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Related Experiment Videos

Time-dependent fiber bundles with local load sharing.

W I Newman1, S L Phoenix

  • 1Departments of Earth and Space Sciences, Physics and Astronomy, and Mathematics, University of California, Los Angeles, California 90095-1567, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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New computational methods enable large-scale fiber bundle simulations, revealing distinct failure behaviors in heterogeneous materials based on load sharing and breakdown exponent. This advances understanding of material fatigue and geophysical events.

Area of Science:

  • Physics
  • Materials Science
  • Computational Science

Background:

  • Fiber bundle models simulate time-dependent failure in heterogeneous materials, crucial for understanding phenomena like material fatigue and earthquakes.
  • Previous numerical studies of large bundles were computationally demanding, limiting insight into size-dependent behaviors.

Purpose of the Study:

  • To develop advanced computational algorithms and asymptotic theories for analyzing 1D fiber bundle models with local load sharing (LLS).
  • To investigate the impact of varying breakdown exponents (rho) on bundle failure dynamics and statistics at large scales.

Main Methods:

  • Development of novel computational algorithms inspired by computer science, significantly accelerating large-scale fiber bundle simulations.
  • Application of asymptotic theories to analyze bundle behavior across different regimes of the breakdown exponent (rho).

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Main Results:

  • For 1/2 ≤ rho ≤ 1, LLS and equal load sharing (ELS) exhibit similar behavior, with Gaussian lifetime statistics and a finite mean.
  • For rho > 1, LLS shows brittle, weakest-volume behavior, diverging from ELS which retains Gaussian statistics.
  • For 0 < rho < 1/2, both LLS and ELS are dominated by long-lived fibers, exhibiting strongest-link extreme value distributions.

Conclusions:

  • The study provides efficient computational tools for large-scale fiber bundle analysis, enabling deeper understanding of material failure.
  • Different regimes of the breakdown exponent lead to qualitatively distinct failure mechanisms (Gaussian vs. brittle vs. extreme value) in LLS models.