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Implementation of Boundary Conditions in Discrete Element Modeling of Rock Cutting under Pressure

The article presents an algorithm to implement the confining pressure at a sample’s boundary when modeling a process of rock cutting with a single cutter under pressure. The dynamic process of cutting is modeled using a discrete element method in which the cutter geometry is presented by rigid walls and the rock sample is approximated as a set of separated spherical particles interacting in accord with a given law. The algorithm unifies two approaches to identify boundary spheres and setting forces that act on them. In the areas with particles of big radii, the plane-parallel beam method (shining lamp) is employed, while in the area of cutting that is made of smaller elements, the boundary is identified using the α-shape algorithm.