Anza Hafsa, O; Mandallena, J P (2006). The nonlinear membrane energy: Variational derivation under the constraint “det∇u≠0”. Journal de Mathematiques Pures et Appliquees, 86(2):100-115.
Acerbi, Buttazzo and Percivale gave a variational definition of the nonlinear string energy under the constraint “det∇u>0” (see [E. Acerbi, G. Buttazzo, D. Percivale, A variational definition of the strain energy for an elastic string, J. Elasticity 25 (1991) 137–148]). In the same spirit, we obtain the nonlinear membrane energy under the simpler constraint “det∇u≠0”.
Acerbi, Buttazzo and Percivale gave a variational definition of the nonlinear string energy under the constraint “det∇u>0” (see [E. Acerbi, G. Buttazzo, D. Percivale, A variational definition of the strain energy for an elastic string, J. Elasticity 25 (1991) 137–148]). In the same spirit, we obtain the nonlinear membrane energy under the simpler constraint “det∇u≠0”.
| Other titles: | The nonlinear membrane energy: variational derivation under the constraint "det\nabla u>0" |
|---|---|
| Item Type: | Journal Article, refereed, original work |
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Dimensional reduction, Γ-convergence, Relaxation, Nonlinear membrane, Determinant constraint |
| Language: | English |
| Date: | 2006 |
| Deposited On: | 04 Jan 2010 15:17 |
| Last Modified: | 03 Dec 2023 02:41 |
| Publisher: | Elsevier |
| ISSN: | 0021-7824 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/j.matpur.2006.01.004 |
| Related URLs: | http://arxiv.org/abs/math/0507310 |
Anza Hafsa, O