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Continuous damage fiber bundle model for strongly disordered materials.

Frank Raischel1, Ferenc Kun, Hans J Herrmann

  • 1ICP, University of Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart, Germany. raischel@icp.uni-stuttgart.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 4, 2008
PubMed
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This study extends the continuous damage fiber bundle model to simulate material degradation. Extreme value statistics govern failure, impacting material behavior and crack propagation.

Area of Science:

  • Materials Science
  • Statistical Mechanics
  • Continuum Mechanics

Background:

  • Heterogeneous materials exhibit complex failure mechanisms under load.
  • Existing models may not fully capture gradual degradation and crack propagation.

Purpose of the Study:

  • To extend the continuous damage fiber bundle model for heterogeneous materials.
  • To analyze the influence of partial failure events and disorder on material degradation.

Main Methods:

  • Extension of the continuous damage fiber bundle model.
  • Incorporation of partial failure events at random thresholds.
  • Sorting of failure thresholds and Poissonian distribution of degradation steps.
  • Analytical and numerical calculations.

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Main Results:

  • The failure process is governed by extreme value statistics.
  • This statistical behavior significantly affects macroscopic constitutive behavior.
  • Microscopic bursting activity is also substantially influenced.

Conclusions:

  • The extended model accurately describes gradual degradation in heterogeneous materials.
  • Extreme value statistics are crucial for understanding material failure.
  • The model provides insights into crack propagation and arrest mechanisms.