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Time-dependent fracture under unloading in a fiber bundle model.

Réka Körei1, Ferenc Kun1

  • 1Department of Theoretical Physics, University of Debrecen, P.O. Box 5, H-4010 Debrecen, Hungary.

Physical Review. E
|September 27, 2018
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Summary

Investigating heterogeneous material fracture during unloading reveals two distinct failure phases. Rapid unloading leads to partial failure and infinite lifetime, while slow unloading results in macroscopic failure within a finite time, predictable by burst rate analysis.

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Area of Science:

  • Materials Science
  • Physics
  • Complex Systems

Background:

  • Fracture in heterogeneous materials under unloading is a critical phenomenon.
  • Understanding time-dependent fracture mechanics is essential for predicting material failure.

Purpose of the Study:

  • To investigate the fracture behavior of heterogeneous materials during unloading.
  • To identify distinct failure phases based on unloading rates.
  • To explore the predictability of catastrophic failure.

Main Methods:

  • Utilized a fiber bundle model for time-dependent fracture.
  • Conducted computer simulations to analyze fracture dynamics.
  • Analyzed burst activity and event rates during unloading.

Main Results:

  • Identified two failure phases: partial failure with infinite lifetime (rapid unloading) and macroscopic failure in finite time (slow unloading).
  • Observed fracture proceeding in bursts triggered by accumulating damage.
  • Demonstrated that burst rate evolution follows a universal power-law decay, accelerating towards failure following the inverse Omori law.

Conclusions:

  • The transition between failure phases is analogous to continuous phase transitions.
  • A strong correlation between minimum event rate and system lifetime allows for forecasting imminent catastrophic failure.
  • The study provides insights into predicting material failure under unloading conditions.