Affiliations: Université de Kasdi Merbah, Ouargla, Algérie | Université Lille Nord de France, Valenciennes, France
Note: [] Corresponding author: S. Nicaise, FR CNRS 2956, Université Lille Nord de France, UVHC, 59313 Valenciennes Cedex 9, France. E-mail: [email protected]
Abstract: In this paper we study the asymptotic behavior of two-dimensional transmission problems for the linear Koiter model of an elastic multi-structure composed of two thin shells with the same thickness ε<<1. Contrary to the case of membrane shells, the formal limit problem, i.e., for ε=0, fails to give a convenient approximate solution, as the limit problem is ill posed. An appropriate dilation leads to an equivalent problem, for which we prove its strong convergence towards some finite limit.
