An alternative to the approximation of general thin shell problems by flat plate elements (Parts 1 and 2) is proposed: the middle surface is now approached by curved triangular facets. It consists of aP2-Lagrange interpolation of the geometry of the shell, while the displacement field is approximated by triangles of type (1) for the membrane components and by reduced H.C.T. triangles for the bending component. To make the implementation easier, we also consider the addition of the drilling degree of freedom as a sixth independent degree of freedom by node (Part 2). We prove the convergence of the method for arbitrary thin shells.
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