A MODEL OF CUTTING CELLULAR ELASTIC-MATERIALS

A plane model for the cutting of cellular elastic material by a rigid triangular non-slender cutter is developed. The cutter propagates quas i-statically with Coulomb friction at the boundaries causing rupture o f the cells in front of the vertex and densification of the material a long the cutter's faces. Postulating a wedge-shaped form for the compa cted material allows formulating a mixed boundary value problem which is solved exactly by means of Cauchy type integrals. Fracture criteria for rupture and densification processes are applied to adjust the for mal solution and to find the cutting regime parameters. The wedging ph enomenon with a leading crack and the bearing strain process with a bu ilt-up edge are predicted for the cases when cutting is impossible. Nu merical examples with graphical illustration are presented.