Two-dimensional extrusion of crushed ice. Part 2: analysis

Abstract The present paper describes an analysis to predict the pressure distribution developed during the two-dimensional extrusion of crushed ice contained between two rigid plates approaching each other with constant velocity. The constitutive behaviour of the crushed ice is assumed to be described by a cohesive Mohr-Coulomb material. A rate independent Coulomb-like friction law is assumed to describe the friction between the ice particles and the plate walls. The analysis is based upon depth-averaged equations for conservation of mass and linear momentum. An analytical solution is found for the limiting case of extrusion of crushed ice between two converging parallel plates. For the more general case in which the thickness of the crushed ice layer is a function of position as well as time, solutions are obtained by numerical integration. The resulting plate pressure distributions are found to have spike-like profiles, maximum at the middle of the plates with a nearly exponential decay with distance from the centre-line. The results are compared with the experiments presented in Part 1 of this investigation (Sayed and Frederking, 1992, this issue). The corresponding values for material properties were determined.