Free Material Optimization for Plates and Shells

  title={Free Material Optimization for Plates and Shells},
  author={Stefanie Gaile and G{\"u}nter Leugering and Michael Stingl},
  booktitle={System Modelling and Optimization},
In this article, we present the Free Material Optimization (FMO) problem for plates and shells based on Naghdi’s shell model. In FMO – a branch of structural optimization – we search for the ultimately best material properties in a given design domain loaded by a set of given forces. The optimization variable is the full material tensor at each point of the design domain. We give a basic formulation of the problem and prove existence of an optimal solution. Lagrange duality theory allows to… CONTINUE READING