MECHE: ModEling Contact in Hair Entangling.
Objects composed of thin deformable rods in contact are widely spread in the real world (hair, wool,
entangled ropes or wires, knots in suture strands, etc.), however simulating such systems is
particularly challenging, due to the slender geometry of individual fibers, the high number of
self-contacts, and the presence of dry friction.
In this talk, we propose a first step towards the accurate modeling of dynamic fibrous materials.
- Dynamics of fibers (joint work with Basile Audoly)
In a first part, we adress the issue of modeling individual dynamic fibers in a realistic, robust,
and efficient way. We introduce the Super-Helix model, a high-order rod model able to accurately
capture the bending and twisting modes of an inextensible rod, subject to large displacements. We
furthermore present the recursive version of the dynamics of a Super-Helix, which has the advantage
of being computed in linear time.
- Modeling an assembly of fibers with frictional contact (joint work with Gilles Daviet, Florent
Cadoux and Vincent Acary)
In a second part, we focus on the mechanical modeling and numerical simulation of frictional contact
among assemblies of fibers. We present a comparative study of various numerical solvers coupled with
various fibers models, and analyse our simulation results in terms of realism (i.e., the ability of
the model to capture important emerging effects due to both individual and collective behaviours),
robustness (i.e., the convergence quality of the solvers), as well as computational efficiency.