Skip to main content
SpringerLink
Log in

Application of convex analysis to the treatment of elastoplastic systems

  • General Lectures
  • Conference paper
  • First Online:
Applications of Methods of Functional Analysis to Problems in Mechanics

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

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. BOURBAKI, N. Elements de Mathématique, Livre VI, Intégration, Paris, Hermann.

    Google Scholar 

  2. CASTAING, C. Sur les multiapplications mesurables. Rev. Franç. Inform. Rech. Operat. 1 (1967), 3–34.

    MathSciNet  Google Scholar 

  3. -Version aléatoire du problème de rafle par un convexe variable, C.R. Acad. Sci. Paris, Sér. A, 277 (1973), 1057–1059.

    MathSciNet  MATH  Google Scholar 

  4. DINCA, G. Sur la monotonie d’après Minty-Browder de l’opérateur de la théorie de la plasticité, C.R. Acad. Sci. Paris, Sér. A, 269 (1969), 535–538.

    MathSciNet  MATH  Google Scholar 

  5. -Opérateurs monotones dans la théorie de plasticité, Ann. Scuola Norm. Sup. Pisa, Sci. Fis. Mat., 24 (1970), 357–399.

    MathSciNet  MATH  Google Scholar 

  6. DUVAUT, G.; LIONS, J. L. Les inéquations en mécanique et en physique, Dunod, 1972.

    Google Scholar 

  7. EKELAND, I.; TEMAM, R. Analyse convexe et problèmes variationnels, Dunod-Gauthier-Villars, 1974.

    Google Scholar 

  8. IOFFE, A. D.; LEVIN, V. L. Subdifferentials of convex functions, Trudy Mosk. Mat. Ob., 1972.

    Google Scholar 

  9. IOFFE, A. D.; TIKHOMIROV, V. M. On the minimization of integral functionals, Funkt. Analiz. 3 (1969) 61–70; see also: Funct. Anal. Appl. 3 (1969), 218–229.

    MathSciNet  MATH  Google Scholar 

  10. KURATOWSKI, K.; RYLL-NARDZEWSKI, C. A general theorem on selectors, Bull. Polish Acad. Sci. 13 (1965), 397–411.

    MathSciNet  MATH  Google Scholar 

  11. LANCHON, H. Torsion elastoplastique d’un arbre cylindrique de section simplement ou multiplement connexe, Thèse, Université de Paris VI, 1972.

    Google Scholar 

  12. LAURENT, P. J. Approximation et optimisation, Hermann, 1972.

    Google Scholar 

  13. LÉNÉ, F. Sur les matériaux élastiques à énergie de déformation non quadratique, J. de Mécanique, 13 (1974), 499–534.

    MATH  Google Scholar 

  14. LEVIN, V. L. On the subdifferential of convex functionals, Uspekhi Mat. Nauk 25 (1970), 183–184.

    Google Scholar 

  15. MICHAEL, E. Continuous selections I, Ann. of Math. 63 (1956), 361–382.

    Article  MathSciNet  MATH  Google Scholar 

  16. MOREAU, J. J. Fonctionnelles sous-différentiables, C. R. Acad. Sci. Paris, Sér. A, 257 (1963), 4117–4119.

    MathSciNet  MATH  Google Scholar 

  17. -Principes extrémaux pour le problème de la naissance de la cavitation, J. de Mécanique, 5 (1966), 439–470.

    MathSciNet  MATH  Google Scholar 

  18. MOREAU, J. J. One-sided constraints in hydrodynamics, in: (J. Abadie, editor) Nonlinear programming, North Holland Pub. Co, 1967, p. 261–279.

    Google Scholar 

  19. MOREAU, J. J. Fonctionnelles convexes, Séminaire sur les Equations aux Dérivées Partielles, Collège de France, Paris, 1966-67 (multigraph, 108 p.).

    Google Scholar 

  20. -La notion de sur-potentiel et les liaisons unilatérales en élastostatique, C. R. Acad. Sci. Paris, Sér. A, 267 (1968), 954–957.

    MathSciNet  MATH  Google Scholar 

  21. -Sur les lois de frottement, de plasticité et de viscosité, C. R. Acad. Sci. Paris, Sér. A, 271 (1970), 608–611.

    Google Scholar 

  22. -Sur l’évolution d’un système élasto-visco-plastique, C. R. Acad. Sci. Paris, Sér. A, 273 (1971), 118–121.

    MathSciNet  MATH  Google Scholar 

  23. -Problème d’évolution associé à un convexe mobile d’un espace hilbertien, C. R. Acad. Sci. Paris, Sér. A, 276 (1973), 791–794.

    MathSciNet  MATH  Google Scholar 

  24. -On unilateral constraints, friction and plasticity, in: (G. Capriz, G. Stampacchia, editors), New Variational Techniques in Mathematical Physics, Centro Internazionale Matematico Estivo, II Ciclo 1973, Edizioni Cremonese, Roma, 1974, p. 175–322.

    Google Scholar 

  25. MOREAU, J. J. La Convexité en Statique, in: (J. P. Aubin, editor), Analyse Convexe et ses Applications, Lecture Notes in Economics and Mathematical Systems, no102 (1974), Springer Verlag, p. 141–167.

    Google Scholar 

  26. NAYROLES, B. Essai de théorie fonctionnelle des structures rigides plastiques parfaites, J. de Mécanique, 9 (1970), 491–506.

    MathSciNet  MATH  Google Scholar 

  27. -Quelques applications variationnelles de la théorie des fonctions duales à la Mécanique des solides, J. de Mécanique, 10 (1971), 263–289

    MathSciNet  MATH  Google Scholar 

  28. NGUYEN, Q. S. Matériaux elasto-visco-plastiques et élastoplastiques à potentiel généralisé, C. R. Acad. Sci. Paris, Sér. A, 277 (1973), 915–918.

    MATH  Google Scholar 

  29. NGUYEN, Q. S.; HALPHEN, B. Sur les lois de comportement elasto-visco-plastique à potentiel généralisé, C. R. Acad. Sci. Paris, Sér. A, 277 (1973), 319–322.

    MATH  Google Scholar 

  30. ROCKAFELLAR, R. T. Integrals which are convex functionals, Pacific J. Math. 24 (1968), 525–539.

    Article  MathSciNet  MATH  Google Scholar 

  31. -Measurable dependence of convex sets and functions on parameters, J. Math. Anal. Appl. 28 (1969), 4–25.

    Article  MathSciNet  MATH  Google Scholar 

  32. ROCKAFELLAR, R. T. Convex Analysis, Princeton U.P., 1970.

    Google Scholar 

  33. -Integrals which are convex functionals, II, Pacific J. Math. 39 (1971), 439–469.

    Article  MathSciNet  MATH  Google Scholar 

  34. ROCKAFELLAR, R. T. Convex integral functionals, in: (E. H. Zarantonello, editor) Contributions to Nonlinear Functional Analysis, Academic Press (1971), 215–236.

    Google Scholar 

Download references

Authors
  1. J. J. Moreau
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Paul Germain Bernard Nayroles

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Moreau, J.J. (1976). Application of convex analysis to the treatment of elastoplastic systems. 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/BFb0088746

Download citation

  • DOI: https://doi.org/10.1007/BFb0088746

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07629-2

  • Online ISBN: 978-3-540-38165-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation