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Dimensional effects in dynamic fragmentation of brittle materials
R P Linna1, J A Aström, J Timonen
1Department of Physics, University of Jyväskylä, P. O. Box 35, FIN-40351 Jyväskylä, Finland.
Summary
Dynamic fragmentation of 2D brittle objects in 3D space reveals a new mechanism causing secondary breaking. This alters the fragment-size distribution power law, resulting in a new scaling exponent of approximately 1.17.
Area of Science:
- Physics
- Materials Science
- Fracture Mechanics
Background:
- Dynamic fragmentation of brittle objects in D-dimensional space exhibits a universal power-law size distribution with exponent 2-1/D.
- Previous studies focused on D-dimensional fragmentation within D-dimensional space.
Purpose of the Study:
- Investigate fragmentation of two-dimensional (2D) brittle objects in three-dimensional (3D) space.
- Identify novel fragmentation mechanisms and their impact on fragment-size distribution.
- Determine the scaling exponent of the power law in this specific scenario.
Main Methods:
- Experimental or computational modeling of dynamic fragmentation of 2D brittle objects.
- Analysis of fragment-size distributions.
- Identification and characterization of secondary breaking mechanisms.
Main Results:
- An additional fragmentation mechanism, secondary breaking, was observed in 2D object fragmentation within 3D space.
- This secondary breaking is scale-invariant, affecting existing fragments.
- The fragment-size distribution exhibits a power law with a scaling exponent of approximately 1.17, differing from the universal exponent.
Conclusions:
- Fragmentation of 2D brittle objects in 3D space is governed by a distinct mechanism compared to D-dimensional fragmentation.
- Secondary breaking introduces a new scaling behavior in fragment-size distributions.
- The observed scaling exponent of ~1.17 provides crucial data for understanding complex fracture phenomena.