A point-based method for animating elastoplastic solids

Dan Gerszewski*, Haimasree Bhattacharya, Adam W. Bargteil

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

64 Scopus citations

Abstract

In this paper we describe a point-based approach for animating elastoplastic materials. Our primary contribution is a simple method for computing the deformation gradient for each particle in the simulation. The deformation gradient is computed for each particle by finding the affine transformation that best approximates the motion of neighboring particles over a single timestep. These transformations are then composed to compute the total deformation gradient that describes the deformation around a particle over the course of the simulation. Given the deformation gradient we can apply arbitrary constitutive models and compute the resulting elastic forces. Our method has two primary advantages: we do not store or compare to an initial rest configuration and we work directly with the deformation gradient. The first advantage avoids poor numerical conditioning and the second naturally leads to a multiplicative model of deformation appropriate for finite deformations. We demonstrate our approach on a number of examples that exhibit a wide range of material behaviors.

Original languageEnglish
Title of host publicationSymposium on Computer Animation 2009 - ACM SIGGRAPH / Eurographics Symposium Proceedings
Pages133-138
Number of pages6
DOIs
StatePublished - 2009
Externally publishedYes
EventSymposium on Computer Animation 2009 - ACM SIGGRAPH / Eurographics Symposium - New Orleans, LA, United States
Duration: 1 Aug 20092 Aug 2009

Publication series

NameComputer Animation, Conference Proceedings

Conference

ConferenceSymposium on Computer Animation 2009 - ACM SIGGRAPH / Eurographics Symposium
Country/TerritoryUnited States
CityNew Orleans, LA
Period1/08/092/08/09

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