TY - GEN
T1 - A point-based method for animating elastoplastic solids
AU - Gerszewski, Dan
AU - Bhattacharya, Haimasree
AU - Bargteil, Adam W.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=70450243025&partnerID=8YFLogxK
U2 - 10.1145/1599470.1599488
DO - 10.1145/1599470.1599488
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AN - SCOPUS:70450243025
SN - 9781605586106
T3 - Computer Animation, Conference Proceedings
SP - 133
EP - 138
BT - Symposium on Computer Animation 2009 - ACM SIGGRAPH / Eurographics Symposium Proceedings
T2 - Symposium on Computer Animation 2009 - ACM SIGGRAPH / Eurographics Symposium
Y2 - 1 August 2009 through 2 August 2009
ER -