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Related Experiment Videos

Crossover behavior in failure avalanches.

Srutarshi Pradhan1, Alex Hansen, Per C Hemmer

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 16, 2006
PubMed
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Avalanches of element ruptures in composite materials signal impending catastrophic failure. This study reveals a crossover in avalanche distribution exponents, indicating a critical transition point before material breakdown.

Area of Science:

  • Materials Science
  • Statistical Physics
  • Complex Systems

Background:

  • Composite materials exhibit statistically distributed failure thresholds.
  • Material failure under stress can involve 'avalanches' of simultaneous element ruptures.
  • Avalanche magnitude distributions often follow power laws, D(Delta) ∝ Δ^(-ξ).

Purpose of the Study:

  • To investigate the avalanche behavior during the failure process of composite materials.
  • To analyze the crossover in power-law exponents near the breakdown point.
  • To demonstrate this phenomenon analytically and experimentally in different material systems.

Main Methods:

  • Analytical modeling of fiber bundles with uniform load distribution.
  • Statistical analysis of avalanche magnitude distributions.

Related Experiment Videos

  • Experimental observation in a network of electric fuses.

    • Main Results:

    • A crossover behavior in avalanche distribution exponents (ξ) was identified.
    • For fiber bundles, ξ=3/2 near breakdown and ξ=5/2 away from it.
    • Similar crossover observed in fuse networks (ξ=2 near breakdown, ξ=3 away).

    Conclusions:

    • The identified crossover in avalanche statistics is a precursor to catastrophic material failure.
    • This phenomenon exhibits nontrivial finite-size scaling near the breakdown point.
    • The findings are consistent across different material systems, suggesting a universal behavior.