Visualizations of a n-ary Fragmentation Process with Neighborhood Interaction

Abstract

It is defined a multiple fragmentation model in 2 dimensions. To represent the material defects, a random distribution of point flaws is considered. The number of generated fragments and breaking criterion also are random variables. The n-ary fragmentation process is produced by a breaking criterion that depends on the distribution of point flaws and neighboring fragments. The total mass is conserved. To stop each fragment iterative fracture a random stop is evaluated. The visualizations of the model present complex patterns of fracture that resemble real systems.