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DTSTAMP:20260114T163649Z
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:Zhan Zhang (University of California Davis); Christopher Brand
 t (1000shapes GmbH); Jean Jouve (University Grenoble Alpes Inria, CNRS, Gr
 enoble INP, LJK); Yue Wang and Tian Chen (University of Houston); Mark Pau
 ly (Ecole Polytechnique Fédérale de Lausanne); and Julian Panetta (Univers
 ity of California Davis)\n\nMechanical metamaterials enable customizing th
 e elastic properties of physical objects by altering their fine-scale stru
 cture. A broad gamut of effective material properties can be produced even
  from a single fabrication material by optimizing the geometry of a period
 ic microstructure tiling. Past work has extensively studied the capabiliti
 es of microstructures in the small-displacement regime, where periodic hom
 ogenization of linear elasticity yields computationally efficient optimal 
 design algorithms. However, many applications involve flexible structures 
 undergoing large deformations for which the accuracy of linear elasticity 
 rapidly deteriorates due to geometric nonlinearities. Design of microstruc
 tures at finite strains involves a massive increase in computation and is 
 much less explored; no computational tool yet exists to design metamateria
 ls emulating target hyperelastic laws over finite regions of strain space.
 \n\nWe make an initial step in this direction, developing algorithms to ac
 celerate homogenization and metamaterial design for nonlinear elasticity a
 nd building a complete framework for the optimal design of planar metamate
 rials. Our nonlinear homogenization method works by efficiently constructi
 ng an accurate interpolant of a microstructure's deformation over a finite
  space of macroscopic strains likely to be endured by the metamaterial. Fr
 om this interpolant, the homogenized energy density, stress, and tangent e
 lasticity tensor describing the microstructure's effective properties can 
 be inexpensively computed at any strain. Our design tool then fits the eff
 ective material properties to a target constitutive law over a region of s
 train space using a parametric shape optimization approach, producing a di
 rectly manufacturable geometry. We systematically test our framework by de
 signing a catalog of materials fitting isotropic Hooke's laws as closely a
 s possible. We demonstrate significantly improved accuracy over traditiona
 l linear metamaterial design techniques by fabricating and testing physica
 l prototypes.\n\nRegistration Category: Full Access\n\nSession Chair: J. A
 ndreas Bærentzen (Technical University of Denmark)\n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_822&sess=sess161
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