Bursts in a fiber bundle model with continuous damage

Abstract

We study the constitutive behaviour, the damage process, and the properties of bursts in the continuous damage fiber bundle model introduced recently. Depending on its two parameters, the model provides various types of constitutive behaviours including also macroscopic plasticity. Analytic results are obtained to characterize the damage process along the plastic plateau under strain controlled loading, furthermore, for stress controlled experiments we develop a simulation technique and explore numerically the distribution of bursts of fiber breaks assuming infinite range of interaction. Simulations revealed that under certain conditions power law distribution of bursts arises with an exponent significantly different from the mean field exponent 5/2. A phase diagram of the model characterizing the possible burst distributions is constructed.

9 pages, 11 figures, APS style, submitted for publication

References in corpus (1)

• Time dependence of breakdown in a global fiber-bundle model with continuous damage

Cited by in corpus (20)

• Failure Processes in Elastic Fiber Bundles
• Dynamic critical behavior of failure and plastic deformation in the random fiber bundle model
• Phase transition in fiber bundle models with recursive dynamics
• Failure process of a bundle of plastic fibers
• Local load sharing fiber bundles with a lower cutoff of strength disorder
• Failure properties of fiber bundle models
• Scaling laws of creep rupture of fiber bundles
• Failure due to fatigue in fiber bundles and solids
• Thermodynamics of fiber bundles
• A simple beam model for the shear failure of interfaces
• Continuous Damage Fiber Bundle Model for Strongly Disordered Materials
• Dynamics of fracturing saturated porous media and self-organization of rupture
• Brittle to Ductile Transition in a Fiber Bundle with Strong Heterogeneity
• Universal avalanche statistics and triggering close to failure in a mean field model of rheological fracture
• Anisotropy in Rupture Lines of Paper Sheets
• Classification of Possible Finite-Time Singularities by Functional Renormalization
• Discrete Fracture Model with Anisotropic Load Sharing
• Damage process of a fiber bundle with a strain gradient
• Crack Localization and the Interplay between Stress Enhancement and Thermal Noise
• Crackling noise in three-point bending of heterogeneous materials