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

DOI10.3103/S1066369X21040071zbMath1468.74035OpenAlexW3164174309MaRDI QIDQ2041603

S. N. Timergaliev

Publication date: 23 July 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21040071

zbMATH Keywords

Sobolev spaceexistenceintegral representationholomorphic functioncontraction mappinggeneralized displacement solution

Mathematics Subject Classification ID

Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74) Existence of solutions of equilibrium problems in solid mechanics (74G22)

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On the existence of solutions of nonlinear boundary value problems for a system of differential equilibrium equations for Timoshenko-type shells in isometric coordinates, Diffraction of harmonic shear waves on an elliptical cavity located in a viscoelastic medium, On the existence of solutions to boundary value problems for nonlinear equilibrium equations of shallow anisotropic shells of Timoshenko type in Sobolev space

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
• Application of Riemann-Hilbert problem solutions to a study of nonlinear boundary value problems for Timoshenko type inhomogeneous shells with free edges
• Method of integral equations for studying the solvability of boundary value problems for the system of nonlinear differential equations of the theory of Timoshenko type shallow inhomogeneous shells
• Consistent equations of nonlinear multilayer shells theory in the quadratic approximation
• On existence of solutions of nonlinear equilibrium problems on shallow inhomogeneous anisotropic shells of the Timoshenko type
• 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
• Solvability of physically and geometrically nonlinear problem of the theory of sandwich plates with transversally-soft core