Skip to main content
SpringerLink
Log in

Nonlinear Theory of Shallow Shells

  • Book
  • © 1999

Overview

Authors:
  1. I. I. Vorovich

    1. Research Institute of Mechanics and Applied Mathematics, Rostov State University, Rostov on Don, Russia

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Mathematical Sciences (AMS, volume 133)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. The Main Boundary Value Problems in the Nonlinear Theory of Shallow Shells

    Pages 1-59

  3. General Mathematical Questions

    Pages 60-106

  4. Topological Methods Applied to Solvability of the Main Boundary Value Problems of the Nonlinear Theory of Shallow Sells in Displacements

    Pages 107-144

  5. 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

    Pages 145-180

  6. The Variational Approach to the Problem of Solvability of Boundary Value Problems of Nonlinear Shallow Shell Theory

    Pages 181-205

  7. Numerical-Analytical Methods in the Nonlinear Theory of Shallow Shells

    Pages 206-228

  8. Direct Methods in the Nonlinear Theory of Shallow Shells

    Pages 229-262

  9. Formulation of the Problem of Stability. Global Uniqueness of Solutions. Stiffness of Shells. Well-Posedness Classes

    Pages 263-295

  10. Stability in the Large of the Membrane State of a Shallow Shell. Existence of the Lower Critical Value

    Pages 296-342

  11. A Probabilistic Approach to the Problem of Stability of Shallow Shells

    Pages 343-351

  12. Back Matter

    Pages 353-390
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Research Institute of Mechanics and Applied Mathematics, Rostov State University, Rostov on Don, Russia

    I. I. Vorovich

Bibliographic Information

  • Book Title: Nonlinear Theory of Shallow Shells

  • Authors: I. I. Vorovich

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/b98970

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • Hardcover ISBN: 978-0-387-98339-4Published: 04 December 1998

  • Softcover ISBN: 978-1-4757-7288-3Published: 17 May 2013

  • eBook ISBN: 978-0-387-22776-4Published: 08 January 2008

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: XVI, 390

  • Topics: Theoretical and Applied Mechanics

Publish with us

Policies and ethics

Back to top

Search

Navigation