Photo of Fabian  Wein

Dr. Fabian Wein

Lehrstuhl für Angewandte Mathematik 2
Nägelsbachstr. 49b
91052 Erlangen
Room: 02.211

Phone: +49 9131 85-20849

Current Project:

Cluster of Excellence: Engineering of Advanced Material

project duration 2007 - 2012
Engineering of Advanced Materials: Research Area A3

Material design by inverse homogenization

The goal of the project is to optimize periodic structures with respect to given constraints which are mostly defined in cooperation with engineers. The applied methods are especially chosen to respect manufacturing constraints and are developed further in this regard. Within the scope of two project cooperations different optimization tasks are investigated. On the one hand we optimize auxetic structures, i. e. ones with a negative Poisson's ratio, and secondly we produce designs for foam-like structures with maximal stiffness. The picture on the left shows a manufactured sample on the top and an animation of the optimization process on the bottom. The fabrication process is based on additive manufacturing through selective electron beam melting using a titanium alloy (Ti-6Al-4V) and allows for a direct translation of CAD models to real world objects. Compression tests can be performed to compare numerical simulation/ optimization results to manufactured structures. The optimization process uses a known structure as initial value and optimizes its properties iteratively.  
Prof. Dr. Michael Stingl, Dipl.-Math. Fabian Schury, M.Sc. Fabian Wein



F. Wein, M. Kaltenbacher, E. Bänsch, G. Leugering, and F. Schury. Topology optimization of a piezoelectric-mechanical actuator with single- and multiple-frequency excitation. In International Journal of Applied Electromagnetics and Mechanics, 30:201-221, 2009.


E. Bänsch, M. Kaltenbacher, G. Leugering, F. Schury and F. Wein. Optimization of Electro-Mechanical Smart Structures. In Birkäuser Special Issue: Constrained Optimization and Optimal Control for Partial Differential Equations. Editors: Prof. Dr. G. Leugerin, Prof. Dr.-Ing. S. Engell, Prof. Dr. A. Griewank, Prof. Dr. M. Hinze, Prof. Dr. Dr. h.c. R. Rannacher, Prof. Dr. V. Schulz, Prof. Dr. M. Ulbrich, Prof. Dr. S. Ulbrich. accepted for publication


F. Wein, M. Kaltenbacher, B. Kaltenbacher, G. Leugering, E. Bänsch, and F. Schury. On the Effect of Self-Penalization of Piezoelectric Composites in Topology Optimization. In Structural and Multidisciplinary Optimization, 43(3):405pp., DOI:10.1007/s00158-010-0570-2, 2011.
J. Schwerdtfeger, F. Schury, F. Wein, G. Leugering, R. F. Singer, C. Körner, M. Stingl. Design of auxetic structures via mathematical optimization. In Advanced Materials, Wiley, 2011, accepted for publication