Densités d'énergie et matériaux cristallins

Bernard Brighi; Michel Chipot

Annales de la Faculté des sciences de Toulouse : Mathématiques (1992)

  • Volume: 1, Issue: 1, page 15-24
  • ISSN: 0240-2963

How to cite

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Brighi, Bernard, and Chipot, Michel. "Densités d'énergie et matériaux cristallins." Annales de la Faculté des sciences de Toulouse : Mathématiques 1.1 (1992): 15-24. <http://eudml.org/doc/73291>.

@article{Brighi1992,
author = {Brighi, Bernard, Chipot, Michel},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {stored energy functional; invariance properties; hyperelasticity; minimization},
language = {fre},
number = {1},
pages = {15-24},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Densités d'énergie et matériaux cristallins},
url = {http://eudml.org/doc/73291},
volume = {1},
year = {1992},
}

TY - JOUR
AU - Brighi, Bernard
AU - Chipot, Michel
TI - Densités d'énergie et matériaux cristallins
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1992
PB - UNIVERSITE PAUL SABATIER
VL - 1
IS - 1
SP - 15
EP - 24
LA - fre
KW - stored energy functional; invariance properties; hyperelasticity; minimization
UR - http://eudml.org/doc/73291
ER -

References

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  1. [B] Bourbaki ( N.) .— Topologie Générale, Hermann (1971). Zbl0249.54001MR358652
  2. [C] Chipot ( M.) .— Hyperelasticity for crystals, European J. of Applied Mathematics, 1 (1990) pp. 113-129. Zbl0722.49006MR1117347
  3. [CK] Chipot ( M.) et Kinderleher ( D.) .— Equilibrium configuration of crystals, Arch. Rat. Mech. Analysis, 103, 3 (1988) pp. 237-277. Zbl0673.73012MR955934
  4. [Ci] Ciarlet ( P.G.) .— Elasticité tridimensionnelle, Masson (1986). Zbl0572.73027MR819990
  5. [F1] Fonseca ( I.) .— The lower quasiconvex enveloppe of the stored energy function of an elastic crystal, J. Math. Pures Appl., 67 (1988) pp. 175-195; 107, 3 (1989) pp. 195-223. Zbl0718.73075MR949107
  6. [F2] Fonseca ( I.) .— Phase transitions of elastic solid materials, Arch. Rat. Mech. Analysis. Zbl0751.73005MR1005177
  7. [F3] Fonseca ( I.) .— Variational methods for elastic crystals, Ph'D Thesis, University of Minnesota (1985). 
  8. [GT] Gilbarg ( D.) et Trudinger ( N.S.) .— Elliptic partial differential equations of second order, Springer Verlag (1985). Zbl0562.35001MR737190
  9. [S] Schwartz ( L.) .— Topologie Générale et Analyse Fonctionnelle, Hermann (1970). Zbl0206.06301MR467223

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