Hydrodynamic model of a collision of a spherical plastic ice particle with a perfectly rigid substrate

Impact of a single particle onto rigid substrate leads to its deformation and subsequent fragmentation. In this theoretical study simplified model for the plastic flow in deforming is developed which accounts dependence yield strength on effective local strain rate. The approximated by an incompressible inviscid satisfies conditions impenetrability substrate. expression pressure field obtained from momentum balance equations. This includes stresses, inertial effects associated with typical velocity effects, deceleration. predictions maximum force, force evolution height agree well experimental data found literature. No adjustable parameters used model.