3DRSP: Matlab-based random sphere packing code in three dimensions

Abstract

A svert Matlabsvert -based computational procedure is proposed to fill a given volume with spheres whose radii are randomly picked from any specified probability distribution supported by svert Matlabsvert . The general program sequence and examples of filling a unit cube, a parallelepiped, and a concave domain between two hemispherical surfaces, with spheres whose radii are drawn from the Weibull and Gamma distributions, are presented. A sample application to the numerical modeling of bond formation between particles heated by a laser beam in powder bed 3D printing process is considered.

Keywords

• Random sphere packing
• Three-dimensional domain
• Probability distribution
• Matlab