@article{M2AN_1986__20_2_315_0, author = {Le Dret, H.}, title = {Incompressible limit behaviour of slightly compressible nonlinear elastic materials}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {315--340}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {20}, number = {2}, year = {1986}, mrnumber = {852684}, zbl = {0617.73040}, language = {en}, url = {http://www.numdam.org/item/M2AN_1986__20_2_315_0/} }
TY - JOUR AU - Le Dret, H. TI - Incompressible limit behaviour of slightly compressible nonlinear elastic materials JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1986 SP - 315 EP - 340 VL - 20 IS - 2 PB - AFCET - Gauthier-Villars PP - Paris UR - http://www.numdam.org/item/M2AN_1986__20_2_315_0/ LA - en ID - M2AN_1986__20_2_315_0 ER -
%0 Journal Article %A Le Dret, H. %T Incompressible limit behaviour of slightly compressible nonlinear elastic materials %J ESAIM: Modélisation mathématique et analyse numérique %D 1986 %P 315-340 %V 20 %N 2 %I AFCET - Gauthier-Villars %C Paris %U http://www.numdam.org/item/M2AN_1986__20_2_315_0/ %G en %F M2AN_1986__20_2_315_0
Le Dret, H. Incompressible limit behaviour of slightly compressible nonlinear elastic materials. ESAIM: Modélisation mathématique et analyse numérique, Volume 20 (1986) no. 2, pp. 315-340. http://www.numdam.org/item/M2AN_1986__20_2_315_0/
[1] Sobolev spaces, Academic Press, New York (1975). | MR | Zbl
,[2] Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rat. Mech. Anal. 63 (1977), pp. 307-403. | MR | Zbl
,[3] Null Lagrangians, weak continuity and variational problems of arbitrary order, J. Functional Analysis 41 (1981), pp. 135-174. | MR | Zbl
, , ,[4] Quasiconvexity at the boundary, positivity of the second variation and elastic stability, Arch. Rat. Mech. Anal. 86 (1984), pp. 251-277. | MR | Zbl
, ,[5] Sur les lois de comportement en élasticité non linéaire compressible, C.R. Acad. Sci. Paris, Série A, 295 (1982), pp. 423-426. | MR | Zbl
, ,[6] The motion of slightly compressible fluids viewed as a motion with strong constraining force, Ann of Math 105 (1977), pp. 141-200. | MR | Zbl
,[7] Spectral properties of certain stiff problems in elasticity and acoustics part II, Pubblicaziom dell' Istituto Matematico del Politecnico di Torino, Serie II, No 21 (1982).
, ,[8] Constitutive laws and existence questions in incompressible nonlinear elasticity, J Elasticity 15 (1985), pp. 369-387. | MR | Zbl
,[9] Les problèmes d'équilibre d'un corps hypérelastique incompressible en grandes déformations, These d'État, Université Pierre et Marie Curie, Paris (1981).
,[10] Réduction à des problèmes de Cauchy-Kowalewska, 2e cicle, CIME, Numerical analysis of partial differential equations, Ispra 1967, Cremonese, Roma (1968). | MR | Zbl
,[11] Topics in nonlinear functional analysis, N Y U Courant Institute Lecture Notes, New York (1974). | MR | Zbl
,[12] Large deformation isotropic elasticity on the correlation of theory and experiment for compressible rubberlike solids, Proc R Soc Lond A 328 (1972), pp. 567-583. | Zbl
,[13] Résolution numérique de quelques problèmes raides en mécanique des milieux faiblement compressibles Calcolo 12 (1975), pp. 275-314. | MR | Zbl
,[14] Études numériques de problèmes d'élasticité non lineaire application au calcul d'elastomeres dans des configurations sévères, These de 3e cycle, Université de Bordeaux I (1984).
,[15] Une méthode d'approximation de la solution des équations de Navier-Stokes, Bull S M F 96 (1968), pp. 115-152. | Numdam | MR | Zbl
,[16] The nonlinear field théories of mechanics, Handbuch der Physik vol III/3, Springer Verlag, Berlin (1965). | MR | Zbl
, ,[17] Sulla differenziabilita dell'operatore di Nemytsky, Rend Acc Naz Lincei 65 (1978), pp. 15-26. | Zbl
,