Skip to main content
SpringerLink
Log in

Die rotationssymmetrische dünne Zylinderschale aus ideal-plastischem Material

  • Originalarbeiten
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Summary

II. In the second part of this paper post-elastic deformations of an elastic-plastic cylindrical shell are considered. For the relatively simple case of an infinite shell subjected to a ring force the various phases accompanying the settling of plastic deformations are discussed in detail. It is shown by numerical treatment of the exact differential equations that the deformations remain small in the elastic-plastic phase up to more than 90% of the exact collapse load predicted by the rigid plastic analysis, but that nevertheless they tend to infinity as this collapse load is approached.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literaturverzeichnis

  1. W. Prager undP. G. Hodge, Jr.,Theorie ideal plastischer Körper, S. 4 (Springer Verlag, Wien 1954).

    Google Scholar 

  2. W. Prager,Probleme der Plastizitätstheorie, S. 39 (Birkhäuser Verlag, Basel 1955).

    Google Scholar 

  3. D. C. Drucker,Limit Analysis of Cylindrical Shells under Axially-Symmetric Loading, Proc. 1st Midwestern Conf. Solid Mech., Urbana III., S. 158–163 (1953).

  4. P. G. Hodge, Jr.,The Rigid-Plastic Analysis of Symmetrically Loaded Cylindrical Shells, J. appl. Mech.21, 336–342 (1954).

    Google Scholar 

  5. P. G. Hodge, Jr.,Limit Analysis of Rotationally Symmetric Plates and Shells, Prentice Hall (Int. Series in Theor. and Appl. Mech.) (1963).

  6. G. Eason andR. T. Shield,The Influence of Free Ends on the Load Carrying Capacities of Cylindrical Shells, J. Mech. Phys. Solids4, 17–27 (1955).

    Google Scholar 

  7. G. Eason,The Load Carrying Capacities of Cylindrical Shells Subjected to a Ring of Force, J. Mech. Phys. Solids7, 169–182 (1959).

    Google Scholar 

  8. M. Sayir,Kollapsbelastung von rotationssymmetrischen Zylinderschalen, Z. angew. Math. Phys.17, 353–360 (1966).

    Google Scholar 

  9. P. G. Hodge, Jr.,Displacements in an Elastic-Plastic Cylindrical Shell. J. appl. Mech.23, 73–79 (1956).

    Google Scholar 

  10. P. G. Hodge, Jr.,Carrying-Capacity of Elastic-Plastic Shells under Hydrostatic Pressure, Proc. 3rd U.S. Nat. Cong. appl. Mech. S. 631–639 (1958).

  11. P. Klement,Theorie der elastisch-plastischen Zylinderschale, Öst. Ing. Arch.16, 3, 199–211 (1962)

    Google Scholar 

  12. E. T. Onat,Plastic Collapse of Cylindrical Shells under Axially Symmetrical Loading, Q. appl. Math.13, 63–72 (1955).

    Google Scholar 

  13. S. P. Timoshenko andS. Woinowsky-Krieger,Theory of Plates and Shells, S. 466–481, (McGraw-Hill, New York 1959).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lehrstuhl für Mechanik, Eidg. Technische Hochschule, Zürich

    Mahir Sayir

Authors
  1. Mahir Sayir
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

I. Teil s. ZAMP19; 185 (1968).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sayir, M. Die rotationssymmetrische dünne Zylinderschale aus ideal-plastischem Material. Journal of Applied Mathematics and Physics (ZAMP) 19, 447–472 (1968). https://doi.org/10.1007/BF01595420

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01595420

Search

Navigation