Skip to main content

Two examples in nonlinear elasticity

Part of the Lecture Notes in Mathematics book series (LNM,volume 665)

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. J.M. BALL: Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rat. Mech. An. 63 (1977) 337–403.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. O. BOLZA: "Lectures on the Calculus of Variations". Chelsea, N.Y. (1973).

    Google Scholar 

  3. R.J. KNOPS: On potential wells in elasticity (to appear).

    Google Scholar 

  4. R.J. KNOPS and L.E. PAYNE: On the potential wells and stability in nonlinear elasticity (to appear).

    Google Scholar 

  5. R.J. KNOPS and E.W. WILKES: Theory of elastic stability. Handbuch der Physik (ed. C. Truesdell), Vol. VI a/3, Springer (1973) 125–302.

    Google Scholar 

  6. W.T. KOITER: A basic open problem in the theory of elastic stability, in "Applications of Methods of Functional Analysis to Problems in Mechanics" (P. Germain and B. Nayroles, eds.), Springer Lecture Notes in Mathematics 503 (1976) 366–373.

    Google Scholar 

  7. J.E. MARSDEN: On a global solutions for nonlinear Hamiltonian evolution equations. Comm. Math. Phys. 30 (1973) 79–81.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. L.E. PAYNE and D.H. SATTINGER: Saddle points and instability of nonlinear hyperbolic equations. Israel J. Math. 22 (1975) 273–303.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. A.J. TROMBA: Almost Riemannian structures on Banach manifolds, the Morse lemma and the Darboux theorem. Can. J. Math. 28 (1976) 640–652.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Ball, J.M., Knops, R.J., Marsden, J.E. (1978). Two examples in nonlinear elasticity. In: Bénilan, P., Robert, J. (eds) Journées d’Analyse Non Linéaire. Lecture Notes in Mathematics, vol 665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061796

Download citation

  • DOI: https://doi.org/10.1007/BFb0061796

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08922-3

  • Online ISBN: 978-3-540-35756-8

  • eBook Packages: Springer Book Archive