| Автор | Karamian, Philippe |
| Автор | Sanchez-Hubert, Jacqueline |
| Автор | Palencia, Évarisite Sanchez |
| Дата выпуска | 2000 |
| dc.description | We consider a model problem (with constant coefficients and simplified geometry) for the boundary layer phenomena which appear in thin shell theory as the relative thickness ε of the shell tends to zero. For ε = 0 our problem is parabolic, then it is a model of developpable surfaces. Boundary layers along and across the characteristic have very different structure. It also appears internal layers associated with propagations of singularities along the characteristics. The special structure of the limit problem often implies solutions which exhibit distributional singularities along the characteristics. The corresponding layers for small ε have a very large intensity. Layers along the characteristics have a special structure involving subspaces; the corresponding Lagrange multipliers are exhibited. Numerical experiments show the advantage of adaptive meshes in these problems. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 2000 |
| Тема | Shells |
| Тема | boundary layers |
| Тема | singular perturbation. |
| Название | A model problem for boundary layers of thin elastic shells |
| Тип | research-article |
| DOI | 10.1051/m2an:2000128 |
| Electronic ISSN | 1290-3841 |
| Print ISSN | 0764-583X |
| Журнал | ESAIM: Mathematical Modelling and Numerical Analysis |
| Том | 34 |
| Первая страница | 1 |
| Последняя страница | 30 |
| Аффилиация | Karamian Philippe; Laboratoire de Mécanique, Université de Caen, Boulevard Maréchal Juin, 14032 Caen Cedex, France. |
| Аффилиация | Sanchez-Hubert Jacqueline; Laboratoire de Modélisation en Mécanique, Université Paris VI, 4 place Jussieu, 75252 Paris Cedex 05, France; Laboratoire de Mécanique, Université de Caen, Boulevard Maréchal Juin, 14032 Caen Cedex, France.Laboratoire de Modélisation en Mécanique, Université Paris VI, 4 place Jussieu, 75252 Paris Cedex 05, FranceLaboratoire de Modélisation en Mécanique, Université Paris VI, 4 place Jussieu, 75252 Paris Cedex 05, France. (sanchez@lmm.jussieu.fr) |
| Аффилиация | Palencia Évarisite Sanchez; Laboratoire de Mécanique, Université de Caen, Boulevard Maréchal Juin, 14032 Caen Cedex, France.Laboratoire de Modélisation en Mécanique, Université Paris VI, 4 place Jussieu, 75252 Paris Cedex 05, FranceLaboratoire de Modélisation en Mécanique, Université Paris VI, 4 place Jussieu, 75252 Paris Cedex 05, France. (sanchez@lmm.jussieu.fr) |
| Выпуск | 1 |
