A VARIATIONAL DERIVATION OF THE NONLINEAR MEMBRANE SHELL-MODEL

Authors
LEDRET H RAOULT A
Citation
H. Ledret et A. Raoult, A VARIATIONAL DERIVATION OF THE NONLINEAR MEMBRANE SHELL-MODEL, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(4), 1995, pp. 511-516
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
4
Year of publication
1995
Pages
511 - 516
Database
ISI
SICI code
0764-4442(1995)320:4<511:AVDOTN>2.0.ZU;2-U
Abstract
We consider a three-dimensional nonlinearly hyperelastic shell and we let its thickness go to zero. We show, under appropriate hypotheses on the applied loads, that the deformations that minimize the total ener gy weakly converge in a Sobolev space toward deformations that minimiz e a nonlinear membrane shell energy. The nonlinear membrane shell ener gy is obtained by computing the Gamma-limit of the three-dimensional e nergies.