6533b7d7fe1ef96bd1268433
RESEARCH PRODUCT
Solution for the fragment-size distribution in a crack-branching model of fragmentation
Jan ÅStrömJussi TimonenPekka Kekäläinensubject
Fragment sizePhysicsBrittlenessFragmentation (mass spectrometry)Euclidean geometryGeometryDependent parameterBranching (polymer chemistry)description
It is well established that rapidly propagating cracks in brittle material are unstable such that they generate side branches. It is also known that cracks are attracted by free surfaces, which means that they attract each other. This information is used here to formulate a generic model of fragmentation in which the small-size part of the fragment-size distribution results from merged crack branches in the damage zones along the paths of the propagating cracks. This model is solved under rather general assumptions for the fragment-size distribution. The model leads to a generic distribution S(-gamma) exp(-S/S(0)) for fragment sizes S, where gamma = 2d-1/d with d the Euclidean dimension, and S(0) is a material dependent parameter.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-03-02 | Physical Review E |