Numerical optimization of shape microstructures (C06)

• Subject Area: Mathematics
• Term: since 2013
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 211504053

This project deals with microstructures arising in elastic shape optimization in the context of bulk elasticity and thin elastic structures. A particular focus is on structures, which can be manufactured using 3D printing devices and their use for the optimization of biocompatible polymer scaffolds in bone tissue engineering. To this end, free material optimization on the macro-scale will be combined with optimal, printable cell structures on the micro-scale. Thereby, methods for shape optimization under stochastic loading and risk averse optimization strategies will be applied. Furthermore, we will investigate the a posteriori control of the modeling error in the context of printable microstructures. Finally, shape optimization methods will be used to understand microstructures in shape memory materials.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1060: The Mathematics of Emergent Effects
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Heads: Professor Dr. Sergio Conti; Professor Dr. Martin Rumpf