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Related Experiment Videos

Crossover behavior in a mixed-mode fiber bundle model.

Srutarshi Pradhan1, Bikas K Chakrabarti, Alex Hansen

  • 1Department of Physics, Norwegian University of Science and Technology, Trondheim 7491, Norway. pradhan.srutarshi@phys.ntnu.no

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
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A new mixed-mode load sharing scheme reveals distinct mean-field and short-range interaction regimes in fiber bundle models. This crossover behavior, even in 1D, is crucial for understanding material failure dynamics.

Area of Science:

  • Statistical Physics
  • Materials Science
  • Complex Systems

Background:

  • Fiber bundle models are crucial for understanding material failure.
  • Existing models simplify load sharing to either equal-load-sharing (ELS) or local-load-sharing (LLS).
  • A unified model is needed to explore the transition between these sharing mechanisms.

Purpose of the Study:

  • To introduce and analyze a mixed-mode load sharing scheme in a fiber bundle model.
  • To identify and characterize distinct interaction regimes (mean-field and short-range).
  • To investigate the crossover behavior between these regimes.

Main Methods:

  • Development of a mixed-mode load sharing scheme with a single parameter controlling the balance between ELS and LLS.
  • Numerical simulations to study strength variation, avalanche statistics, susceptibility, and relaxation times.

Related Experiment Videos

  • Cluster analysis of broken fibers to examine correlations and locate crossover points.

    • Main Results:

    • Identification of two regimes: mean-field (ELS dominated) and short-range (LLS dominated).
    • Numerical evidence of crossover behavior through analysis of various statistical measures.
    • Localization of the crossover point by analyzing moments of cluster size distributions.

    Conclusions:

    • The fiber bundle model exhibits crossover behavior from mean-field to short-range interactions, even in one dimension.
    • The mixed-mode scheme provides a unified framework to study these transitions.
    • This finding has implications for understanding failure mechanisms in heterogeneous materials.