Material optimization for nonlinearly elastic planar beams
Péter Hornung, Martin Rumpf, Stefan Simon · ESAIM Control Optimisation and Calculus of Variations · 2017
We consider the problem of an optimal distribution of soft and hard material for nonlinearly elastic planar beams. We prove that under constant vertical load the optimal distribution involves no microstructure and is ordered, and we provide numerical simulations confirming and extending this observation.