Skip to main content
SpringerLink
Log in

Improving the convergence of straight iterations in nonlinear problems pertaining to flexible plates and hollow shells

  • Published:
Soviet Applied Mechanics Aims and scope

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

Literature Cited

  1. N. V. Valishvili, “An algorithm for the solution of nonlinear boundary-value problems,” Prikl. Matem. i Mekhan.,32, No. 6 (1968).

  2. I. I. Vorovich, “Some direct methods in the nonlinear theory of hollow shells,” Prikl. Matem. i Mekhan.,20, No. 4 (1956).

  3. S. P. Gavelya, “Reduction of fundamental boundary-value problems in the theory of hollow shells to regular Fredholm equations,” Differ. Urav.,4, No. 7. (1968).

  4. Ya. F. Kayuk and M. K. Alekseeva, “State of stress in flexible plates of polymer material with a hole,” Mekhan. Poli., No. 4 (1971).

  5. Ya. F. Kayuk and M. K. Alekseeva, “Accelerating the convergence of successive approximations in geometrically nonlinear problems,” Prikl. Mekhan.,7, No. 5, (1971).

  6. N. A. Kil'chevskii, Fundamentals of Analytical Mechanics of Shells [in Russian], Izd. Naukova Dumka, Kiev (1962).

    Google Scholar 

  7. M. S. Kornishin, Nonlinear Problems in the Theory of Plates and Shells [in Russian], Izd. Nauka, Moscow (1964).

    Google Scholar 

  8. L. A. Lyusternik and V. I. Sobolev, Elements of Functional Analysis [in Russian], Fizmatgiz, Moscow (1965).

    Google Scholar 

  9. I. V. Svirskii, Methods of the Bubnov-Galerkin Type and of Successive Approximations [in Russian], Izd. Nauka, Moscow (1968).

    Google Scholar 

  10. V. I. Feodos'ev, A Method of Solving Nonlinear Problems Pertaining to the Stability of Deformable Bodies [in Russian], Fizmatgiz, Moscow (1965).

    Google Scholar 

  11. O. Perron, “A generalization of the Euler-series transform,” Matem. Zeitschr. No. 18 (1923).

Download references

Authors
  1. Ya. F. Kayuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 10, No. 11, pp. 47–55, November, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kayuk, Y.F. Improving the convergence of straight iterations in nonlinear problems pertaining to flexible plates and hollow shells. Soviet Applied Mechanics 10, 1193–1199 (1974). https://doi.org/10.1007/BF00882113

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00882113

Keywords

Search

Navigation