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SUMMARY:Optimizing the elastic response of 3-d printed materials - Graeme 
 Milton (University of Utah)
DTSTART:20190610T090000Z
DTEND:20190610T100000Z
UID:TALK125743@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We address the grand question of identifying the set of possib
 le elasticity tensors (including anisotropic ones) of 3d-printed materials
  constructed from a given elastic material with known elastic constants. W
 e identify many almost optimal geometries with elasticity tensors arbitrar
 ily near the boundary of what one can achieve. We characterize many parts 
 of the surface of the set of possible elasticity tensors. This is no easy 
 task as completely anisotropic 3d-elasticity tensors live in an 18-dimensi
 onal space of invariants\, much more than the two invariants (bulk and she
 ar moduli) that characterize isotropic elasticity tensors. We completely c
 haracterize the set of possible (average stress\, average strain) pairs th
 at can exist in these porous materials. Unfortunately\, the geometries we 
 find are rather extreme but this should motivate the search for more reali
 stic ones that come close to having the desired elasticity tensors. Also\,
  not all parts of the surface are characterized for elastically isotropic 
 composites. Further progress will require new ideas. This is joint work wi
 th Marc Briane\, Mohamed Camar-Eddine\, and Davit Harutyunyan.
LOCATION:Seminar Room 1\, Newton Institute
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