research-article

Augmented MPM for phase-change and varied materials

Authors:

Alexey Stomakhin,

Craig Schroeder,

Chenfanfu Jiang,

Andrew SelleAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 33, Issue 4

Article No.: 138, Pages 1 - 11

https://doi.org/10.1145/2601097.2601176

Published: 27 July 2014 Publication History

Abstract

In this paper, we introduce a novel material point method for heat transport, melting and solidifying materials. This brings a wider range of material behaviors into reach of the already versatile material point method. This is in contrast to best-of-breed fluid, solid or rigid body solvers that are difficult to adapt to a wide range of materials. Extending the material point method requires several contributions. We introduce a dilational/deviatoric splitting of the constitutive model and show that an implicit treatment of the Eulerian evolution of the dilational part can be used to simulate arbitrarily incompressible materials. Furthermore, we show that this treatment reduces to a parabolic equation for moderate compressibility and an elliptic, Chorin-style projection at the incompressible limit. Since projections are naturally done on marker and cell (MAC) grids, we devise a staggered grid MPM method. Lastly, to generate varying material parameters, we adapt a heat-equation solver to a material point framework.

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Index Terms

Augmented MPM for phase-change and varied materials
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 Transactions on Graphics

ACM Transactions on Graphics Volume 33, Issue 4

July 2014

1366 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/2601097

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Copyright © 2014 ACM.

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Publication History

Published: 27 July 2014

Published in TOG Volume 33, Issue 4

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Yan ZMei XWang WFan ZPan AZheng Q(2025)Theoretical investigation of multipulse femtosecond laser processing on silicon carbide: ablation, shielding effect, and recast formationOptics & Laser Technology10.1016/j.optlastec.2024.111976181(111976)Online publication date: Feb-2025
https://doi.org/10.1016/j.optlastec.2024.111976
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
Nabizadeh MRoy-Chowdhury RYin HRamamoorthi RChern A(2024)Fluid Implicit Particles on Coadjoint OrbitsACM Transactions on Graphics10.1145/368797043:6(1-38)Online publication date: 19-Dec-2024
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