Analyse asymptotique des jonctions de coques en flexion

Abstract

We consider a multi-structure made of two shells of thickness 2ɛ, having a middle surface of class %plane1D;49E;³ glued together on a part of their boundaries. We suppose that at every point of their intersection, the middle surfaces have distinct tangent planes. We make an assumption on the junction and on the applied body force density, and we identify the limit, when ɛ → 0, of the scaled three-dimensional displacement field for the multi-structure, showing in particular that the limit displacement field does not depend on the transverse variable, is inextensional, and that the angle between the two shells remains the same during the deformation.