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Fracture model with variable range of interaction.

Raul Cruz Hidalgo1, Yamir Moreno, Ferenc Kun

  • 1ICA1, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 15, 2002
PubMed
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We developed a new fiber bundle model with adjustable stress transfer, bridging global and local load sharing. Numerical studies reveal a crossover from mean-field to short-range behavior, impacting material strength and fiber breakage patterns.

Area of Science:

  • Materials Science
  • Statistical Physics
  • Complex Systems

Background:

  • Fiber bundle models are crucial for understanding material failure.
  • Existing models often simplify load redistribution to global or local sharing.
  • A unified model is needed to capture intermediate behaviors.

Purpose of the Study:

  • Introduce a flexible fiber bundle model.
  • Investigate the transition between global and local load sharing.
  • Analyze the impact of interaction range on material properties.

Main Methods:

  • Developed a fiber bundle model with an adjustable stress-transfer function.
  • Employed numerical simulations to study model behavior.
  • Analyzed system size dependence, avalanche distributions, and cluster sizes.

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Main Results:

  • Observed a crossover from mean-field to short-range behavior with varying interaction range.
  • Characterized the distinct properties of both regimes and the transition zone.
  • Quantified the dependence of ultimate strength and breakage patterns on system parameters.

Conclusions:

  • The proposed model successfully interpolates between global and local load sharing.
  • The crossover phenomenon is a key feature influenced by interaction range.
  • Understanding this crossover is vital for predicting material failure in complex systems.