Keynote Presentation
Multi-scale Topology Optimization

Ole Sigmund, Villum Investigator, Department of
Mechanical Engineering, Technical University of Denmark

Topology optimization was introduced as a multi-scale approach in the
seminal paper by Bendsøe and Kikuchi in 1988. However, simpler isotropic density
interpolation schemes soon substituted the original homogenization-based
approach and have contributed to the breathtaking development of topology
optimization methods – lately further spurred by the popularization and availability
of advanced 3D printing techniques making it possible to realize complex,
highly optimized topology optimized structures.
Multi-scale or homogenization-based topology optimization approaches
have recently been revived, partly to save computational costs in giga-resolution
studies and partly due to the possibility of building structures with architected
infill through additive manufacturing techniques.
The seminar will give an overview of various techniques to perform
multi-scale topology optimization and how to extract optimized designs
through subsequent de-homogenization. This talk includes discussions of what
microstructures are optimal for what loading conditions. For example, closed walled
microstructures are known to be stiffness optimal but may fail due to
local buckling for low volume fractions.

Ole Sigmund is a world leading researcher within topology optimization.
He is a Professor and Villum Investigator in the Department of Mechanical
Engineering, Technical University of Denmark (DTU). He obtained his Ph.D. degree
in 1994 and Habilitation in 2001 and has held research positions at University
of Essen and Princeton University. He is a member of the Danish Academy
of Technical Sciences and the Royal Academy of Science and Letters and
is the former President (2011-15, now EC member) of ISSMO (International Society
of Structural and Multidisciplinary Optimization) and former Chairman of
DCAMM (Danish Center for Applied Mathematics and Mechanics, 2004-2010).
Together with Noboru Kikuchi and Martin Bendsøe, Ole Sigmund is one of the
founders and present main contributors to the development of topology optimization
methods in academia and industry. His prolific publishing record
including 200+ scientific papers and texbook on Topology Optimization have
received numerous citations in the literature (see Google Scholar).