Singular layers for transmission problems in thin shallow shell theory: Rigid junction case
Ismail Merabet, Djamal Ahmed Chacha, Serge Nicaise · Comptes Rendus Mécanique · 2010
In this Note we study two-dimensional transmission problems for the linear Koiter's model of an elastic multi-structure composed of two thin shallow shells. This work enters in the framework of singular perturbation of problems depending on a small parameter ε . The formal limit problem fails to give a solution satisfying all boundary and transmission conditions; it gives only the outer solution. Both in the case of regular or singular loadings, we derive a limit problem which allows us to determine the inner solution explicitly.