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Crack-cluster distributions in the random fuse model.

Sirisha Nukala1, Phani Kumar V V Nukala, Srdan Simunović

  • 1Department of Industrial and Information Engineering, University of Tennessee, Knoxville, TN 37996-0700, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2006
PubMed
Summary

Large-scale simulations reveal crack behavior in materials. Contrary to expectations, fracture strength is uncorrelated with the largest crack size at peak load, with smaller cracks often causing failure.

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Area of Science:

  • Materials Science
  • Statistical Physics
  • Computational Physics

Background:

  • Understanding material fracture is crucial for engineering safety and design.
  • Previous studies often assumed correlations between crack size and material strength.

Purpose of the Study:

  • To analyze crack-cluster distributions and their scaling properties at peak load.
  • To investigate the relationship between largest crack size and fracture strength in random fuse models.

Main Methods:

  • Large-scale numerical simulations using 2D and 3D random fuse models.
  • Extensive sampling to analyze crack-cluster distributions and scaling properties.

Main Results:

  • Crack-cluster distribution at peak load does not follow power-law or exponential distributions.

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  • Largest crack-cluster distribution at peak load follows a lognormal distribution.
  • Fracture strength and largest crack size at peak load are uncorrelated.

    • Conclusions:

    • The final crack often forms from smaller crack coalescence, not largest crack propagation.
    • Challenging the conventional belief of a direct correlation between largest crack size and fracture strength.