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We present recent improvements of the modeling of the disruption of strengthdominated bodies using the Smooth Particle Hydrodynamics (SPH) technique. Theimprovements include an updated strength model and a friction model, which aresuccessfully tested by a comparison with laboratory experiments. In themodeling of catastrophic disruptions of asteroids, a comparison between old andnew strength models shows no significant deviation in the case of targets whichare initially non-porous, fully intact and have a homogeneous structure (suchas the targets used in the study by Benz&Asphaug (1999). However, for manycases (e.g. initially partly or fully damaged targets, rubble-pile structures,etc.) we find that it is crucial that friction is taken into account and thematerial has a pressure dependent shear strength. Our investigations of thecatastrophic disruption threshold $Q^*_{D}$ as a function of target propertiesand target sizes up to a few 100 km show that a fully damaged target modeledwithout friction has a $Q^*_{D}$ which is significantly (5-10 times) smallerthan in the case where friction is included. When the effect of the energydissipation due to compaction (pore crushing) is taken into account as well,the targets become even stronger ($Q^*_{D}$ is increased by a factor of 2-3).On the other hand, cohesion is found to have an negligible effect at largescales and is only important at scales $\lesssim$ 1km. Our results show therelative effects of strength, friction and porosity on the outcome ofcollisions among small ($\lesssim$ 1000 km) bodies. These results will be usedin a future study to improve existing scaling laws for the outcome ofcollisions (e.g. Leinhardt&Stewart, 2012).

SPH calculations of asteroid disruptions: The role of pressure dependent failure models