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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 1, Pages 15–24
(Mi uzku1289)
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This article is cited in 4 scientific papers (total in 4 papers)
On solving physically nonlinear equilibrium problems for sandwich plates with a transversely soft filler
I. B. Badrieva, G. Z. Garipovab, M. V. Makarovbc, V. N. Paimushincb, R. F. Chabibullind a Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
b Kazan (Volga Region) Federal University, Kazan, Russia
c Institute of Aviations, Transport and Energy, Kazan State Technical University, Kazan, Russia
d Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
Abstract:
The generalized statement for the problem of determining the stress-strain state of sandwich plates with a transversely soft filler in the presence of constraints is given. Its correctness is discussed. This statement is formulated in the form of finding a saddle point of some functional. The existence and uniqueness theorems are proved. An iterative method for solving the problem is proposed. Its convergence is investigated.
Keywords:
sandwich plate, transversely soft filler, saddle point, existence theorem, uniqueness theorem, iterative method.
Received: 15.11.2014
Citation:
I. B. Badriev, G. Z. Garipova, M. V. Makarov, V. N. Paimushin, R. F. Chabibullin, “On solving physically nonlinear equilibrium problems for sandwich plates with a transversely soft filler”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 1, Kazan University, Kazan, 2015, 15–24
Linking options:
https://www.mathnet.ru/eng/uzku1289 https://www.mathnet.ru/eng/uzku/v157/i1/p15
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Abstract page: | 268 | Full-text PDF : | 62 | References: | 39 |
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