Displacement Derivatives in Shape Optimization of Thin Shells
Résumé
In the present paper the framework for the shape sensitivity analysis of systems of equations defined on a surface in $\bbbr^3$ is established. The model of thin shell presented in Koiter, 1970 is considered. The formulation of the model in a reference domain has been chosen for our analysis. The shape gradients and shape Hessians of associated shape functionals are defined and evaluated using the so-called displacement derivatives.