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Fracture process of composite materials in a spring network model.
Haruka Noguchi1, Satoshi Yukawa1
1Department of Earth and Space Science, Graduate School of Science, <a href="https://ror.org/035t8zc32">Osaka University</a>, Toyonaka, Osaka 560-0043, Japan.
Physical Review. E
|November 20, 2024
Summary
This study models spring networks, revealing intermittent stress drops and ductile-like behavior. Scaling analysis shows structural cutoffs in avalanche and crack size distributions, linking cluster growth to crack propagation.
Area of Science:
- Physics
- Materials Science
- Computational Modeling
Background:
- Understanding material failure mechanisms is crucial.
- Spring network models offer insights into complex system dynamics.
- Ductile-like behavior arises from collective failure events.
Purpose of the Study:
- To analyze a 2D spring network with breakable and unbreakable springs.
- To investigate stress drops, ductile-like behavior, and scaling properties.
- To explore the relationship between cluster growth, stress drop, and crack propagation.
Main Methods:
- Computer simulations of a two-dimensional spring network.
- Analysis of stress drops and strain regimes.
- Scaling analysis of avalanche and crack size distributions.
Main Results:
- The system exhibits intermittent stress drops and ductile-like behavior.
- Avalanche and crack size distributions show structure-dependent cutoffs.
- Stress drop scales with crack growth via a power law.
Conclusions:
- Material failure in spring networks is characterized by scale-invariant properties.
- The internal structure dictates the cutoff in size distributions.
- A relationship exists between cluster growth, stress drop, and crack size distribution exponents.
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