均匀载荷下纤维束强度最大化
Maximizing the strength of fiber bundles under uniform loading
摘要：
纤维系统的集体强度，每个纤维具有从分布中随机抽取的失效阈值，指示不同无序系统的最大承载能力，从无序固体、电网网络到平行道路系统中的交通。在局部失效后载荷的重新分布可以控制的许多情况下，自然需要找到最有效的重新分布方案，即，随后系统可以承载最大负载。我们在这里解决这个问题，发现答案取决于装载方式。我们解析地找到了最大强度和相应的再分配计划的突然和准静态加载。研究了随着载荷的增加，材料从部分失效到完全失效的相关相变。普遍性类被发现依赖于再分配机制。
英文摘要：
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.
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