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Mechanics of Composite Materials
Published in: Mechanics of Composite Materials 5/2023

31-10-2023

Inequality Indices Applied to Statistical Physics of Criticality in an Impregnated Fiber Bundle Model

Authors: S. V. Lomov, S. G. Abaimov, C. Breite, Y. Swolfs

Published in: Mechanics of Composite Materials | Issue 5/2023

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Abstract

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.
next article “Van Fo Fy Method” in the Micromechanics of Fibrous Composites

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Metadata
Title
Inequality Indices Applied to Statistical Physics of Criticality in an Impregnated Fiber Bundle Model
Authors
S. V. Lomov
S. G. Abaimov
C. Breite
Y. Swolfs
Publication date
31-10-2023
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 5/2023
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-023-10137-3

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