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Multiscale analysis-based peridynamic simulation of fracture in porous media

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Abstract

The simulation of fracture in large-scale structures made of porous media remains a challenging task. Current techniques either assume a homogeneous model, disregarding the microstructure characteristics, or adopt a micro-mechanical model, which incurs an intractable computational cost due to its complex stochastic geometry and physical properties, as well as its nonlinear and multiscale features. In this study, we propose a multiscale analysis-based dual-variable-horizon peridynamics (PD) model to efficiently simulate macroscopic structural fracture. The influence of microstructures in porous media on macroscopic structural failure is represented by two PD parameters: the equivalent critical stretch and micro-modulus. The equivalent critical stretch is calculated using the microscale PD model, while the equivalent micro-modulus is obtained through the homogenization method and energy density equivalence between classical continuum mechanics and PD models. Numerical examples of porous media with various microstructures demonstrate the validity, accuracy, and efficiency of the proposed method.

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Acknowledgements

This research was supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (No. XDC06030102), the Natural Science Foundation of Chongqing (No. CSTB2022NSCQ-MSX0296), the National Natural Science Foundation of China (Grant No. 12271409), the Natural Science Foundation of Shanghai (No. 21ZR1465800), and the Interdisciplinary Project in Ocean Research of Tongji University and the Fundamental Research Funds for the Central Universities.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an, 710072, China

    Zihao Yang & Shangkun Shen

  2. School of Mathematical Sciences, Tongji University, Shanghai, 200092, China

    Xiaofei Guan

  3. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710072, China

    Xindang He

  4. LSEC, ICMSEC, Academy of Mathematics and Systems Science, CAS, Beijing, 100190, China

    Junzhi Cui

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  1. Zihao Yang
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  2. Shangkun Shen
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  3. Xiaofei Guan
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  4. Xindang He
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  5. Junzhi Cui
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Correspondence to Xiaofei Guan or Xindang He.

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Yang, Z., Shen, S., Guan, X. et al. Multiscale analysis-based peridynamic simulation of fracture in porous media. Front. Struct. Civ. Eng. 18, 1–13 (2024). https://doi.org/10.1007/s11709-024-1043-9

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