On considère le modèle dynamique non linéaire de von Kármán pour une plaque mince recouverte d'une fine couche élastique d'épaisseur δ. On applique la méthode des développements asymptotiques formelle pour établir des conditions aux limites approchées modélisant l'effet de la couche mince sur la plaque.
We consider the nonlinear dynamic von Kármán model for a thin plate surrounded by a thin layer of thickness δ. We apply the formal asymptotic expansions method to establish approximate boundary conditions that model the effect of the thin layer.
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Leila Rahmani 1
@article{CRMATH_2006__343_1_57_0, author = {Leila Rahmani}, title = {Conditions aux limites approch\'ees pour une plaque mince non lin\'eaire}, journal = {Comptes Rendus. Math\'ematique}, pages = {57--62}, publisher = {Elsevier}, volume = {343}, number = {1}, year = {2006}, doi = {10.1016/j.crma.2006.04.013}, language = {fr}, }
Leila Rahmani. Conditions aux limites approchées pour une plaque mince non linéaire. Comptes Rendus. Mathématique, Volume 343 (2006) no. 1, pp. 57-62. doi : 10.1016/j.crma.2006.04.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.04.013/
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