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Modelling a Feather as a Strongly Anisotropic Elastic Shell

Jean Jouve, Victor Romero, Rahul Narain, Laurence Boissieux, Theodore Kim, Florence Bertails-Descoubes

SIGGRAPH1 citesCFX

Feathers behave in a highly anisotropic way governed by their hierarchical microstructure of barbs clamped onto a rachis and linked by tiny barbules, which prior cloth-strip approximations f

Abstract

Feathers behave in a highly anisotropic way governed by their hierarchical microstructure of barbs clamped onto a rachis and linked by tiny barbules, which prior cloth-strip approximations fail to capture. Using measurement protocols on real feather samples, the authors find a linear orientation-dependent strain-stress relationship and an extreme ratio of stiffnesses between the barb and barbule directions, leading to a three-parameter anisotropic elastic shell model. They overcome the resulting numerical locking and ill-conditioning by aligning the mesh with barb directions and replacing the stiffest modes with an inextensibility constraint, then add anisotropic bending and demonstrate full-feather and bird-scale scenarios.

How to read this

Category
Method: an anisotropic elastic shell model for feathers
Contributions
  • A measurement-derived three-parameter anisotropic elastic shell model capturing feather barb/barbule stiffness
  • Numerical treatment that aligns the mesh with barb directions and replaces the stiffest modes with an inextensibility constraint to avoid locking
  • Anisotropic bending plus full-feather and bird-scale demonstrations
Context
Grounded in thin-shell elasticity for graphics (e.g. Grinspun et al.'s Discrete Shells), specializing it to the strongly anisotropic microstructure of feathers that cloth-strip approximations miss.Builds on: Discrete Shells
Correctness
The linear orientation-dependent strain-stress assumption comes from measurements on real samples; validity is tied to those samples and the stated stiffness regime, and the locking/ill-conditioning fixes are necessary precisely because the anisotropy is extreme.
Clarity
Clearly motivated physically; a first pass conveys the anisotropy story, a second pass for the shell formulation and the numerical conditioning fixes.
How to read it
Read the measurement findings and the three-parameter model first; a second pass is worth it for the mesh alignment, inextensibility constraint, and anisotropic bending.

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