Failure Processes in Elastic Fiber Bundles

Abstract

The fiber bundle model describes a collection of elastic fibers under load. the fibers fail successively and for each failure, the load distribution among the surviving fibers change. Even though very simple, the model captures the essentials of failure processes in a large number of materials and settings. We present here a review of fiber bundle model with different load redistribution mechanism from the point of view of statistics and statistical physics rather than materials science, with a focus on concepts such as criticality, universality and fluctuations. We discuss the fiber bundle model as a tool for understanding phenomena such as creep, and fatigue, how it is used to describe the behavior of fiber reinforced composites as well as modelling e.g. network failure, traffic jams and earthquake dynamics.

This article has been Editorially approved for publication in Reviews of Modern Physics

References in corpus (18)

• Statistical Models of Fracture
• Universality Class of Fiber Bundle Model on Complex Networks
• Local load sharing fiber bundles with a lower cutoff of strength disorder
• Crossover behavior in failure avalanches
• Universality class of fiber bundles with strong heterogeneities
• Relaxation dynamics in strained fiber bundles
• A Fiber Bundle Model of Traffic Jams
• Effect of discontinuity in threshold distribution on the critical behaviour of a random fiber bundle
• The cooperative effect of load and disorder in thermally activated rupture of a two-dimensional random fuse network
• Phase transition in the modified fiber bundle model
• Energy bursts in fiber bundle models of composite materials
• A random fiber bundle with many discontinuities in the threshold distribution
• Breaking rate minimum predicts the collapse point of over-loaded materials
• Failure avalanches in fiber bundles for discrete load increase
• Discrete Fracture Model with Anisotropic Load Sharing
• Duality and phase diagram of one dimensional transport
• Damage process of a fiber bundle with a strain gradient
• Fibers on a graph with local load sharing

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• Crossover behaviors in one and two dimensional heterogeneous load sharing fiber bundle models
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• Excess Vibrational Density of States and the Brittle to Ductile Transition in Crystalline and Amorphous Solids
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• Creep failure in heterogeneous materials from the barrier landscape
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• A damage model based on failure threshold weakening
• Effect of localized loading on failure threshold of fiber bundles
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