Critical points in the energy of hyperelastic materials
Quintela-Estevez, P.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 24 (1990), p. 103-132 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1990-01-01
@article{M2AN_1990__24_1_103_0,
     author = {Quintela-Estevez, P.},
     title = {Critical points in the energy of hyperelastic materials},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {24},
     year = {1990},
     pages = {103-132},
     mrnumber = {1034901},
     zbl = {0692.73015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1990__24_1_103_0}
}

Quintela-Estevez, P. Critical points in the energy of hyperelastic materials. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 24 (1990) pp. 103-132. http://gdmltest.u-ga.fr/item/M2AN_1990__24_1_103_0/

R. A. Adams (1975) : Sobolev Spaces, Academic Press, New York. | MR 450957 | Zbl 0314.46030

J. M. Ball[ 1977] : Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal. 63, 337-403. | MR 475169 | Zbl 0368.73040

J. M. Ball,J. C. Currie,P. J. Olver [ 1981] : Null Lagrangians, weak continuity and variational problems of arbitrary order. J. Functional Analysis -41, 135-174. | MR 615159 | Zbl 0459.35020

J. M. Ball,R. J. Knops,J. E. Marsden [ 1978] : Two examples in nonlinear elasticity. Proceedings, Conferences on Nonlinear Analysis, Besançon 1977, pp. 41-49, Springer-Verlag, Berlin. | MR 519421 | Zbl 0386.73012

P. G. Ciarlet [ 1986] : Élasticité Tridimensionnelle, Collection Recherches en Mathématiques Appliquées, Masson. | MR 819990 | Zbl 0572.73027

P. G. Ciarlet [ 1987] : Mathematical Elasticity, vol. I. North Holland, Amsterdam. | MR 936420 | Zbl 0648.73014

P. G. Ciarlet,G. Geymonat [ 1982] : Sur les lois de comportement en élasticité non linéaire compressible. C.R. Acad. Sci. Paris. Ser. A 295, 423-426. | MR 695540 | Zbl 0497.73017

P. G. Ciarlet,J. Necas [ 1985] : Global invertibility and self-contact conditions, in nonlinear, three-dimensional elasticity, to appear.

D. R. J. Chillingworth,J. E. Marsden,Y. H. Wan [ 1982] : Symmetry and bifurcation in three dimensional elasticity. Part. I. Arch. Rational Mech. Anal. 80, 295-331. | MR 677564 | Zbl 0509.73018

D. R. J. Chillingworth,J. E. Marsden,Y. H. Wan[ 1983] : Symmetry and bifurcation in three dimensional elasticity. Part II. Arch. Rational Mech. Anal. 83, 363-395. | MR 714980 | Zbl 0536.73010

R. J. Knops, L. E. Payne [ 1978] : On potential wells and stability in nonlinear elasticity. Math. Proc. Camb. Phil. Soc. 84, 177-190. | MR 471533 | Zbl 0384.73026

Le Dret [ 1987] : Structure of the set of equilibrated loads in nonlinear elasticity and applications to existence and nonexistence. J. Elasticity 17, 123-141. | MR 885602 | Zbl 0654.73029

J. E. Marsden,T. J. R. Hughes [ 1983] : Mathematical Foundations of Elasticity. Prentice-Hall, Englewood Cliffs. | Zbl 0545.73031

A. Raoult [ 1986] : Non-polyconvexity of the stored energy function of a St. Venant-Kirchhoff material. Aplikace Matematiky. | Zbl 0608.73023

T. Valent [ 1979] : Teoremi di esistenza e unicita in elastostatica finita. Rend. Sem. Mat. Univ. Padova 60, 165-181. | Numdam | Zbl 0425.73011

C.-C. Wang,C. Truesdell [ 1973] : Introduction to Rational Elasticity. Noordhoff, Groningen. | MR 468442 | Zbl 0308.73001