Etude critique de quelques formulations de la théorie des coques en vue de l'application aux éléments finis

Surface geometry and shell geometry, in the frame of general tensor calculus. Fundamentals of the theory of thin shells. Expressing strains from curvilinear components of the displacements. Applicability of the preceeding theory to finite elements. Expressing strains from the cartesian components of the displacements. Moderate rotation theory (curvilinear components). Moderate rotation theory (cartesian components). Quasi-plane and almost-plane shells. Shells with shearing strains (cartesian components). Shells with shear strains (curvilinear components). Moderate rotations of a shell with shear strains (curvilinear components). Re-interpretation and generaisation of Marguerre shallow shells. Conical shells. Quasi-conical shells. Axisymmetrical shells in cylindrical components. Annex : an introduction of the elasticity theory in curvilinear coordinates.Bibliography