M. Jirasek et Zp. Bazant, PARTICLE MODEL FOR QUASIBRITTLE FRACTURE AND APPLICATION TO SEA-ICE, Journal of engineering mechanics, 121(9), 1995, pp. 1016-1025
Fracture of quasibrittle materials with a large zone of distributed cr
acking is simulated by the particle model (discrete element method). T
he particles at the microlevel interact only by central forces with a
prescribed force-displacement or stress-strain relation, which exhibit
s postpeak softening and is characterized by microstrength and microfr
acture energy. It is shown that a regular lattice, even though capable
of closely approximating isotropic elastic properties, exhibits stron
g directional bias favoring propagation along a few preferred directio
ns. A randomly generated particle model has no such bias. With a prope
r choice of the microlevel constitutive law, it can realistically simu
late fracture of an ice flee during impact on a rigid obstacle. Explic
it integration of the equations of motion is used to simulate the impa
ct process and to explore the effect of the flee size and its initial
velocity on the failure pattern and the history of the contact force.