Skip to main content
SpringerLink
Log in

On the foundations of the theory of elastic shells

  • Conference paper
Applied Mechanics

Abstract

The foundation problem of the theory of thin elastic shells is the formulation of a two-dimensional system of differential equations and boundary conditions for a rational approximate determination of stresses and deformations in three-dimensional elastic bodies of the form of a (thin) elastic layer surrounding a surface in space, the middle surface of the shell.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Budiansky, B., and J.L. Sanders: Prager Anniversary Volume, 1963, pp. 129-140.

    Google Scholar 

  2. Byrne, R.: Univ. Calif. Publ. Math. N. S. 2 (1944) 103–152.

    MathSciNet  Google Scholar 

  3. Flügge, W.: Ing.-Arch. 3 (1932) 463–506.

    Article  MATH  Google Scholar 

  4. Friedrichs, K. O.: Proc. Symp. Appl. Math. 3 (1950) 117–124.

    Article  Google Scholar 

  5. Friedrichs, K. O., and R. F. Dressler: Comm. Pure Appl. Math. 14 (1961) 1–33.

    Article  MathSciNet  MATH  Google Scholar 

  6. Goldenweiser, A. L.: Prikl. Mat. Mek. 4 (1940) 35–42.

    MATH  Google Scholar 

  7. Goldenweiser, A. L.: Theory of Elastic Shells, Pergamon Press 1961.

    Google Scholar 

  8. Goldenweiser, A. L.: Prikl. Mat. Mek. 26 (1962) 668–686.

    Google Scholar 

  9. Goldenweiser, A. L.: Prikl. Mat. Mek. 27 (1963) 593–608.

    Google Scholar 

  10. Günther, W.: Ing.-Arch. 30 (1961) 160–186.

    Article  MathSciNet  MATH  Google Scholar 

  11. Johnson, M. W., and E. Reissner: J. Math. and Phys. 37 (1958) 374–392.

    MathSciNet  Google Scholar 

  12. Knowles, J. K., and E. Reissner: J. Math. and Phys. 35 (1956) 351–358.

    MathSciNet  Google Scholar 

  13. Knowles, J. K., and E. Reissner: J. Math. and Phys. 37 (1958) 269–282.

    MathSciNet  MATH  Google Scholar 

  14. Knowles, J. K., and E. Reissner: J. Appl. Mech. 27 (1960) 104–106.

    Article  MathSciNet  MATH  Google Scholar 

  15. Koiter, W. T.: Proc. IUTAM Symp. on Shells (Delft 1959), 1960, pp. 12-33.

    Google Scholar 

  16. Lurje, A. I.: Prikl. Mat. Mek. 4 (1940) 7–34.

    Google Scholar 

  17. Lurje, A. I.: Prikl. Mat. Mek. 12 (1950) 558–560.

    Google Scholar 

  18. Naghdi, P. M.: Progress in Solid Mechanics 4 (1963) 1–90.

    MathSciNet  Google Scholar 

  19. Novozhilov, V. V.: The theory of thin shells, Leningrad 1951.

    Google Scholar 

  20. Reiss, E. L.: Comm. Pure Appl. Math. 13 (1960) 531–550.

    Article  MathSciNet  MATH  Google Scholar 

  21. Reissner, E.: Amer. J. Math. 63 (1941) 177–184.

    Article  MathSciNet  Google Scholar 

  22. Reissner, E.: J. Appl. Mech. 12 (1945) A 69–A 78.

    MathSciNet  Google Scholar 

  23. Reissner, E.: NACA Report 975, 1950, pp. 1–26.

    Google Scholar 

  24. Reissner, E.: J. Math. and Phys. 31 (1952) 109–119.

    MathSciNet  MATH  Google Scholar 

  25. Reissner, E.: J. Soc. Industr. Appl. Math. 4 (1956) 230–240.

    Article  MathSciNet  Google Scholar 

  26. Reissner, E.: Proc. 1st Symp. Naval Structural Mech. (1958), 1960, pp. 74-114.

    Google Scholar 

  27. Reissner, E.: J. Eng. Mech. Div. Proc. Am. Soc. Civil Eng., 1962, pp. 23-57.

    Google Scholar 

  28. Reissner, E.: Proc. Roy. Soc., London A 276 (1963) 178–186.

    Article  MathSciNet  MATH  Google Scholar 

  29. Reissner, E.: J. Math. and Phys. 42 (1963) 263–277.

    Google Scholar 

  30. Reissner, E.: Intern. J. Eng. Sci. 2 (1964) 27–43.

    Article  MathSciNet  MATH  Google Scholar 

  31. Reissner, E.: J. Appl. Mech. 31 (1964) 245–252

    Article  MathSciNet  MATH  Google Scholar 

  32. Reissner, E.: Schwerin Memorial Volume, 1965, pp. 23-32.

    Google Scholar 

  33. Sanders, J. L.: NASA Report R-24, 1959, pp. 1-11.

    Google Scholar 

  34. Schaefer, H.: Ing.-Arch. 29 (1960) 125–133.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Massachusetts Institute of Technology, Cambridge, Mass., USA

    E. Reissner

Authors
  1. E. Reissner
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Freiburg I. Br., Deutschland

    Henry Görtler

Rights and permissions

Reprints and permissions

Copyright information

© 1966 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Reissner, E. (1966). On the foundations of the theory of elastic shells. In: Görtler, H. (eds) Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-29364-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-29364-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-27863-5

  • Online ISBN: 978-3-662-29364-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation