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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Optimizing the elastic response of 3-d printed mat
 erials - Graeme Milton (University of Utah)
DTSTART;TZID=Europe/London:20190610T100000
DTEND;TZID=Europe/London:20190610T110000
UID:TALK125743AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/125743
DESCRIPTION:We address the grand question of identifying the s
 et of possible elasticity tensors (including aniso
 tropic ones) of 3d-printed materials constructed f
 rom a given elastic material with known elastic co
 nstants. We identify many almost optimal geometrie
 s with elasticity tensors arbitrarily near the bou
 ndary of what one can achieve. We characterize man
 y parts of the surface of the set of possible elas
 ticity tensors. This is no easy task as completely
  anisotropic 3d-elasticity tensors live in an 18-d
 imensional space of invariants\, much more than th
 e two invariants (bulk and shear moduli) that char
 acterize isotropic elasticity tensors. We complete
 ly characterize the set of possible (average stres
 s\, average strain) pairs that can exist in these 
 porous materials. Unfortunately\, the geometries w
 e find are rather extreme but this should motivate
  the search for more realistic ones that come clos
 e to having the desired elasticity tensors. Also\,
  not all parts of the surface are characterized fo
 r elastically isotropic composites. Further progre
 ss will require new ideas. This is joint work with
  Marc Briane\, Mohamed Camar-Eddine\, and Davit Ha
 rutyunyan.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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