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Bursts in a fiber bundle model with continuous damage.

R C Hidalgo1, F Kun, H J Herrmann

  • 1ICA 1, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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This study analyzes a continuous damage fiber bundle model, revealing diverse constitutive behaviors and macroscopic plasticity. Simulations show power law burst distributions under specific conditions, deviating from mean-field predictions.

Area of Science:

  • Materials Science
  • Statistical Mechanics
  • Continuum Mechanics

Background:

  • The continuous damage fiber bundle model is a recent framework for studying material failure.
  • Understanding constitutive behavior and damage evolution is crucial for material science.
  • Previous models often simplify the complex failure dynamics observed in heterogeneous materials.

Purpose of the Study:

  • To investigate the constitutive behavior, damage process, and burst properties of the continuous damage fiber bundle model.
  • To characterize the damage process under strain-controlled loading.
  • To explore burst distributions in stress-controlled scenarios and construct a phase diagram.

Main Methods:

  • Analytical derivation for strain-controlled loading.

Related Experiment Videos

  • Development of a simulation technique for stress-controlled experiments.
  • Numerical exploration of fiber break burst distributions with infinite interaction range.

    • Main Results:

    • The model exhibits various constitutive behaviors, including macroscopic plasticity, based on its parameters.
    • Analytical characterization of the damage process along the plastic plateau.
    • Simulations reveal power law burst distributions with exponents differing from the mean-field value (5/2) under specific conditions.

    Conclusions:

    • The continuous damage fiber bundle model offers a versatile framework for material behavior studies.
    • The model can reproduce complex failure dynamics, including plasticity and non-trivial burst distributions.
    • A phase diagram elucidates the conditions leading to different burst distribution types.