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Forecasting failure locations in 2-dimensional disordered lattices.

Estelle Berthier1, Mason A Porter2, Karen E Daniels3

  • 1Department of Physics, North Carolina State University, Raleigh, NC 27695; ehberthi@ncsu.edu.

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Summary
This summary is machine-generated.

Predicting structural failure is crucial. This study shows that key fracture locations in disordered materials can be identified by analyzing network paths, simplifying failure assessment without complex energy calculations.

Keywords:
centralityfailurelatticesnetworks

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Area of Science:

  • Materials Science
  • Network Science
  • Physics

Background:

  • Forecasting fracture locations in failing structures is critical for material integrity.
  • Disordered materials exhibit complex failure mechanisms that are challenging to predict.
  • Understanding failure in 2D lattices provides insights into broader structural material behavior.

Purpose of the Study:

  • To develop a method for predicting fracture locations in progressively failing 2D disordered lattices.
  • To investigate the relationship between network structure and failure points.
  • To assess the efficacy of network analysis in simplifying failure prediction.

Main Methods:

  • Representing 2D disordered lattices as networks with varying mean degrees.
  • Constructing experimental sample networks based on 2D granular media contact networks.
  • Calculating geodesic edge betweenness centrality to identify critical network paths.

Main Results:

  • Failures predominantly occur at edges with geodesic edge betweenness values higher than the mean.
  • A small fraction of edges exhibit above-mean betweenness, indicating localized failure points.
  • Geodesic edge betweenness centrality effectively forecasts failure locations across various failure behaviors.

Conclusions:

  • Geodesic edge betweenness centrality is a relevant diagnostic for assessing structural failure locations.
  • Failure prediction can be simplified by focusing on specific network components.
  • Structural failure can be assessed without detailed analysis of energetic states.