2022/03/09 by Travis J. Black, Black, Travis J., Alexei F. Cheviakov +1
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Additive Manufacturing and 3D Printing Technologies #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Injection Molding Process and Properties #Numerical Analysis (math.NA) #and Science (cs.CE) #cs.CE #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.2204.01503
arxiv created 2022/03/09 · openalex publication_date 2022/03/09 · arxiv updated 2022/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A Matlab-based computational procedure is proposed to fill a given volume with spheres whose radii are randomly picked from any specified probability distribution supported by \verb|Matlab|. 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.