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Meccanica

, Volume 16, Issue 3, pp 123–127 | Cite as

The Ritz method in solving unilateral problems in elasticity

  • P. Villaggio
Article

Summary

The Ritz method is applied to solve a class of unilateral problems with soft obstacles. The method is useful both to prove the existence of a solution and to give a constructive procedure for it.

Keywords

Mechanical Engineer Civil Engineer Alla Ritz Method Constructive Procedure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Sommario

Si applica il metodo di Ritz alla soluzione di una certa classe di problemi unilaterali con ostacoli soffici. Il metodo è adatto sia a dimostrare l'esistenza di una soluzione, sia a darne un procedimento costruttivo.

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References

  1. [1]
    Hammerstein A.,Nichtlineare Integralgleichungen nebst Anwendungen, Acta Math. Vol.54, 117–176, 1930.Google Scholar
  2. [2]
    Dickey R. W.,Nonlinear Bending of Circular Plates, SIAM Journ. Appl. Math. Vol.30, 153–188, 1969.Google Scholar
  3. [3]
    Lewy H., Stampacchia G.,On the Regularity of the Solutions of a Variational Inequality, Com. Pure Appl. Math. Vol.22, 153–188, 1969.Google Scholar
  4. [4]
    Courant R. andHilbert D.,Methods of Mathematical Physics, Vol. 1. New York: Interscience 1953.Google Scholar
  5. [5]
    Lions J. L. etMagenes E.,Problèmes aux limites non homogènes et applications, Vol. 1. Paris: Dunod 1968.Google Scholar
  6. [6]
    Weinberger H. F.,Partial Differential Equations (A first course), Whaltam: Blaisdell 1965.Google Scholar

Copyright information

© Pitagora Editrice Bologna 1981

Authors and Affiliations

  • P. Villaggio
    • 1
  1. 1.Istituto di Scienza delle CostruzioniUniversità di PisaItaly

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