research-article

A material point method for viscoelastic fluids, foams and sponges

Authors:

Chenfanfu Jiang,

Craig Schroeder,

Alexey Stomakhin,

Pirouz KavehpourAuthors Info & Claims

SCA '15: Proceedings of the 14th ACM SIGGRAPH / Eurographics Symposium on Computer Animation

Pages 157 - 163

https://doi.org/10.1145/2786784.2786798

Published: 07 August 2015 Publication History

Abstract

We present a new Material Point Method (MPM) for simulating viscoelastic fluids, foams and sponges. We design our discretization from the upper convected derivative terms in the evolution of the left Cauchy-Green elastic strain tensor. We combine this with an Oldroyd-B model for plastic flow in a complex viscoelastic fluid. While the Oldroyd-B model is traditionally used for viscoelastic fluids, we show that its interpretation as a plastic flow naturally allows us to simulate a wide range of complex material behaviors. In order to do this, we provide a modification to the traditional Oldroyd-B model that guarantees volume preserving plastic flows. Our plasticity model is remarkably simple (foregoing the need for the singular value decomposition (SVD) of stresses or strains). Lastly, we show that implicit time stepping can be achieved in a manner similar to [Stomakhin et al. 2013] and that this allows for high resolution simulations at practical simulation times.

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Cited By

Sung SKim JShin B(2024)Material Point Method-Based Simulation Techniques for Medical ApplicationsElectronics10.3390/electronics1307134013:7(1340)Online publication date: 2-Apr-2024
https://doi.org/10.3390/electronics13071340
Kim JSong CLee JKim JLee JKim S(2024)Isoline Tracking in Particle-Based Fluids Using Level-Set Learning RepresentationApplied Sciences10.3390/app1406264414:6(2644)Online publication date: 21-Mar-2024
https://doi.org/10.3390/app14062644
Zhou JChen DDeng MDeng YSun YWang SXiong SZhu B(2024)Eulerian-Lagrangian Fluid Simulation on Particle Flow MapsACM Transactions on Graphics10.1145/365818043:4(1-20)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658180
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Index Terms

A material point method for viscoelastic fluids, foams and sponges
1. Computing methodologies
  1. Computer graphics
    1. Animation
  2. Modeling and simulation
    1. Simulation types and techniques
      1. Simulation by animation

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cover image ACM Conferences

SCA '15: Proceedings of the 14th ACM SIGGRAPH / Eurographics Symposium on Computer Animation

August 2015

193 pages

ISBN:9781450334969

DOI:10.1145/2786784

Conference Chairs:
Jernej Barbič
University of Southern California
,
Zhigang Deng
University of Houston

Copyright © 2015 ACM.

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Published: 07 August 2015

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SCA '15: The ACM SIGGRAPH / Eurographics Symposium on Computer Animation

August 7 - 9, 2015

California, Los Angeles

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Overall Acceptance Rate 183 of 487 submissions, 38%

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Cited By

Sung SKim JShin B(2024)Material Point Method-Based Simulation Techniques for Medical ApplicationsElectronics10.3390/electronics1307134013:7(1340)Online publication date: 2-Apr-2024
https://doi.org/10.3390/electronics13071340
Kim JSong CLee JKim JLee JKim S(2024)Isoline Tracking in Particle-Based Fluids Using Level-Set Learning RepresentationApplied Sciences10.3390/app1406264414:6(2644)Online publication date: 21-Mar-2024
https://doi.org/10.3390/app14062644
Zhou JChen DDeng MDeng YSun YWang SXiong SZhu B(2024)Eulerian-Lagrangian Fluid Simulation on Particle Flow MapsACM Transactions on Graphics10.1145/365818043:4(1-20)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658180
Ni XWang RWang BChen B(2024)An Induce-on-Boundary Magnetostatic Solver for Grid-Based FerrofluidsACM Transactions on Graphics10.1145/365812443:4(1-14)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658124
Li XLi MHan XWang HYang YJiang C(2024)A Dynamic Duo of Finite Elements and Material PointsACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657449(1-11)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657449
Tu ZLi CZhao ZLiu LWang CWang CQin H(2024)A Unified MPM Framework Supporting Phase-field Models and Elastic-viscoplastic Phase TransitionACM Transactions on Graphics10.1145/363804743:2(1-19)Online publication date: 3-Jan-2024
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Li JGao YDai JLi SHao AQin H(2024)MPMNet: A Data-Driven MPM Framework for Dynamic Fluid-Solid InteractionIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2023.327215630:8(4694-4708)Online publication date: Aug-2024
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Rizzieri GFerrara LCremonesi M(2024)Simulation of viscoelastic free-surface flows with the Particle Finite Element MethodComputational Particle Mechanics10.1007/s40571-024-00730-1Online publication date: 22-Mar-2024
https://doi.org/10.1007/s40571-024-00730-1
Qu ZLi MYang YJiang CDe Goes F(2023)Power Plastics: A Hybrid Lagrangian/Eulerian Solver for Mesoscale Inelastic FlowsACM Transactions on Graphics10.1145/361834442:6(1-11)Online publication date: 5-Dec-2023
https://dl.acm.org/doi/10.1145/3618344
Su HLi XXue TJiang CAanjaneya M(2023)A Generalized Constitutive Model for Versatile MPM Simulation and Inverse Learning with Differentiable PhysicsProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/36069256:3(1-20)Online publication date: 24-Aug-2023
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