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Nonlinear theory of shallow shells

Author: I I Vorovich; L P Lebedev
Publisher: New York : Springer, ©1999.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 133.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: I I Vorovich; L P Lebedev
ISBN: 0387983392 9780387983394
OCLC Number: 38853969
Description: xvi, 388 pages : illustrations ; 24 cm.
Contents: 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.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 133.
Other Titles: Matematicheskie problemy nelineĭnoĭ teorii pologikh obolochek.
Responsibility: I.I. Vorovich ; English translation edited by L.P. Lebedev ; translated by Michael Grinfeld.
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