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CD-MPM: continuum damage material point methods for dynamic fracture animation

Authors:

Joshuah Wolper,

Chenfanfu JiangAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 38, Issue 4

Article No.: 119, Pages 1 - 15

https://doi.org/10.1145/3306346.3322949

Published: 12 July 2019 Publication History

Abstract

We present two new approaches for animating dynamic fracture involving large elastoplastic deformation. In contrast to traditional mesh-based techniques, where sharp discontinuity is introduced to split the continuum at crack surfaces, our methods are based on Continuum Damage Mechanics (CDM) with a variational energy-based formulation for crack evolution. Our first approach formulates the resulting dynamic material damage evolution with a Ginzburg-Landau type phase-field equation and discretizes it with the Material Point Method (MPM), resulting in a coupled momentum/damage solver rooted in phase field fracture: PFF-MPM. Although our PFF-MPM approach achieves convincing fracture with or without plasticity, we also introduce a return mapping algorithm that can be analytically solved for a wide range of general non-associated plasticity models, achieving more than two times speedup over traditional iterative approaches. To demonstrate the efficacy of the algorithm, we also develop a Non-Associated Cam-Clay (NACC) plasticity model with a novel fracture-friendly hardening scheme. Our NACC plasticity paired with traditional MPM composes a second approach to dynamic fracture, as it produces a breadth of organic, brittle material fracture effects on its own. Though NACC and PFF can be combined, we focus on exploring their material effects separately. Both methods can be easily integrated into any existing MPM solver, enabling the simulation of various fracturing materials with extremely high visual fidelity while requiring little additional computational overhead.

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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
Modi VSharp NPerel OSueda SLevin D(2024)Simplicits: Mesh-Free, Geometry-Agnostic Elastic SimulationACM Transactions on Graphics10.1145/365818443:4(1-11)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658184
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
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Index Terms

CD-MPM: continuum damage material point methods for dynamic fracture animation
1. Computing methodologies
  1. Computer graphics
    1. Animation
      1. Physical simulation

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Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 38, Issue 4

August 2019

1480 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3306346

Editor:
Olga Sorkine-Hornung
ETH Zurich

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 12 July 2019

Published in TOG Volume 38, Issue 4

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