Let’s start with a simple idea… in 2D.
The most simple model for fragmentation of brittle angular particles in the frame of a discrete element approach.
At a first order, does the number of contact forces matter? Their intensity? Their relation with the tensile strength of the material? Of course, within a grain the distribution of stresses is quite heterogeneous. However, the average stress tensor seams to be encoding lots of information concerning the particle resistance as well as the orientations of cracks!
By means of a discrete element method, supported by FEM simulations of particles of different shapes under loading, we are capable to reproduce the fragmentation patterns observed during the compaction of pentagons made of plaster.
Do you want to see more?
Check our paper here!
David Cantor 