Random Walk Based Stochastic Modeling of 3D Fiber Systems - Archive ouverte HAL Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2010

Random Walk Based Stochastic Modeling of 3D Fiber Systems

Abstract

For the simulation of fiber systems, there exist several stochastic models: systems of straight non-overlapping fibers, systems of overlapping bending fibers or fiber systems created by sedimentation. However, there is a lack of models providing dense, non-overlapping fiber systems with a given random orientation distribution and a controllable level of bending. We introduce a new stochastic model in this paper, that generalizes the force-biased packing approach to fibers represented as chains of balls. The starting configuration is modeled using random walks, where two parameters in the multivariate von Mises-Fisher orientation distribution control the bending. The points of the random walk are associated with a radius and the current orientation. The resulting chains of balls are interpreted as fibers. The final fiber configuration is obtained as an equilibrium between repulsion forces avoiding crossing fibers and recover forces ensuring the fiber structure. This approach provides high volume fractions up to 72.0075%.
Fichier principal
Vignette du fichier
HellenAltendorf_FibreModeling_HAL.pdf (929.38 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00578181 , version 1 (18-03-2011)

Identifiers

Cite

Hellen Altendorf, Dominique Jeulin. Random Walk Based Stochastic Modeling of 3D Fiber Systems. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2010, 83 (4), 10 p., 041804. ⟨10.1103/PhysRevE.83.041804⟩. ⟨hal-00578181⟩
4810 View
1173 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More