Application of Riemann–Hilbert Problem Solutions to a Study of Nonlinear Boundary Value Problems for Timoshenko Type Inhomogeneous Shells with Free Edges
- Authors: Timergaliev S.N.1, Uglov A.N.2
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Affiliations:
- Kazan State University of Architecture and Engineering
- Kazan Federal University—Naberezhnye Chelny Institute
- Issue: Vol 39, No 6 (2018)
- Pages: 855-865
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202570
- DOI: https://doi.org/10.1134/S1995080218060203
- ID: 202570
Cite item
Abstract
The paper deals with the study of solvability of geometrically nonlinear boundary value problem for elastic shallow isotropic inhomogeneous shells with free edges within S. P. Timoshenko shear model. The problem is reduced to one nonlinear equation whose solvability is proved with the use of contracting mappings principle.
Keywords
About the authors
S. N. Timergaliev
Kazan State University of Architecture and Engineering
Author for correspondence.
Email: Samat_tim@mail.ru
Russian Federation, ul. Zelenaya 1, Kazan, Tatarstan, 420043
A. N. Uglov
Kazan Federal University—Naberezhnye Chelny Institute
Email: Samat_tim@mail.ru
Russian Federation, pr. Mira 68/19, Naberezhnye Chelny, Tatarstan, 423812