Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
Abstract
A phase field approach for structural topology optimization which
allows for topology changes and multiple materials is analyzed. First order
optimality conditions are rigorously derived and it is shown via formally
matched asymptotic expansions that these conditions converge to classical
first order conditions obtained in the context of shape calculus. We also
discuss how to deal with triple junctions where e.g. two materials and the
void meet. Finally, we present several numerical results for mean compliance
problems and a cost involving the least square error to a target
displacement
