| Title | The Cosserat vector in membrane theory: a variational approach |
| Publication Type | Unpublished |
| Year of Publication | 2008 |
| Authors | Bouchitté G, Fonseca I, Mascarenhas LM |
| Series Title | Preprint |
| Abstract | In a previous article (see [BFM]) the authors studied a model of nonlinear membrane where the external surface loading induces a density of bending moment. Due to the special form of the applied surface forces, the emerging Cosserat vector, resulting from the 3D-2D dimension reduction, was restricted to a class of two dimensional functions. In this paper the full 3D dependence of the Cosserat vector is analyzed via Γ-convergence techniques. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2008/3_08.pdf |