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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Simple single-scale interpretations of optimal des
igns in the context of extremal stiffness - Jeroen
Peter Groen (Technical University of Denmark)
DTSTART;TZID=Europe/London:20190611T133000
DTEND;TZID=Europe/London:20190611T143000
UID:TALK125824AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/125824
DESCRIPTION:It is well-known that rank-N laminates can reach t
he theoretical bounds on strain energy in the cont
ext of linear elasticity. The theory of homogeniza
tion-based topology optimization using this class
of composite materials is well-developed\, and can
therefore be used to find an overall optimal mate
rial distribution at low computational cost. A dow
nside of these optimal multi-scale designs is that
features exist at several length-scales limiting
the manufacturability. The main contribution of th
e presented work is to develop and extend on new m
ethods\, to interpret these designs on a single sc
ale\, while still being close to what is theoretic
ally possible. Using these methods high-resolutio
n near optimal designs can be achieved on a standa
rd PC at low computational cost. Several modificat
ions are given\, such as a method to locally adapt
microstructure spacing and a method to interpret
the single-scale designs as a frame structure. &n
bsp\; Furthermore\, simple microstructures are pr
esented that are optimized for multiple anisotropi
c loading conditions. This is done by approximatin
g optimal microstructures on a single-scale\, resu
lting in a performance that is close (e.g. 10-15%)
to the theoretical bounds. When used as starting
guess for topology optimization these proposed mic
rostructures can be further improved\, outperformi
ng topology optimized designs using classical star
ting guesses both in performance and simplicity.
\; Finally\, a class of simple periodic trus
s lattice structures is presented that exhibits ne
ar-optimal performance in the high porosity limit.
The performance difference between closed and ope
n-walled microstructures is presented for anisotro
pic loading situations\, where it is demonstrated
that the maximum difference occurs when isotropic
microstructures are considered.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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