Finite Element Methods for Thin Shell Problems

Partial table of contents: GENERAL PRESENTATION OF THIN SHELL EQUATIONS EXISTENCE AND UNIQUENESS RESULTS Description of the Geometry of a Thin Shell The Linear Model of Koiter APPROXIMATIONS OF KOITER'S MODEL BY VARIOUS FINITE ELEMENT METHODS Mixed Finite Element Methods JOINT APPROXIMATION OF THE GEOMETRY AND OF THE DISPLACEMENT OF THE SHELL Approximation by Flat Facets Junctions Between Thin Shells LINEAR BUCKLING OF A GENERAL THIN SHELL Increase in Total Potential Energy of a Thin Elastic Shell Numerical Results SHAPE OPTIMIZATION OF THIN ELASTIC SHELLS UNDER VARIOUS CRITERIA Derivative of a Functional with Respect to the Shell Geometry From Equations to Program References Index of Quoted Authors Glossary of Symbols Subject Index.