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Energetically consistent inelasticity for optimization time integration

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Chenfanfu JiangAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 41, Issue 4

Article No.: 52, Pages 1 - 16

https://doi.org/10.1145/3528223.3530072

Published: 22 July 2022 Publication History

Abstract

In this paper, we propose Energetically Consistent Inelasticity (ECI), a new formulation for modeling and discretizing finite strain elastoplasticity/viscoelasticity in a way that is compatible with optimization-based time integrators. We provide an in-depth analysis for allowing plasticity to be implicitly integrated through an augmented strain energy density function. We develop ECI on the associative von-Mises J2 plasticity, the non-associative Drucker-Prager plasticity, and the finite strain viscoelasticity. We demonstrate the resulting scheme on both the Finite Element Method (FEM) and the Material Point Method (MPM). Combined with a custom Newton-type optimization integration scheme, our method enables simulating stiff and large-deformation inelastic dynamics of metal, sand, snow, and foam with larger time steps, improved stability, higher efficiency, and better accuracy than existing approaches.

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Index Terms

Energetically consistent inelasticity for optimization time integration
1. Computing methodologies
  1. Computer graphics
    1. Animation
      1. Physical simulation

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 41, Issue 4

July 2022

1978 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3528223

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Published: 22 July 2022

Published in TOG Volume 41, Issue 4

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https://dl.acm.org/doi/10.1145/3654706
Zhang ZLiu RHanocka RAberman K(2024)TEDi: Temporally-Entangled Diffusion for Long-Term Motion SynthesisSpecial Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers '2410.1145/3641519.3657515(1-11)Online publication date: 13-Jul-2024
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