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Scaling laws for impact fragmentation of spherical solids
1Department of Theoretical Physics, University of Debrecen, P. O. Box 5, H-4010 Debrecen, Hungary.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
Impact fragmentation of brittle materials was studied using discrete element modeling. Findings reveal fragment mass distribution is independent of impact velocity, with breakup time scaling with impact speed.
Area of Science:
- Solid mechanics
- Computational physics
- Materials science
Background:
- Understanding material fragmentation under impact is crucial for engineering applications.
- Previous studies have explored impact dynamics, but scaling relationships in heterogeneous brittle materials require further investigation.
Purpose of the Study:
- To investigate the impact fragmentation of spherical solid bodies composed of heterogeneous brittle materials.
- To determine critical exponents for the damage-fragmentation phase transition using finite size scaling analysis.
- To establish scaling relations concerning material radius and impact velocity.
Main Methods:
- Discrete element modeling (DEM) was employed to simulate impact fragmentation.
- Simulations were conducted for four distinct system sizes across a broad range of impact velocities.
- Finite size scaling analysis was performed to analyze the damage-fragmentation phase transition.
Main Results:
- The exponent of the power-law distributed fragment mass was found to be independent of impact velocity.
- The characteristic time scale of breakup exhibits a power-law dependence on impact speed and proximity to critical speed.
- The total damage amount shows a similar power-law behavior, differing from 2D observations.
Conclusions:
- The study clarifies that apparent changes in fragment mass exponents are due to shifting cutoffs and discrete units, not velocity dependence.
- Scaling relations for fragmentation dynamics in 3D heterogeneous brittle materials were established.
- The findings provide a more accurate model for predicting material fragmentation under impact.
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