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DTSTAMP:20240214T070242Z
LOCATION:Meeting Room C4.9+C4.10\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231212T153000
DTEND;TZID=Australia/Melbourne:20231212T154500
UID:siggraphasia_SIGGRAPH Asia 2023_sess161_papers_822@linklings.com
SUMMARY:Computational Design of Flexible Planar Microstructures
DESCRIPTION:Technical Papers\n\nZhan Zhang (University of California Davis
 ); Christopher Brandt (1000shapes GmbH); Jean Jouve (University Grenoble A
 lpes Inria, CNRS, Grenoble INP, LJK); Yue Wang and Tian Chen (University o
 f Houston); Mark Pauly (Ecole Polytechnique Fédérale de Lausanne); and Jul
 ian Panetta (University of California Davis)\n\nMechanical metamaterials e
 nable customizing the elastic properties of physical objects by altering t
 heir fine-scale structure. A broad gamut of effective material properties 
 can be produced even from a single fabrication material by optimizing the 
 geometry of a periodic microstructure tiling. Past work has extensively st
 udied the capabilities of microstructures in the small-displacement regime
 , where periodic homogenization of linear elasticity yields computationall
 y efficient optimal design algorithms. However, many applications involve 
 flexible structures undergoing large deformations for which the accuracy o
 f linear elasticity rapidly deteriorates due to geometric nonlinearities. 
 Design of microstructures at finite strains involves a massive increase in
  computation and is much less explored; no computational tool yet exists t
 o design metamaterials emulating target hyperelastic laws over finite regi
 ons of strain space.\n\nWe make an initial step in this direction, develop
 ing algorithms to accelerate homogenization and metamaterial design for no
 nlinear elasticity and building a complete framework for the optimal desig
 n of planar metamaterials. Our nonlinear homogenization method works by ef
 ficiently constructing an accurate interpolant of a microstructure's defor
 mation over a finite space of macroscopic strains likely to be endured by 
 the metamaterial. From this interpolant, the homogenized energy density, s
 tress, and tangent elasticity tensor describing the microstructure's effec
 tive properties can be inexpensively computed at any strain. Our design to
 ol then fits the effective material properties to a target constitutive la
 w over a region of strain space using a parametric shape optimization appr
 oach, producing a directly manufacturable geometry. We systematically test
  our framework by designing a catalog of materials fitting isotropic Hooke
 's laws as closely as possible. We demonstrate significantly improved accu
 racy over traditional linear metamaterial design techniques by fabricating
  and testing physical prototypes.\n\nRegistration Category: Full Access\n\
 nSession Chair: J. Andreas Bćrentzen (Technical University of Denmark)
URL:https://asia.siggraph.org/2023/full-program?id=papers_822&sess=sess161
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