Modelling a feather as a strongly anisotropic elastic shell
Résumé
Feathers exhibit a highly anisotropic behaviour, governed by their
complex hierarchical microstructure composed of individual hairs
(barbs) clamped onto a spine (rachis) and attached to each other
through tiny hooks (barbules). Previous methods in computer graph-
ics have approximated feathers as strips of cloth, thus failing to cap-
ture the particular macroscopic nonlinear behaviour of the feather
surface (vane). To investigate the anisotropic properties of a feather
vane, we design precise measurement protocols on real feather
samples. Our experimental results suggest a linear strain-stress
relationship of the feather membrane with orientation-dependent
coefficients, as well as an extreme ratio of stiffnesses in the barb
and barbule direction, of the order of 10 4 . From these findings we
build a simple continuum model for the feather vane, where the vane is represented as a three-parameter anisotropic elastic shell.
However, implementing the model numerically reveals severe lock-
ing and ill-conditioning issues, due to the extreme stiffness ratio
between the barb and the barbule directions. To resolve these is-
sues, we align the mesh along the barb directions and replace the
stiffest modes with an inextensibility constraint. We extensively
validate our membrane model against real-world laboratory mea-
surements, by using an intermediary microscale model that allows
us to limit the number of required lab experiments. Finally, we
enrich our membrane model with anisotropic bending, and show
its practicality in graphics-like scenarios like a full feather and
a larger-scale bird. Code and data for this paper are available at
https://gitlab.inria.fr/elan-public-code/feather-shell/.
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feathers.pdf (28.61 Mo)
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feathers_final_version.mp4 (69.85 Mo)
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supplemental.pdf (5.32 Mo)
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