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Inequality Indices Applied to Statistical Physics of Criticality in an Impregnated Fiber Bundle Model
Mechanics of Composite Materials ( IF 1.7 ) Pub Date : 2023-10-31 , DOI: 10.1007/s11029-023-10137-3
S. V. Lomov , S. G. Abaimov , C. Breite , Y. Swolfs

Inequality indices (Hirsch and Kolkata) are used in social science and scientometrics. Previously, they were shown to have useful applications in statistical physics of criticality in a Fiber Bundle Model (FBM) with an Equal Load Sharing (ELS). The indices offer potentially useful techniques for predicting the imminent failure of the bundle. In this paper, the same indices are calculated for the case of an Impregnated Fiber Bundle Model (IFBM) with physically based load redistributions around fiber breaks based on finite element model stress fields. It is shown that the behavior of the Hirsch and Kolkata indices in this case are similar to the behavior in the FBM with ELS, including similar critical values for the final failure of the bundle.



中文翻译:

不等式指数应用于浸渍纤维束模型临界统计物理

不平等指数(赫希指数和加尔各答指数)用于社会科学和科学计量学。此前,它们被证明在具有等负载分配 (ELS) 的光纤束模型 (FBM) 的临界统计物理中具有有用的应用。这些指数为预测捆绑即将发生的故障提供了潜在有用的技术。在本文中,针对浸渍纤维束模型 (IFBM) 的情况计算了相同的指数,该模型基于有限元模型应力场在纤维断裂周围进行基于物理的载荷重新分布。结果表明,这种情况下 Hirsch 指数和 Kolkata 指数的行为与采用 ELS 的 FBM 中的行为类似,包括束最终失效的类似临界值。

更新日期:2023-10-31
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