Bibliografie

(eng): We present a mathematical framework for so called multidisciplinary free material optimization (FMO) problems, a branch of structural optimization in which the full material tensor is considered as design variable. We extend the original problem statement dating back to the 1990s by a class of generic constraints depending either on the design or on the state variables. Examples are, for instance, local stress constraints or displacement constraints. We show existence of optimal solutions for this generalized FMO problem and discuss convergent approximation schemes based on the finite element method.