Skip to main content

Bounds for the Critical Value of a Nonlinear Circular Membrane under Normal Pressure

  • Chapter
  • 98 Accesses

Abstract

In this note we use the finite dimensional iteration techniques developed in [3] to include the critical value of a circular membrane under constant normal pressure.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Bohl: On Two Boundary Value Problems in Nonlinear Elasticity from a Numerical Viewpoint. In: Lecture Notes in Mathematics No, 679, Ed.: R. Ansorge, W. Törnig. Springer, Berlin-Heidelberg-New York 1977, 1–14.

    Google Scholar 

  2. R. W. Dickey: The Plane Circular Elastic Surface Under Normal Pressure. Arch. Rat. Mech. Anal. 26 (1967), 219–236.

    Article  Google Scholar 

  3. J. Sprekels, H. Voss: Pointwise Inclusions of Fixed Points by Finite Dimensional Iteration Schemes. To appear in Numer. Math.

    Google Scholar 

  4. H. J. Weinitschke: Endliche Deformationen elastischer Membranen. ZAMM 53 (1973), 89–91.

    Google Scholar 

  5. H. J. Weinitschke: Verzweigungsprobleme bei kreisförmigen elastischen Platten. Intern. Ser. Numer. Math. 38 (1977), 195–212.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer Basel AG

About this chapter

Cite this chapter

Sprekels, J., Voss, H. (1979). Bounds for the Critical Value of a Nonlinear Circular Membrane under Normal Pressure. In: Albrecht, J., Collatz, L., Kirchgässner, K. (eds) Constructive Methods for Nonlinear Boundary Value Problems and Nonlinear Oscillations. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Serie Internationale D’Analyse Numerique, vol 48. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6283-7_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-6283-7_14

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1098-1

  • Online ISBN: 978-3-0348-6283-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics