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An energy constraint position-based dynamics with corrected SPH kernel

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Abstract

We introduce an improved position-based dynamics method with corrected smoothed particle hydrodynamics (SPH) kernel to simulate deformable solids. Using a strain energy constraint that follows the continuum mechanics, the method can maintain the efficiency and stability of the position-based approach while improving the physical plausibility of the simulation. We can easily simulate the behavior of anisotropic and plastic materials because the method is based on physics. Unlike the previous position-based simulations of continuous materials, we use weakly structured particles to discretize the model for the convenience of deformable object cutting. In this case, a corrected SPH kernel function is adopted to measure the deformation gradient and calculate the strain energy on each particle. We also propose a solution for the interparticle inversion and penetration in large deformation. To perform complex interaction scenarios, we provide a simple method for collision detection. We demonstrate the flexibility, efficiency, and robustness of the proposed method by simulating various scenes, including anisotropic elastic deformation, plastic deformation, model cutting, and large-scale elastic collision.

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Acknowledgements

This work was supported by Fund of China University of Ptroleum (Grant No. 21CX06042A), National Natural Science Foundation of China (Grant Nos. 62072449, 61972271), Macau FDCT Grant (Grant No. 0018/2019/AKP), Science and Technology Development Fund, Macau SAR (Grant Nos. 0018/2019/AKP, SKL-IOTSC(UM)-2021-2023), Guangdong Science and Technology Department (Grant Nos. 2018B030324002, 2020B1515130001), Zhuhai Science and Technology Innovation Bureau (Grant No. ZH22017002200001PWC), Jiangsu Science and Technology Department (Grant No. BZ2021061), University of Macau (Grant No. MYRG2020-00253-FST). The authors would like to thank anonymous reviewers for their valuable comments.

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Author notes

  1. Cao W and Lyu L have the same contribution to this work.

Authors and Affiliations

  1. College of Computer Science and Technology, China University of Petroleum, Qingdao, 266580, China

    Wei Cao

  2. State Key Laboratory of Internet of Things for Smart City, University of Macau, Macao, 999078, China

    Luan Lyu & Zhixin Yang

  3. Faculty of Science and Technology, University of Macau, Macao, 999078, China

    Wei Cao, Luan Lyu, Zhixin Yang & Enhua Wu

  4. State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, 100864, China

    Enhua Wu

  5. Guangzhou Greater Bay Area Virtual Reality Research Institute, Guangzhou, 510000, China

    Enhua Wu

Authors
  1. Wei Cao
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  2. Luan Lyu
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  3. Zhixin Yang
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  4. Enhua Wu
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Corresponding authors

Correspondence to Zhixin Yang or Enhua Wu.

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Cao, W., Lyu, L., Yang, Z. et al. An energy constraint position-based dynamics with corrected SPH kernel. Sci. China Inf. Sci. 66, 112108 (2023). https://doi.org/10.1007/s11432-021-3464-2

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  • DOI: https://doi.org/10.1007/s11432-021-3464-2

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