This article is cited 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.

UDC: 517.958+539.3

Received: 04.05.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:8, 47–58

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