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Statistical properties of fracture in a random spring model
Phani Kumar V V Nukala1, Stefano Zapperi, Srdan Simunović
1Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6359, USA.
Summary
This study shows that simple scalar models accurately represent complex fracture behavior in disordered materials. These findings simplify the analysis of material failure and crack localization in random spring systems.
Area of Science:
- Physics
- Materials Science
- Computational Science
Background:
- Fracture in disordered materials is complex.
- Understanding crack localization is crucial for material failure analysis.
Purpose of the Study:
- To analyze fracture properties in the 2D random spring model.
- To compare these properties with the scalar random fuse model.
- To assess the validity of scalar models in representing disordered systems.
Main Methods:
- Large-scale numerical simulations were employed.
- The study analyzed statistical properties of fracture.
- Damage evolution under increasing external load was measured.
Main Results:
- Damage was initially uniform and localized at peak load, similar to the fuse model.
- Scaling laws for damage density, fracture strength, and avalanche distributions showed slight variations from the fuse model.
- The random spring model's fracture behavior was closely replicated.
Conclusions:
- Scalar models, like the random fuse model, faithfully represent fracture properties of disordered systems.
- The study validates the use of simplified scalar models for analyzing material failure.
- Numerical simulations provide insights into crack localization and scaling laws.