Strain Based Dynamics

Müller, Matthias; Chentanez, Nuttapong; Kim, Tae-Yong; Macklin, Miles

Strain Based Dynamics

Files

149-157.pdf (3.13 MB)

Date

2014

Authors

Müller, Matthias
Chentanez, Nuttapong
Kim, Tae-Yong
Macklin, Miles

Publisher

The Eurographics Association

Abstract

We propose a new set of constraints within the Position Based Dynamics (PBD) framework that allow the control of strain in directions that are independent of the edge directions of the simulation mesh. Instead of constraining distances between points, we constrain the entries of the Green - St Venant strain tensor. Varying the stiffness values corresponding to the individual strain coefficients lets us simulate anisotropic behavior. By working with Green's rotation-independent, non-linear strain tensor directly we do not have to perform a polar decomposition of the deformation gradient as in most strain limiting approaches. In addition, we propose a modification of the constraints corresponding to the diagonal entries of the strain tensor such that they can be solved in a single step and a modification of the constraints corresponding to the off-diagonal entries to decouple stretch from shear resistance. By formulating the constraints within the PBD framework, they can be used not only for strain limiting but to perform the actual simulation of the deformable object whereas traditional strain limiting methods have to be paired with a separate simulation method.

        @inproceedings{:10.2312/sca.20141133
https::/diglib.eg.org/handle/10.2312/sca.20141133.149-157
,
booktitle = {Eurographics/ ACM SIGGRAPH Symposium on Computer Animation
},
editor = {Vladlen Koltun and Eftychios Sifakis
},
title = {{Strain Based Dynamics
}},
author = {Müller, Matthias and 
Chentanez, Nuttapong and 
Kim, Tae-Yong and 
Macklin, Miles
},
year = {2014
},
publisher = {The Eurographics Association
},
ISSN = {1727-5288
},
ISBN = {978-3-905674-61-3
},
DOI = {/10.2312/sca.20141133
https://diglib.eg.org/handle/10.2312/sca.20141133.149-157
}
}