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Scale-free bursting activity in shrinkage induced cracking.
Roland Szatmári1, Akio Nakahara2, So Kitsunezaki3
1Department of Theoretical Physics, Doctoral School of Physics, Faculty of Science and Technology, University of Debrecen, P.O.Box: 400, Debrecen, 4002, Hungary.
Shrinkage-induced cracking in heterogeneous materials occurs in bursts, with crack patterns exhibiting scale-free distributions. Local micro-cracking events follow universal power-law statistics, explaining overall crack behavior and aiding acoustic monitoring.
Area of Science:
- Materials Science
- Physics
- Computational Modeling
Background:
- Heterogeneous materials exhibit complex crack patterns during shrinkage.
- Acoustic emissions are used to monitor material degradation.
Purpose of the Study:
- To investigate the dynamics of shrinkage-induced cracking in thin heterogeneous layers.
- To explain the observed crack patterns and acoustic signals.
Main Methods:
- Computer simulations using a realistic discrete element model.
- Analysis of crack patterns, size, and duration distributions.
- Investigation of local micro-cracking events and their correlations.
Main Results:
- Shrinkage cracking proceeds in bursts with scale-free distributions of size and duration.
- Non-universal exponents depend on system size and shrinking rate.
- Local avalanches of micro-cracking obey universal power-law statistics.
- Non-universality of the integrated signal results from temporal superposition of local avalanches.
Conclusions:
- The study explains crack pattern formation and acoustic emissions during material shrinkage.
- Findings offer insights into electro-mechanical degradation monitoring in battery electrodes.

