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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 10, Pages 66–71
(Mi ivm9045)
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This article is cited in 58 scientific papers (total in 58 papers)
Brief communications
Solvability of a physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core
I. B. Badrieva, M. V. Makarovbc, V. N. Paimushinbc 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.
Received: 02.04.2015
Citation:
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, no. 10, 66–71; Russian Math. (Iz. VUZ), 59:10 (2015), 57–60
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https://www.mathnet.ru/eng/ivm9045 https://www.mathnet.ru/eng/ivm/y2015/i10/p66
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Abstract page: | 249 | Full-text PDF : | 52 | References: | 32 | First page: | 9 |
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