caa a22 4500 477036953 CHVBK 20180405111307.0 cr unu---uuuuu 170330e19960101xx s 000 0 eng 10.1007/BF02433810 doi (NATIONALLICENCE)springer-10.1007/BF02433810 The membrane shell model in nonlinear elasticity: A variational asymptotic derivation [Elektronische Daten] [H. Le Dret, A. Raoult] Summary: We consider a shell-like three-dimensional nonlinearly hyperelastic body and we let its thickness go to zero. We show, under appropriate hypotheses on the applied loads, that the deformations that minimize the total energy weakly converge in a Sobolev space toward deformations that minimize a nonlinear shell membrane energy. The nonlinear shell membrane energy is obtained by computing the Γ-limit of the sequence of three-dimensional energies. Springer-Verlag New York Inc., 1996 Le Dret H. Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 75252, Paris Cedex 05, France aut Raoult A. Laboratoire de Modélisation et Calcul, Université Joseph Fourier, BP 53, 38041, Grenoble Cedex 9, France aut Journal of Nonlinear Science Springer-Verlag 6/1(1996-01-01), 59-84 0938-8974 6:1<59 1996 6 332 https://doi.org/10.1007/BF02433810 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02433810 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Le Dret H. Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 75252, Paris Cedex 05, France aut NATIONALLICENCE 700 1- Raoult A. Laboratoire de Modélisation et Calcul, Université Joseph Fourier, BP 53, 38041, Grenoble Cedex 9, France aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 6/1(1996-01-01), 59-84 0938-8974 6:1<59 1996 6 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer