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A hybrid iterative solver for robustly capturing coulomb friction in hair dynamics

Published: 12 December 2011 Publication History

Abstract

Dry friction between hair fibers plays a major role in the collective hair dynamic behavior as it accounts for typical nonsmooth features such as stick-slip instabilities. However, due the challenges posed by the modeling of nonsmooth friction, previous mechanical models for hair either neglect friction or use an approximate smooth friction model, thus losing important visual features. In this paper we present a new generic robust solver for capturing Coulomb friction in large assemblies of tightly packed fibers such as hair. Our method is based on an iterative algorithm where each single contact problem is efficiently and robustly solved by introducing a hybrid strategy that combines a new zero-finding formulation of (exact) Coulomb friction together with an analytical solver as a fail-safe. Our global solver turns out to be very robust and highly scalable as it can handle up to a few thousand densely packed fibers subject to tens of thousands frictional contacts at a reasonable computational cost. It can be conveniently combined to any fiber model with various rest shapes, from smooth to curly. Our results, visually validated against real hair motions, depict typical hair collective effects and greatly enhance the realism of standard hair simulators.

Supplementary Material

Supplemental material. (a139-daviet.zip)

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    cover image ACM Conferences
    SA '11: Proceedings of the 2011 SIGGRAPH Asia Conference
    December 2011
    730 pages
    ISBN:9781450308076
    DOI:10.1145/2024156
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 12 December 2011

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    Author Tags

    1. Coulomb friction
    2. hair contacts
    3. hair simulation

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    SA '11: SIGGRAPH Asia 2011
    December 12 - 15, 2011
    Hong Kong, China

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    • (2024)Contact detection between curved fibres: high order makes a differenceACM Transactions on Graphics10.1145/365819143:4(1-23)Online publication date: 19-Jul-2024
    • (2024)Cosserat-Rod-Based Dynamic Modeling of Soft Slender Robot Interacting With EnvironmentIEEE Transactions on Robotics10.1109/TRO.2024.338639340(2811-2830)Online publication date: 2024
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    • (2023)A fully implicit method for robust frictional contact handling in elastic rodsExtreme Mechanics Letters10.1016/j.eml.2022.10192458(101924)Online publication date: Jan-2023
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