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Integrating Peridynamics with Material Point Method for Elastoplastic Material Modeling

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Advances in Computer Graphics (CGI 2019)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 11542))

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Abstract

We present a novel integral-based Material Point Method (MPM) using state based peridynamics structure for modeling elastoplastic material and fracture animation. Previous partial derivative based MPM studies face challenges of underlying instability issues of particle distribution and the complexity of modeling discontinuities. To alleviate these problems, we integrate the strain metric in the basic elastic constitutive model by using material point truss structure, which outweighs differential-based methods in both accuracy and stability. To model plasticity, we incorporate our constitutive model with deviatoric flow theory and a simple yield function. It is straightforward to handle the problem of cracking in our hybrid framework. Our method adopts two time integration ways to update crack interface and fracture inner parts, which overcome the unnecessary grid duplication. Our work can create a wide range of material phenomenon including elasticity, plasticity, and fracture. Our framework provides an attractive method for producing elastoplastic materials and fracture with visual realism and high stability.

This work is supported by National Natural Science Foundation of China (61702433, 61661146002), the Fundamental Research Funds for the Central Universities, the China Scholarship Council and Bournemouth University.

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Authors and Affiliations

  1. National Centre for Computer Animation, Bournemouth University, Poole, Dorset, UK

    Yao Lyu, Jinglu Zhang, Jian Chang & Jian Jun Zhang

  2. School of Software, Xiamen University, Xiamen, China

    Shihui Guo

Authors
  1. Yao Lyu
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  2. Jinglu Zhang
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  3. Jian Chang
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  4. Shihui Guo
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  5. Jian Jun Zhang
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Corresponding author

Correspondence to Yao Lyu .

Editor information

Editors and Affiliations

  1. University of Calgary, Calgary, AB, Canada

    Marina Gavrilova

  2. Bournemouth University, Poole, UK

    Jian Chang

  3. University of Geneva, MIRALab, Carouge, Switzerland

    Nadia Magnenat Thalmann

  4. International Christian University, Tokyo, Japan

    Eckhard Hitzer

  5. Waseda University, Tokyo, Japan

    Hiroshi Ishikawa

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Lyu, Y., Zhang, J., Chang, J., Guo, S., Zhang, J.J. (2019). Integrating Peridynamics with Material Point Method for Elastoplastic Material Modeling. In: Gavrilova, M., Chang, J., Thalmann, N., Hitzer, E., Ishikawa, H. (eds) Advances in Computer Graphics. CGI 2019. Lecture Notes in Computer Science(), vol 11542. Springer, Cham. https://doi.org/10.1007/978-3-030-22514-8_19

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  • DOI: https://doi.org/10.1007/978-3-030-22514-8_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-22513-1

  • Online ISBN: 978-3-030-22514-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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