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, 2015, Volume 157, Book 1,Pages <nobr>15

This article is cited in 4 papers

On solving physically nonlinear equilibrium problems for sandwich plates with a transversely soft filler

I. B. Badriev^a, G. Z. Garipova^b, M. V. Makarov^bc, V. N. Paimushin^cb, R. F. Chabibullin^d

^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.

UDC: 517.957

Received: 15.11.2014