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Cooperative Dynamics in the Fiber Bundle Model
Frontiers in Physics ( IF 3.1 ) Pub Date : 2020-12-23 , DOI: 10.3389/fphy.2020.613392
Bikas K. Chakrabarti , Soumyajyoti Biswas , Srutarshi Pradhan

We discuss the cooperative failure dynamics in the fiber bundle model where the individual elements or fibers are Hookean springs that have identical spring constants but different breaking strengths. When the bundle is stressed or strained, especially in the equal-load-sharing scheme, the load supported by the failed fiber gets shared equally by the rest of the surviving fibers. This mean-field-type statistical feature (absence of fluctuations) in the load-sharing mechanism helped major analytical developments in the study of breaking dynamics in the model and precise comparisons with simulation results. We intend to present a brief review on these developments.



中文翻译:

光纤束模型中的合作动力学

我们讨论了纤维束模型中的协作破坏动力学,其中单个元素或纤维是具有相同的弹簧常数但具有不同的断裂强度的Hookean弹簧。当束受到应力或拉紧时,尤其是在等负载分担方案中,发生故障的光纤所支撑的负载将由其余尚存的光纤平均分配。负载共享机制中的这种平均场类型统计特征(无波动)有助于模型断裂动力学研究以及与模拟结果的精确比较研究中的重大分析开发。我们打算对这些事态发展进行简要回顾。

更新日期:2021-02-15
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