Locking-free Simulation of Isometric Thin Plates
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2019-11-14 v1
Abstract
To efficiently simulate very thin, inextensible materials like cloth or paper, it is tempting to replace force-based thin-plate dynamics with hard isometry constraints. Unfortunately, naive formulations of the constraints induce membrane locking---artificial stiffening of bending modes due to the inability of discrete kinematics to reproduce exact isometries. We propose a simple set of meshless isometry constraints, based on moving-least-squares averaging of the strain tensor, which do not lock, and which can be easily incorporated into standard constrained Lagrangian dynamics integration.
Cite
@article{arxiv.1911.05204,
title = {Locking-free Simulation of Isometric Thin Plates},
author = {Hsiao-yu Chen and Paul Kry and Etienne Vouga},
journal= {arXiv preprint arXiv:1911.05204},
year = {2019}
}