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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 56–68
(Mi ivm7866)
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This article is cited in 10 scientific papers (total in 10 papers)
Solvability of geometrically nonlinear boundary-value problems for the Timoshenko-type anisotropic shells with rigidly clamped edges
S. N. Timergaliev Chair of Applied Mathematics, Kama State Engineering Economic Academy, Naberezhnye Chelny, Russia
Abstract:
In the nonlinear theory of shells all known existence theorems are based on the Kirchhoff–Love model. We prove a new existence theorem using the Timoshenko model.
Keywords:
Timoshenko-type shell, equilibrium equations system, boundary-value problem, generalized shifts, generalized problem solution, integral images, Sobolev spaces, operator, integral equations, existence theorem.
Received: 04.05.2010
Citation:
S. N. Timergaliev, “Solvability of geometrically nonlinear boundary-value problems for the Timoshenko-type anisotropic shells with rigidly clamped edges”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 56–68; Russian Math. (Iz. VUZ), 55:8 (2011), 47–58
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https://www.mathnet.ru/eng/ivm7866 https://www.mathnet.ru/eng/ivm/y2011/i8/p56
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Abstract page: | 360 | Full-text PDF : | 83 | References: | 65 | First page: | 14 |
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