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A peridynamic-based homogenization method to compute effective properties of periodic microstructure

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Abstract

The integral-differential governing equation gives peridynamics an advantage in conducting homogenization analysis that involves defects. The purpose of this research is to provide a novel homogenization modeling approach that utilizes ordinary state-based peridynamics to predict the elastic properties of periodic microstructures. The periodic boundary conditions are applied by coupling the displacement of prebuilt point pairs. Peridynamic differential operator is employed to determine the displacement gradient and stress field. And the volume average method is used to obtain the effective elastic properties. The present study introduces a new approach for determining the effective properties of micro-structured materials featuring defects in a periodic configuration.

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Acknowledgements

The research work was supported by the National Natural Science Foundations of China (No. U1833116 and 11402234 and 52175153).

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Authors and Affiliations

  1. School of Mechanical and Power Engineering, Zhengzhou University, No. 100 Science Avenue, Zhengzhou, 450001, China

    Jiaqi Qi, Cheng Li, Ying Tie, Yanping Zheng, Zhen Cui & Yuechen Duan

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  1. Jiaqi Qi
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  2. Cheng Li
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  3. Ying Tie
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  4. Yanping Zheng
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  5. Zhen Cui
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  6. Yuechen Duan
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Correspondence to Cheng Li or Yuechen Duan.

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Qi, J., Li, C., Tie, Y. et al. A peridynamic-based homogenization method to compute effective properties of periodic microstructure. Comp. Part. Mech. (2024). https://doi.org/10.1007/s40571-023-00698-4

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  • DOI: https://doi.org/10.1007/s40571-023-00698-4

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