Work

Solvability of Nonlinear Boundary Value Problems for Differential Equilibrium Equations of Non-flat Timoshenko Type Shells of Non-zero Gaussian Curvature in Isometric Coordinates

Year: 2024

Type: article

Abstract: We study the solvability of a boundary value problem for a system of five nonlinear second-order partial differential equations under given nonlinear boundary conditions, which describes the equilibrium state of elastic non-flat inhomogeneous isotropic shells with loose edges in the framework of the Timoshenko shear model, referred to isometric coordinates.The boundary value problem is reduced to a nonlinear operator equation with respect to generalized displacements in Sobolev space, the solvability of which is established using the principle of compressed mappings.

Source: Дифференциальные уравнения

DOI: 10.31857/s0374064124120088

Author: S. N. Timergaliev

Institution: Kazan State University of Architecture and Engineering

Language: English

Topic: Elasticity and Wave Propagation

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: Russian Science Foundation

Award: G125885084