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Avalanche shapes in the fiber bundle model.

Narendra Kumar Bodaballa1, Soumyajyoti Biswas1, Parongama Sen2

  • 1Department of Physics, <a href="https://ror.org/013vs5h31">SRM University AP</a>, Amaravati 522240, Andhra Pradesh, India.

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This summary is machine-generated.

Avalanche asymmetry in the fiber bundle model predicts critical failure. As the critical point approaches under quasistatic loading, avalanche shapes become symmetric, offering a precursor to material breakdown.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Disordered solids exhibit complex failure behaviors.
  • The fiber bundle model is a key framework for studying material breakdown.
  • Understanding avalanche dynamics is crucial for predicting material failure.

Purpose of the Study:

  • To investigate the temporal evolution of avalanches in the fiber bundle model.
  • To identify precursors to critical failure under different loading protocols.
  • To analyze the impact of loading protocols on avalanche shape symmetry.

Main Methods:

  • Simulations of the fiber bundle model under quasistatic and discrete loading.
  • Analysis of avalanche temporal shapes and asymmetry.
  • Derivation of a universal scaling law for avalanche asymmetry.

Main Results:

  • Under quasistatic loading, avalanche asymmetry decreases universally as the critical point is approached (A∼(σ-σ_{c})^{θ}, θ≈0.25).
  • This asymmetry measure serves as a precursor to imminent failure, independent of system disorder.
  • Under discrete loading, avalanche shapes remain asymmetric, even in the mean-field limit.

Conclusions:

  • Avalanche shape asymmetry is a robust indicator of proximity to critical failure in disordered solids.
  • The loading protocol significantly influences avalanche dynamics and predictability.
  • The findings offer insights into the statistical mechanics of material failure.