The effect of disorder on the fracture nucleation process

Abstract

The statistical properties of failure are studied in a fiber bundle model with thermal noise. We show that the macroscopic failure is produced by a thermal activation of microcracks. Most importantly the effective temperature of the system is amplified by the spatial disorder (heterogeneity) of the fiber bundle. The case of a time dependent force and the validity of the Kaiser effects are also discussed. These results can give more insight to the recent experimental observations on thermally activated crack and can be useful to study the failure of electrical networks.

22 pages, 11 fgures

References in corpus (5)

• Rheological constitutive equation for model of soft glassy materials
• Tri-critical behavior in rupture induced by disorder
• Burst avalanches in solvable models of fibrous materials
• Precise Measurement of the Left-Right Cross Section Asymmetry in $Z$ Boson Production by $\ee$ Collisions
• Failure time and microcrack nucleation

Cited by in corpus (25)

• Failure Processes in Elastic Fiber Bundles
• Andrade and Critical Time-to-Failure Laws in Fiber-Matrix Composites: Experiments and Model
• Subcritical statistics in rupture of fibrous materials: Experiments and model
• Magnitude-Dependent Omori Law: Empirical Study and Theory
• Fractures in complex fluids: the case of transient networks
• Failure time in the fiber-bundle model with thermal noise and disorder
• Andrade, Omori and Time-to-failure Laws from Thermal Noise in Material Rupture
• Thermal activation of rupture and slow crack growth in a model of homogenous brittle materials
• Noise-induced volatility of collective dynamics
• Dynamical affinity in opinion dynamics modelling
• Subcritical crack growth in fibrous materials
• Slow crack growth : models and experiments
• The cooperative effect of load and disorder in thermally activated rupture of a two-dimensional random fuse network
• Super-Arrhenius dynamics for sub-critical crack growth in disordered brittle media
• Exact asymptotic solutions to nonlinear Hawkes processes: a systematic classification of the steady-state solutions
• Crack Localization and the Interplay between Stress Enhancement and Thermal Noise
• Creep-like behavior in athermal threshold dynamics: Effects of disorder and stress
• Micro-structure of damage in thermally activated fracture of Lennard-Jones systems
• Thermally Activated Fracture of Porous Media
• Effect of quenched heterogeneity on creep lifetimes of disordered materials
• Size scaling of failure strength at high disorder
• Multifractal Omori Law for Earthquake Triggering: New Tests on the California, Japan and Worldwide Catalogs
• Creep failure in a threshold activated dynamics: Role of temperature during a sub-critical loading
• Statistical Physics of Rupture in Heterogeneous Media
• Creep failure in heterogeneous materials from the barrier landscape