Crater depth prediction in granular collisions: A uniaxial compression model
F Corrales-Machín1, Y Nahmad-Molinari1, G Viera-López2
1<a href="https://ror.org/000917t60">Universidad Autónoma de San Luis Potosí</a>, Instituto de Física, Avenida Parque Chapultepec 1570, San Luis Potosí 78295, México.
Physical Review. E
|June 22, 2024
Summary
This study reveals that compacted sand targets produce shallower impact craters than loosely packed ones. A new model explains this phenomenon through uniaxial compression, impacting planetary crater interpretation.
Area of Science:
- Geophysics
- Planetary Science
- Materials Science
Background:
- Traditional impact cratering studies use loosely packed granular media.
- Previous models predict depth-energy scaling laws that do not fully account for target compaction.
Purpose of the Study:
- Investigate granular impact cratering in both loosely and tightly packed sand.
- Develop a physical model to explain observed deviations in crater depth scaling.
- Interpret planetary crater morphology in light of granular mechanics.
Main Methods:
- Conducting impact cratering experiments on sand targets with varying packing densities.
- Analyzing crater diameter and depth as a function of impact energy.
- Developing a physical model based on uniaxial compression and energy balance.
Main Results:
- Impact crater diameter follows power-law scaling with impact energy, consistent with prior research.
- Crater depth deviates from predicted power-law scaling, particularly in compacted targets.
- A uniaxial compression model explains depth saturation and shallower craters in compacted sand.
Conclusions:
- Compacted granular media exhibit shallower impact craters due to enhanced vertical to horizontal momentum transfer.
- The proposed uniaxial compression mechanism offers a new interpretation for the shallowness of planetary craters.
- This work refines understanding of impact processes in granular materials relevant to planetary bodies.
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