THE NONLINEAR MEMBRANE MODEL AS VARIATION AL LIMIT OF NONLINEAR 3-DIMENSIONAL ELASTICITY

Authors
LEDRET H RAOULT A
Citation
H. Ledret et A. Raoult, THE NONLINEAR MEMBRANE MODEL AS VARIATION AL LIMIT OF NONLINEAR 3-DIMENSIONAL ELASTICITY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 317(2), 1993, pp. 221-226
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
317
Issue
2
Year of publication
1993
Pages
221 - 226
Database
ISI
SICI code
0764-4442(1993)317:2<221:TNMMAV>2.0.ZU;2-R
Abstract
We consider a cylindrical three-dimensional nonlinear hyperelastic bod y and we let its thickness go to zero. We show, under appropriate hypo theses on the applied loads, that the deformations that minimize the t otal energy weakly converge in a Sobolev space toward deformations tha t minimize a nonlinear membrane energy. The nonlinear membrane energy, is obtained by computing the GAMMA-limit of the three-dimensional ene rgies.