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Edge betweenness centrality as a failure predictor in network models of structurally disordered materials.
Mahshid Pournajar1, Michael Zaiser1, Paolo Moretti2
1Department of Materials Science, WW8-Materials Simulation, Friedrich-Alexander Universität Erlangen-Nürnberg, Fürth, 90762, Germany.
Network measures like geodesic edge betweenness centrality (GEBC) may predict material failure. However, this study finds a complex relationship, suggesting GEBC needs careful consideration as a failure predictor in disordered materials.
Area of Science:
- Materials Science
- Network Science
- Statistical Physics
Background:
- Network theoretical measures are explored for predicting material failure.
- Geodesic edge betweenness centrality (GEBC) quantifies link significance in networks based on shortest paths.
Purpose of the Study:
- To investigate GEBC as a failure predictor in two-dimensional fuse network models.
- To analyze the correlation between GEBC and failure propensity in disordered materials.
Main Methods:
- Studied GEBC evolution in fuse networks leading up to failure.
- Analyzed GEBC correlation with failure propensity in hierarchical and non-hierarchical networks.
- Investigated networks with varying degrees of structural disorder.
Main Results:
- Observed a non-trivial relationship between GEBC and failure propensity.
- GEBC's predictive power for material failure is complex and context-dependent.
- The significance of GEBC as a failure predictor requires careful qualification.
Conclusions:
- GEBC alone may not be a universally reliable predictor of material failure.
- Further research is needed to understand the nuances of GEBC in predicting failure in disordered systems.
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