Paper Info
Title
Strain Based Dynamics.
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.
Year
DOI
Venue
2014
10.5555/2849517.2849542
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Field
DocType
ISBN
Diagonal,Strain (chemistry),Anisotropy,Shear (sheet metal),Mathematical analysis,Simulation,Computer science,Stiffness,Polar decomposition,Finite strain theory,Infinitesimal strain theory
Conference
978-1-4503-3496-9
Citations 
PageRank 
References 
12
0.60
16
Authors
4
Name
Order
Citations
PageRank
Matthias Müller1392.97
Nuttapong Chentanez267538.02
Tae-Yong Kim350426.69
Miles Macklin424817.11