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The buckling of a thin elastic plate subjected to unilateral conditions

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Applications of Methods of Functional Analysis to Problems in Mechanics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 503))

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References

  1. B. BUDIANSKY, Theory of buckling and post-buckling behavior of elastic structures, Advance in applied Mechanics, 14, Chia Shun Yih ed., Academic Press (1974).

    Google Scholar 

  2. Cl. DO, Problèmes de valeurs propres d’inéquations variationnelles; application aux plaques minces, International Congress of Mathematicians, Vancouver (1974).

    Google Scholar 

  3. Cl. DO, Problèmes de valeurs propres pour une inéquation variationnelle sur un cône et application au flambement unilatéral d’une plaque mince, C.R. Acad. Sc., A, 280, p. 45–48 (1975).

    MathSciNet  MATH  Google Scholar 

  4. G. DUVAUT and J.L. LIONS, Problèmes unilatéraux dans la théorie de la flexion forte des plaques, J. Méca., 13, No 1, p. 51–74 (1974).

    MathSciNet  MATH  Google Scholar 

  5. G. DUVAUT and J.L. LIONS, Les inéquations en Mécanique et en Physique, Dunod, Paris (1972).

    MATH  Google Scholar 

  6. M.S. BERGER, On von Karman’s Equations and the buckling of thin elastic plate, I, the clamped plate, Comm. Pure Appl. Math, XX, p. 687–719 (1967).

    Article  MATH  Google Scholar 

  7. M.S. BERGER, A bifurcation theory for nonlinear elliptic partial differential equations and related systems, Bifurcation theory and nonlinear ei genvalue problems, J.B. Keller & S. Antman ed., Benjamin (1969).

    Google Scholar 

  8. M. POTIER-FERRY, Problèmes unilatéraux en théorie des plaques non-linéaires, Thèse de 3ème cycle, Univ. de Paris VI (1974).

    Google Scholar 

  9. J.P. DIAS, Vairational inequalities and eigenvalue problems for nonlinear maximal monotone operators in a Hilbert space, à paraître dans Amer. J. Maths.

    Google Scholar 

  10. J.P. DIAS, Un théorème de Sturm-Liouville pour une classe d’opérateurs non-linéaires maximaux monotones, J. Math. Anal. Appl. 47, p. 400–405 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  11. H. BEIRAO-DA-VEIGA and J.P. DIAS, Sur la surjectivité de certains opérateurs non-linéaires liés aux inéquations variationnelles, à paraître dans Bolletino della Unione Matematica Italiana.

    Google Scholar 

  12. J.P. DIAS and J. HERNANDEZ, A Sturm-Liouville theorem for some odd multivalued maps, à paraître dans Proceedings Amer. Math. Soc.

    Google Scholar 

  13. L. LANDAU and E. LIFCHITZ, Théorie de l’élasticité, Physique théorique, t. VII, Editions Mir, Moscow (1967).

    MATH  Google Scholar 

  14. J.J. MOREAU, La notion de sur-potentiel et les liaisons unilatérales en élastostatique, C.R. Acad. Sc., A., 267 p. 954–957 (1968).

    MathSciNet  MATH  Google Scholar 

  15. H. BREZIS, Monotonicity methods in Hilbert space and some applications to nonlinear differential equations, Contribution to nonlinear functional analysis, E.H. Zarantonello ed., Acad. Press, p. 101–156 (1971).

    Google Scholar 

  16. J.L. LIONS and E. MAGENES, Problèmes aux limites non homogènes et applications. Dunod, Paris (1968).

    MATH  Google Scholar 

  17. J. NECAS, Les méthodes directes dans la théorie des équations elliptiques, Acad. Tchécoslovaque des Sciences, Prague (1967).

    Google Scholar 

  18. P. GERMAIN, Mécanique des milieux continus, Masson, Paris (1962).

    MATH  Google Scholar 

  19. M.S. BERGER and P. FIFE, von Karman’s equations and the buckling of a thin elastic plate, II, plate with general edge conditions, Comm. Pure Appl. Math., Vol. XXI, p. 227–241 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  20. M. POTIER-FERRY, Charges limites et théorème d’existence en théorie des plaques élastiques, C.R. Acad. Sc., A, 280, p. 1317–1320, and p. 1385–1387 (1975).

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Université de Nantes (Ecole Nationale Supérieure de Mécanique), France

    Claude DO

  2. Laboratoire de Mécanique Théorique associé au CNRS, Université Paris VI, France

    Claude DO

Authors
  1. Claude DO
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Paul Germain Bernard Nayroles

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© 1976 Springer-Verlag

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DO, C. (1976). The buckling of a thin elastic plate subjected to unilateral conditions. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088766

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  • DOI: https://doi.org/10.1007/BFb0088766

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07629-2

  • Online ISBN: 978-3-540-38165-5

  • eBook Packages: Springer Book Archive

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