A Point-based Method for Animating Elastoplastic Solids

Author/Creator ORCID





Citation of Original Publication

Dan Gerszewski, Haimasree Bhattacharya, Adam W. Bargteil, A Point-based Method for Animating Elastoplastic Solids, Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation Pages 133-138, DOI : 10.1145/1599470.1599488


This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.


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.