Skip to main content
SpringerLink
Log in

Asymptotic properties of steep solutions in shells

  • Published:
Meccanica Aims and scope Submit manuscript

Sommario

La teoria del guscio piatto presenta analogia con quella degli stati con distribuzione ripida nel guscio curvo: tuttavia le semplificazioni ammissibili nelle due accezioni presentano differenze che l'analisi asintotica mette in rilievo.

Si indicano le distribuzioni di forze esterne o dislocazioni lungo le normali alla superficie media per le quali soluzioni particolari sono costruibili mediante il sistema differenziale in esame.

Summary

Analogies in formulation and discrepancies in admissibile simplifications in application, between theories for stress states in shallow shells and for steep solutions in non-shallow shells, are noticed.

Distributions of external forces or dislocations along the normals to the midsurface for which particular solutions can be constructed by means of the differential system under consideration, are defined in asymptotic form.

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

References

  1. Cicala P.,Systematic approximation approach to linear shell theory, Levrotto & Bella, Torino, 1965. A renovated edition of the first 5 Chapters inLinear shell theories. An asymptotic approach, Levrotto & Bella, Torino, 1978.

    Google Scholar 

  2. Green A. E., Zerna W.,Theoretical elasticity, Oxford, 1954.

  3. Von Karman T.,Enzyklopädie der matematischen Wissenschaften, Vol. 4, 1910, p. 349.

    Google Scholar 

  4. Wlassow W. S.,Allgemeine Schalentheorie und ihre Anwendung in der Technik, Akad. Verlag, Berlin 1958, referring to a 1944 paper (P.M.M., Vol. 8, No. 2).

    Google Scholar 

  5. Cicala P., Algostino F.,Discretization method for elastic plates and shells, AIMETA Res. Rep. No. 1, 1972. A finite difference formulation is arrived at through the concepts of finite elements with the advantage of including boundary conditions in the same frame and satisfying the Betti symmetry.

Download references

Author information

Authors and Affiliations

  1. Politecnico di Torino, Italy

    Placido Cicala (Professor)

Authors
  1. Placido Cicala
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cicala, P. Asymptotic properties of steep solutions in shells. Meccanica 14, 97–102 (1979). https://doi.org/10.1007/BF02133455

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02133455

Keywords

Search

Navigation