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Thermally activated breakdown in the fiber-bundle model

Roux1

  • 1Laboratoire Surface du Verre et Interfaces, Unite Mixte de Recherche CNRS/Saint-Gobain UMR 125, 39 Quai Lucien Lefranc, 93303 Aubervilliers Cedex, France.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
Summary

This study introduces a fiber bundle model with thermally activated fracture. Researchers derived an analytical expression for mean failure time under load, revealing disorder effects on effective temperature.

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Area of Science:

  • Materials Science
  • Statistical Mechanics
  • Solid Mechanics

Background:

  • Fiber bundle models are used to study material fracture.
  • Thermal activation is a key mechanism in material failure.
  • Understanding fracture precursors is crucial for predicting material lifetime.

Purpose of the Study:

  • To introduce a fiber bundle model with thermally activated fiber fracture.
  • To derive an analytical expression for the mean failure time of the bundle under fixed load.
  • To investigate the effect of quenched disorder on the bundle's effective temperature and critical properties.

Main Methods:

  • Development of a fiber bundle model incorporating thermal activation of fiber fracture.
  • Analytical derivation of the mean failure time as a function of applied load.

Related Experiment Videos

  • Analysis of quenched disorder in fiber fracture stress using a Gaussian distribution.

    • Main Results:

    • An analytical expression for the mean failure time was obtained.
    • Quenched disorder with a Gaussian distribution leads to an effective temperature shift.
    • The model allows investigation of critical properties related to fracture precursors.

    Conclusions:

    • The proposed fiber bundle model provides a framework for studying thermally activated fracture.
    • Disorder in fiber strength significantly influences the effective temperature and failure behavior.
    • The model offers insights into critical phenomena preceding material failure.