Singular layers for transmission problems in thin shallow shell theory: Elastic junction case
Ismail Merabet, D.A. 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 with the same thickness ε ≪ 1 , in the elastic junction case. We suppose that the loading is singular, that the elastic coefficients are of different order on each part ( O ( ε − 1 ) and O ( 1 ) respectively) and that the elastic stiffness coefficient of the hinge is k ε = O ( ε ) . The formal limit problem fails to give a solution satisfying all boundary and transmission conditions; it gives only the outer solution. We derive the inner limit problem which allows us to describe the transmission layer.