|
|
| |
| On Nonlinearly Elastic Membranes under Compression |
| |
Citation： |
Karim TRABELSI.On Nonlinearly Elastic Membranes under Compression[J].Chinese Annals of Mathematics B,2006,27(4):379~392 |
| Page view： 1160
Net amount： 886 |
Authors： |
Karim TRABELSI; |
|
|
| Abstract： |
The classical equations of a nonlinearly elastic plane membrane made of Saint
Venant-Kirchhoff material have been justified by Fox, Raoult and Simo (1993) and Pantz
(2000). We show that, under compression, the associated minimization problem admits
no solution. The proof is based on a result of non-existence of minimizers of non-convex
functionals due to Dacorogna and Marcellini (1995). We generalize the application of their
result from plane elasticity to three-dimensional plane membranes. |
Keywords： |
Nonlinear elasticity, Minimization, Quasiconvexity, Quasiconvex envelope,
Rank-1-convexity |
Classification： |
49J45, 73C50, 74K15 |
|
|
Download PDF Full-Text
|
|
|
|
