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DTSTAMP:20260114T163633Z
LOCATION:Darling Harbour Theatre\, Level 2 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231212T093000
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UID:siggraphasia_SIGGRAPH Asia 2023_sess209_papers_1003@linklings.com
SUMMARY:Kirchhoff-Love Shells with Arbitrary Hyperelastic Materials
DESCRIPTION:Jiahao Wen and Jernej Barbic (University of Southern Californi
 a)\n\nKirchhoff-Love shells are commonly used in many branches of engineer
 ing, including in computer graphics, but have so far been simulated only u
 nder limited nonlinear material options. We derive the Kirchhoff-Love thin
 -shell mechanical energy for an arbitrary 3D volumetric hyperelastic mater
 ial, including isotropic materials, anisotropic materials, and materials w
 hereby the energy includes both even and odd powers of the principal stret
 ches. We do this by starting with any 3D hyperelastic material, and then a
 nalytically computing the corresponding thin-shell energy limit. This expl
 icitly identifies and separates in-plane stretching and bending terms, and
  avoids numerical quadrature. Thus, in-plane stretching and bending are sh
 own to originate from one and the same process (volumetric elasticity of t
 hin objects), as opposed to from two separate processes as done traditiona
 lly in cloth simulation. Because we can simulate materials that include bo
 th even and odd powers of stretches, we can accommodate standard mesh dist
 ortion energies previously employed for 3D solid simulations, such as Symm
 etric ARAP and Co-rotational materials. We relate the terms of our energy 
 to those of prior work on Kirchhoff-Love thin-shells in computer graphics 
 that assumed small in-plane stretches, and demonstrate the visual differen
 ce due to the presence of our exact stretching and bending terms. Furtherm
 ore, our formulation allows us to categorize all distinct hyperelastic Kir
 chhoff-Love thin-shell energies. Specifically, we prove that for Kirchhoff
 -Love thin-shells, the space of all hyperelastic materials collapses to tw
 o-dimensional hyperelastic materials. This observation enables us to creat
 e an interface for the design of thin-shell Kirchhoff-Love mechanical ener
 gies, which in turn enables us to create thin-shell materials that exhibit
  arbitrary stiffness profiles under large deformations.\n\nRegistration Ca
 tegory: Full Access, Enhanced Access, Trade Exhibitor, Experience Hall Exh
 ibitor\n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_1003&sess=sess20
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