Geometry and Mechanics of fibers: Some numerical models (Invited Talk) - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Book Sections Year : 2016

Geometry and Mechanics of fibers: Some numerical models (Invited Talk)

Abstract

In this talk I will give an overview of our work on the simulation of fibers and entangled materials, such as hair, with a specific interest for virtual prototyping and computer graphics applications. I will first introduce a family of high-order, reduced models for discretizing Kirchhoff's equations for thin elastic rods in a both faithful and robust way. Such models are particularly well-suited for simulating in-extensible fibers subject to bending and twisting, and featuring an arbitrary curly resting geometry. Then I will show how such models can be coupled to frictional contact using the nonsmooth contact dynamics framework, and I will present a hybrid iterative solver suitable for robustly handling thousands packed fibers at reasonable frame rates. Finally, I will give some insights into the inverse modeling of fibers, consisting in taking an arbitrary curve geometry as input and inferring corresponding geometric and physical parameters of the simulator such that the input geometry corresponds to a stable configuration at equilibrium.
Vignette du fichier
MEIS2015.jpg (29.47 Ko) Télécharger le fichier Fichier principal
Vignette du fichier
meisSpringer2015.pdf (2.01 Mo) Télécharger le fichier
Format : Figure, Image
Origin : Files produced by the author(s)
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01430016 , version 1 (09-01-2017)

Identifiers

Cite

Florence Bertails-Descoubes. Geometry and Mechanics of fibers: Some numerical models (Invited Talk). Yoshinori Dobashi; Hiroyuki Ochiai. Mathematical Progress in Expressive Image Synthesis III, 24, Springer, pp.1--6, 2016, Mathematics for Industry, 978-981-10-1075-0. ⟨10.1007/978-981-10-1076-7_1⟩. ⟨hal-01430016⟩
241 View
134 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More