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SUMMARY:Simple single-scale interpretations of optimal designs in the cont
 ext of extremal stiffness - Jeroen Peter  Groen  (Technical University of 
 Denmark)
DTSTART:20190611T123000Z
DTEND:20190611T133000Z
UID:TALK125821@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:It is well-known that rank-N laminates can reach the theoretic
 al bounds on strain energy in the context of linear elasticity. The theory
  of homogenization-based topology optimization using this class of composi
 te materials is well-developed\, and can therefore be used to find an over
 all optimal material distribution at low computational cost. A downside of
  these optimal multi-scale designs is that features exist at several lengt
 h-scales limiting the manufacturability. The main contribution of the pres
 ented work is to develop and extend on new methods\, to interpret these de
 signs on a single scale\, while still being close to what is theoretically
  possible.  Using these methods high-resolution near optimal designs can b
 e achieved on a standard PC at low computational cost. Several modificatio
 ns are given\, such as a method to locally adapt microstructure spacing an
 d a method to interpret the single-scale designs as a frame structure.  &n
 bsp\;  Furthermore\, simple microstructures are presented that are optimiz
 ed for multiple anisotropic loading conditions. This is done by approximat
 ing optimal microstructures on a single-scale\, resulting in a performance
  that is close (e.g. 10-15%) to the theoretical bounds. When used as start
 ing guess for topology optimization these proposed microstructures can be 
 further improved\, outperforming topology optimized designs using classica
 l starting guesses both in performance and simplicity.  &nbsp\;  Finally\,
  a class of simple periodic truss lattice structures is presented that exh
 ibits near-optimal performance in the high porosity limit. The performance
  difference between closed and open-walled microstructures is presented fo
 r anisotropic loading situations\, where it is demonstrated that the maxim
 um difference occurs when isotropic microstructures are considered.
LOCATION:Seminar Room 1\, Newton Institute
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