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On some variational principles in micropolar theories of single-layer thin bodiesстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Nikabadze M., Ulukhanyan A.
- Журнал: Continuum Mechanics and Thermodynamics
- Год издания: 2022
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- DOI: 10.1007/s00161-022-01089-5
- Аннотация: The generalized Reissner-type operator of three-dimensional micropolar mechanics of solids is presented, on the basis of which the generalized Reissner-type operator of three-dimensional micropolar mechanics of thin solids with one small size is obtained under the new parameterization of the domains of these bodies.From the last Reissner-type operator, in turn, the generalized Reissner-type variational principle of three-dimensional micropolar mechanics of thin solids with one small size is derived under the new parametrization of the domains of these bodies. It should be noted that the advantage of the new parameterization is that it is experimentally more accessible than other parameterizations \cite{nmu14c,nmu15,nmu17}.Further, applying the method of orthogonal polynomials (expansion of unknown quantities in series in terms of a system of orthogonal polynomials), from the generalized Reissner-type variational principle of three-dimensional micropolar mechanics of thin solids with one small size under the new parameterization of the domains of these bodies, the Reissner variational principle of micropolar mechanics of thin solids with one small size in the moments with respect to the system of Legendre polynomials is derived. In addition, the method is described for obtaining the variational principles of Lagrange and Castigliano of micropolar mechanics of thin solid with one small size under the new parametrization of the domains of these bodies in moments with respect to systems of the first and second kind Chebyshev polynomials.The paper is a continuation of the work "M. Nikabadze, A. Ulukhanyan, On some variational principles in the three-dimensional micropolar theories of solids", therefore, before reading this paper, the authors invite the interested reader to familiarize themselves with this work.
- Добавил в систему: Никабадзе Михаил Ушангиевич