Skip to main content

On two boundary value problems in nonlinear elasticity from a numerical viewpoint

Part of the Lecture Notes in Mathematics book series (LNM,volume 679)

Keywords

  • Nonlinear Elasticity
  • Bifurcation Problem
  • Circular Membrane
  • Contraction Mapping Theorem
  • Membrane Problem

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.99
Price excludes VAT (Canada)
  • 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. Beyn, W.-J., Das Parallelenverfahren für Operatorgleichungen und seine Anwendung auf nichtlineare Randwertaufgaben, ISNM 31 (1976), 9–33.

    MathSciNet  MATH  Google Scholar 

  2. Bohl, E., Monotonie: Lösbarkeit und Numerik bei Operatorgleichungen, Springer Tracts in Natural Philosophy, Bd. 25 (1974).

    Google Scholar 

  3. Bohl, E., Iterative procedures in the study of discrete analogues for nonlinear boundary value problems, Istituto per le applicazioni del calcolo "Mauro Picone" (1975), serie III-N. 107.

    Google Scholar 

  4. Bohl, E., Lorenz, J., Inverse monotonicity and difference schemes of higher order. A summary for two-point boundary value problems, to appear.

    Google Scholar 

  5. Dickey, R. W., The plane circular elastic surface under normal pressure, Arch. Rat. Mech. Anal. 26 (1967), 219–236.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Dickey, R. W., Bifurcation problems in nonlinear elasticity, Pitman Publishing (1977).

    Google Scholar 

  7. Lorenz, J., Zur Inversmonotonie diskreter Probleme, Numer. Math. 27 (1977), 227–238.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Protter, M. H., Weinberger, H. F., Maximum principles in differential equations, Prentice-Hall (1967).

    Google Scholar 

  9. Temme, N. M., Nonlinear Analysis, Vol. 2, Mathematisch Centrum Amsterdam (1976).

    Google Scholar 

  10. Weinitschke, H. J., Verzweigungsprobleme bei kreisförmigen elastischen Platten, ISNM 38 (1977), 195–212.

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Bohl, E. (1978). On two boundary value problems in nonlinear elasticity from a numerical viewpoint. In: Ansorge, R., Törnig, W. (eds) Numerical Treatment of Differential Equations in Applications. Lecture Notes in Mathematics, vol 679. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067862

Download citation

  • DOI: https://doi.org/10.1007/BFb0067862

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08940-7

  • Online ISBN: 978-3-540-35715-5

  • eBook Packages: Springer Book Archive