Nonlinear Theory of Shallow Shells

ISBN-13: 9780387983394 / Angielski / Twarda / 1998 / 390 str.

I. Vorovich; Iosif Izrailevich Vorovich;Vorovich

Opis

This text presents rigorous treatment of boundary value problems in non-linear theory of shallow shells. The consideration of the problem is carried out using methods of non-linear functional analysis.

Spis treści

The Main Boundary Value Problems in the Nonlinear Theory of Shallow Shells.- General Mathematical Questions.- Topological Methods Applied to Solvability of the Main Boundary Value Problems of the Nonlinear Theory of Shallow Sells in Displacements.- The Tolopological Method in the Problem of Solvability of the Main Boundary Value Problems in the Nonlinear Theory of Shallow Shells with an Airy Stress Function.- The Variational Approach to the Problem of Solvability of Boundary Value Problems of Nonlinear Shallow Shell Theory.- Numerical-Analytical Methods in the Nonlinear Theory of Shallow Shells.- Direct Methods in the Nonlinear Theory of Shallow Shells.- Formulation of the Problem of Stability. Global Uniqueness of Solutions. Stiffness of Shells. Well-Posedness Classes.- Stability in the Large of the Membrane State of a Shallow Shell. Existence of the Lower Critical Value.- A Probabilistic Approach to the Problem of Stability of Shallow Shells.