Maximizing the strength of fiber bundles under uniform loading

Abstract

The collective strength of a system of fibers, each having a failure threshold drawn randomly from a distribution, indicates the maximum load carrying capacity of different disordered systems ranging from disordered solids, power-grid networks, to traffic in a parallel system of roads. In many of the cases where the redistribution of load following a local failure can be controlled, it is a natural requirement to find the most efficient redistribution scheme, i.e., following which system can carry the maximum load. We address the question here and find that the answer depends on the mode of loading. We analytically find the maximum strength and corresponding redistribution schemes for sudden and quasi static loading. The associated phase transition from partial to total failure by increasing the load has been studied. The universality class is found to be dependent on the redistribution mechanism.

7 pages, 6 figures (including supplemental material)

References in corpus (6)

• Robustness of interdependent networks under targeted attack
• Avalanche Collapse of Interdependent Network
• Nucleation versus percolation: Scaling criterion for failure in disordered solids
• Onset of Localization in Heterogeneous Interfacial Failure
• Scaling forms for Relaxation Times of the Fiber Bundle model
• A Fiber Bundle Model of Traffic Jams

Cited by in corpus (3)

• Avalanche dynamics in hierarchical fiber bundles
• Introduction to Critical Phenomena through the Fiber Bundle Model of Fracture
• Effect of localized loading on failure threshold of fiber bundles