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The avalanche process of the fiber bundle model with defect

Author

Listed:
  • Hao, Da-Peng
  • Tang, Gang
  • Xia, Hui
  • Xun, Zhi-Peng
  • Han, Kui

Abstract

In order to explore the impacts of defect on the tensile fracture process of materials, the fiber bundle model with defect is constructed based on the classical fiber bundle model. In the fiber bundle model with defect, the two key parameters are the mean size and the density of defects. In both uniform and Weibull threshold distributions, the mean size and density all bring impacts on the threshold distribution of fibers. By means of analytical approximation and numerical simulation, we show that the two key parameters of the model have substantial effects on the failure process of the bundle. From macroscopic view, the defect described by the altering of threshold distribution of fibers will has a significant impact on the mechanical properties of the bundle. While in microscopic scale, the statistical properties of the model are still harmonious with the classical fiber bundle model.

Suggested Citation

  • Hao, Da-Peng & Tang, Gang & Xia, Hui & Xun, Zhi-Peng & Han, Kui, 2017. "The avalanche process of the fiber bundle model with defect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 77-85.
    • Handle: RePEc:eee:phsmap:v:472:y:2017:i:c:p:77-85
    DOI: 10.1016/j.physa.2017.01.017
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    References listed on IDEAS

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    1. Hao, Da-Peng & Tang, Gang & Xun, Zhi-Peng & Xia, Hui & Han, Kui, 2014. "Crossover behavior in the avalanche process of the fiber bundle model in local load sharing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 135-141.
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    Cited by:

    1. Tanasehte, M. & Hader, A. & Achik, I. & Sbiaai, H. & Boughaleb, Y., 2020. "The matrix–fiber interaction effect on the avalanche breaking in the failure process of composite materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    2. Hao, Da-Peng & Tang, Gang & Xun, Zhi-Peng & Xia, Hui & Han, Kui, 2018. "The avalanche process of the fiber bundle model with defect in local loading sharing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1095-1102.

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    1. Tanasehte, M. & Hader, A. & Achik, I. & Sbiaai, H. & Boughaleb, Y., 2020. "The matrix–fiber interaction effect on the avalanche breaking in the failure process of composite materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).

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