://www.mathnet.ru/eng/vmumm4619 https://www.mathnet.ru/eng/vmumm/y2024/i4/p52
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Abstract page: | 56 | Full-text PDF : | 12 | References: | 21 |
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