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DTSTAMP:20240214T070242Z
LOCATION:Meeting Room C4.9+C4.10\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231212T141500
DTEND;TZID=Australia/Melbourne:20231212T143000
UID:siggraphasia_SIGGRAPH Asia 2023_sess141_papers_1003@linklings.com
SUMMARY:Kirchhoff-Love Shells with Arbitrary Hyperelastic Materials
DESCRIPTION:Technical Papers\n\nJiahao Wen and Jernej Barbic (University o
 f Southern California)\n\nKirchhoff-Love shells are commonly used in many 
 branches of engineering, including in computer graphics, but have so far b
 een simulated only under limited nonlinear material options. We derive the
  Kirchhoff-Love thin-shell mechanical energy for an arbitrary 3D volumetri
 c hyperelastic material, including isotropic materials, anisotropic materi
 als, and materials whereby the energy includes both even and odd powers of
  the principal stretches. We do this by starting with any 3D hyperelastic 
 material, and then analytically computing the corresponding thin-shell ene
 rgy limit. This explicitly identifies and separates in-plane stretching an
 d bending terms, and avoids numerical quadrature. Thus, in-plane stretchin
 g and bending are shown to originate from one and the same process (volume
 tric elasticity of thin objects), as opposed to from two separate processe
 s as done traditionally in cloth simulation. Because we can simulate mater
 ials that include both even and odd powers of stretches, we can accommodat
 e standard mesh distortion energies previously employed for 3D solid simul
 ations, such as Symmetric ARAP and Co-rotational materials. We relate the 
 terms of our energy to those of prior work on Kirchhoff-Love thin-shells i
 n computer graphics that assumed small in-plane stretches, and demonstrate
  the visual difference due to the presence of our exact stretching and ben
 ding terms. Furthermore, our formulation allows us to categorize all disti
 nct hyperelastic Kirchhoff-Love thin-shell energies. Specifically, we prov
 e that for Kirchhoff-Love thin-shells, the space of all hyperelastic mater
 ials collapses to two-dimensional hyperelastic materials. This observation
  enables us to create an interface for the design of thin-shell Kirchhoff-
 Love mechanical energies, which in turn enables us to create thin-shell ma
 terials that exhibit arbitrary stiffness profiles under large deformations
 .\n\nRegistration Category: Full Access\n\nSession Chair: Weiwei Xu (State
  Key Laboratory of CAD&CG, Zhejiang Univerisity; State Key Lab of CAD and 
 CG, Zhejiang University)
URL:https://asia.siggraph.org/2023/full-program?id=papers_1003&sess=sess14
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