WELL-POSEDNESS FOR KOITER AND NAGHDI SHELLS WITH A G1-MIDSURFACE

Abstract

We extend the notion of G1-join or visually C1 join between two surface patches, that is to say, a continuous join with continuous tangent plane. This notion is familiar in CAD, to the case of surfaces with minimal regularity with respect to linearly elastic shell models. We then prove the well-posedness of various shell models for surfaces defined via a collection of such patches.