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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.
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.
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.
- Analysis of quenched disorder in fiber fracture stress using a Gaussian distribution.
Main Results:
- An analytical expression for the mean failure time
- 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.