Procedimiento de empaquetamiento de partículas genéricas para el método de elementos discretos

Abstract

There have been stated the mathematical foundations that allow to obtain packings of any type of particles, which will contribute to make simulations and modeling of physical problems through the Discrete Element Method. There is also described in detail the numerical method for solving the problem in 2D, for which is exposed in a completely general fashion a procedure for constructing a curve in outer contact with other two, being this formulation extended to 3D. There is analyzed in detail the case of the superquadric curves, due to its usefulness and degree of generality. In the formulation there are taken into account two ways of solution of the problem with an advancing fron algorithms: (1) making each particle be in contact with at least other two and (2) maing each particle be in contact with at least another one. These two alternatives can be used separately or at the same time during the generation of a packing.

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