Application of Riemann-Hilbert problem solutions to a study of nonlinear boundary value problems for Timoshenko type inhomogeneous shells with free edges

DOI10.1134/S1995080218060203zbMath1404.35313OpenAlexW2886159966WikidataQ129436826 ScholiaQ129436826MaRDI QIDQ1990960

S. N. Timergaliev, A. N. Uglov

Publication date: 29 October 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218060203

zbMATH Keywords

Sobolev spacenonlinear boundary value problemoperatorintegral representationsexistence theoremequilibrium equationsgeneralized displacementsgeneralized solution of a boundary value problemRiemann-Hilbert problem for the holomorphic functionsTimoshenko-type inhomogeneous isotropic shell

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Shells (74K25) Riemann-Hilbert problems in context of PDEs (35Q15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

On the existence of solutions of nonlinear boundary value problems for inhomogeneous isotropic shallow shells of the Timoshenko type with free edges ⋮ On the problem of solvability of nonlinear boundary value problems for arbitrary isotropic shallow shells of the Timoshenko type with free edges

Cites Work

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• Study of the solvability of a boundary value problem for the system of nonlinear differential equations of the theory of shallow shells of the Timoshenko type
• Proof of the solvability of a system of partial differential equations in the nonlinear theory of shallow shells of Timoshenko type
• On the existence of solutions to geometrically nonlinear problems for shallow Timoshenko-type shells with free edges
• Solvability of geometrically nonlinear boundary-value problems for the Timoshenko-type anisotropic shells with rigidly clamped edges
• On the existence of solutions of a nonlinear boundary value problem for the system of partial differential equations of the theory of Timoshenko type shallow shells with free edges
• A method of integral equations in nonlinear boundary-value problems for flat shells of the Timoshenko type with free edges

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