Justification de modèles de plaques non linéaires pour des lois de comportement générales

Jean-Louis Davet

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1986)

  • Volume: 20, Issue: 2, page 225-249
  • ISSN: 0764-583X

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Davet, Jean-Louis. "Justification de modèles de plaques non linéaires pour des lois de comportement générales." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 20.2 (1986): 225-249. <http://eudml.org/doc/193475>.

@article{Davet1986,
author = {Davet, Jean-Louis},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Two-dimensional models; nonlinear elastic plate theory; asymptotic expansion methods; three-dimensional constitutive equation; linear with respect to the ``full'' strain tensor; St. Venant-Kirchhoff material},
language = {fre},
number = {2},
pages = {225-249},
publisher = {Dunod},
title = {Justification de modèles de plaques non linéaires pour des lois de comportement générales},
url = {http://eudml.org/doc/193475},
volume = {20},
year = {1986},
}

TY - JOUR
AU - Davet, Jean-Louis
TI - Justification de modèles de plaques non linéaires pour des lois de comportement générales
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1986
PB - Dunod
VL - 20
IS - 2
SP - 225
EP - 249
LA - fre
KW - Two-dimensional models; nonlinear elastic plate theory; asymptotic expansion methods; three-dimensional constitutive equation; linear with respect to the ``full'' strain tensor; St. Venant-Kirchhoff material
UR - http://eudml.org/doc/193475
ER -

References

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  1. J. M. BALL (1977), Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rational Mech. Anal. 63, 337-403. Zbl0368.73040MR475169
  2. D. BLANCHARD, P. G. CIARLET (1983), A remark on the von Karman equations, Comput. Methods Appl. Mech. Engrg. 37, 79-92. Zbl0486.73051MR699016
  3. P. G. CIARLET (1980), A justification of the von Karman equations, Arch. Rational Mech. Anal. 73, 349-389. Zbl0443.73034MR569597
  4. P. G. CIARLET (1981), Two dimensional approximations of three-dimensional models in nonlinear plate theory, Proc. IUTAM, Symposium on Finite Elasticity, Martinus Nijhoff Pub. The Hague/ Boston/London. Zbl0515.73059MR676663
  5. P. G. CIARLET (1984), Lectures on Three-dimensional Elasticity (Notes by S. Kesavan); Tata Institute Lectures on Mathematics, Springer-Verlag, Berlin. Zbl0542.73046MR730027
  6. P. G. CIARLET, G. GEYMONAT (1982), Sur les lois de comportement en élasticité non linéaire compressible, C.R. Acad. Sci. Paris, Série A. Zbl0497.73017MR695540
  7. P. G. CIARLET, P. DESTUYNDER (1979), A justification of a nonlinear model in plate theory, Comput. Methods Appl. Mech. Engrg. 17/18, 227-258. Zbl0405.73050MR533827
  8. J. L. DAVET (1982), Détermination expérimentale des densités d'énergie en élasticité non linéaire, Rapport D.E.A., Laboratoire Analyse Numérique, Université Pierre et Marie Curie, Paris 6. 
  9. J. L. DAVET (1985), Thèse Université Pierre et Marie Curie, Paris, à paraître. 
  10. P. DESTUYNDER (1984), Théorie Asymptotique des Plaques Minces, Masson, Paris, à paraître. 
  11. J. E. MARSDEN, T. J. R. HUGUES (1978), Topics in the mathematical foundations of elasticity, in Nonlinear Analysis and Mechanics: Heriot-Wyatt Symposium, Vol. 2, pp. 30-285, Pitman, Londres. MR576233
  12. T. VALENT (1979), Teoremi di esistenza e unicita in elastostatica finita, Rend. Sem. Mat. Univ. Padova 60, 165-181. Zbl0425.73011
  13. C. C. WANG, C. TRUESDELL (1973), Introduction to Rational Elasticity, Nordhoff, Groningen. Zbl0308.73001MR468442

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