A Study of Contact Detection between Noncircular Particles in Discrete Element Method

One of the key points modeling noncircular particles in discrete element method is contact detection particles. In this study, a general algorithm two-dimensional with analytic shape functions provided. The strictly convex function, such as ellipses and superellipses, solved by Newton–Raphson method, grid provided to deal heart-shaped can be generalized into particle system, which function not convex. accuracy stability are verified series tests. For collision pair an aspect ratio α = id="M2"> a / b 1000, efficiency worse than method. random packing under gravity, no residual kinetic energy observed, force that acts on bottom equal is, system reaches mechanical equilibrium state. After equilibrium, process hopper discharge also simulated. present suitable for arbitrarily shaped cases. addition applied other systems long given.