I. B. Badriev, M. V. Makarov, V. N. Paimushin, “Solvability of a physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 10,Pages <nobr>66

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Brief communications

Solvability of a physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core

I. B. Badriev^a, M. V. Makarov^bc, V. N. Paimushin^bc

^a Chair of Computational Mathematics, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
^b Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
^c Chair of Structural Strength, Kazan National Research Technical University, 10 K. Marks str., Kazan, 420111 Russia

Abstract: The paper presents a generalized statement of geometrically and physically nonlinear problem of the equilibrium of sandwich plate with transversal-soft core. Generalized statement is formulated as a problem of finding a saddle point of a functional. We investigate the properties of this functional. These properties allow to prove a theorem of solvability of variational problem under consideration.

Keywords: sandwich plate, transversal-soft core, saddle point, theorem of solvability.

UDC: 543.4+544.2+517.958

Received: 02.04.2015