Email this article Differential Properties of the Operator of the Geometrically Nonlinear Problem of a Sandwich Plate Bending
- Authors: Badriev I.B.1, Bujanov V.Y.1, Makarov M.V.1,2
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Affiliations:
- Institute of Computational Mathematics and Information Technologies
- Institute of Aviation, Land Vehicles and Energetics
- Issue: Vol 40, No 3 (2019)
- Pages: 263-273
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204056
- DOI: https://doi.org/10.1134/S1995080219030041
- ID: 204056
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Abstract
The geometrically nonlinear bending problem of a sandwich plate with a transversally soft core in a one-dimensional formulation is considered. A generalized formulation of the problem in the form of an operator equation in Sobolev space is obtained. The differential properties of the operator of this equation are investigated. It is proved that the operator of the equation is differentiate according to Gâlteaux. It is established that the Gâlteaux derivative is a continuous operator. Therefore, the operator is also differentiate Fréchet derivative wherein the Gato derivative coincides with the Fréchet derivative.
About the authors
I. B. Badriev
Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: ildar.badriev1@mail.ru
Russian Federation, ul. Kremlevskaya 35, Kazan, 420008
V. Yu. Bujanov
Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: ahumellihuk5871@gmail.com
Russian Federation, ul. Kremlevskaya 35, Kazan, 420008
M. V. Makarov
Institute of Computational Mathematics and Information Technologies; Institute of Aviation, Land Vehicles and Energetics
Author for correspondence.
Email: makarovmaksim@mail.ru
Russian Federation, ul. Kremlevskaya 35, Kazan, 420008; ul. K. Marksa 10, Kazan, 420111
