Auteur(s):

• G. CHECHKIN
• D. CIORANESCU

Code(s) de Classification MSC:

Réeacute;suméeacute;: Le but de ce travail est de déeacute;crire le comportement asymptotique lorsque l'éeacute;paisseur tend verz zéeacute;ro, d'une plaque non syméeacute;trique avec une frontière oscillant péeacute;riodiquement (i. e. avec une surface rugueuse). Contrairement au cas syméeacute;trique, dans le problème limite bidimensionnel, les déeacute;placements horizontaux et le déeacute;placement vertical sont coupléeacute;s.

Abstract: We study the asymptotic behavior as the thickness goes to zero, of a nonsymmetric locally periodic plate with an oscillating boundary (the ``rough'' boundary). In contrast to the case of plates with symmetric geometry, the limit equations in the nonsymmetric case cannot be decomposed into equations describing the vertical displcement and equations describing the horizontal ones. Due to the absence of symmetry in the initial problem, a nontrivial interrelation between the leading terms of the asymptotic expansion appears. In particular, the limit problem is characterized by the coupling of vertical and horizontal displacements.

Mots Cléeacute;s: ;

Date: 2004-05-01