
Nonlinear Theory of Shallow Shells
Iosif I. Vorovich(Author)
Leonid P. Lebedev(Editor)
Springer (Publisher)
Published on 17. May 2013
Book
Paperback/Softback
XVI, 390 pages
978-1-4757-7288-3 (ISBN)
Description
This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1999
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
XVI, 390 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 23 mm
Weight
616 gr
ISBN-13
978-1-4757-7288-3 (9781475772883)
DOI
10.1007/b98970
Schweitzer Classification
Other editions
Additional editions

Iosif I. Vorovich | Leonid P. Lebedev
Nonlinear Theory of Shallow Shells
Book
12/1998
Springer
€160.49
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Persons
Content
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.