Aggregate Packing Generator 2

Aggregate packing generator used for the simulation of aggregate in composites

Aggregate packing generator used for the simulation of aggregate in composites. It can be used especially for meso-scale analysis of concrete and asphalt composites .Example file is provided for the simulation of hollow cylinder "Example.m"

1-Classes=Particles_Generation2(x,y,z,x2,y2,z2,Classes_diameters,Classes_particle_ratios,m)

Generates aggregates according to defined volumetric ratios for each diameter.

2-function Ellipsoids=Particles_Distribution2(Classes,x,y,z,x2,y2,z2,er)

Generates aggregate with ellipsoids shapes

3-function Plot_Ellipsoids(Ellipsoids,x,y,z)

Plots ellipsoids

where the variables defined as:

input:

x,y,z: as vectors defining the specimen dimension. x and y are vectors defining a polygon section in xy plane and z=[zmin zmax] is boundaries of the extrusion of the polygon

x2,y2,z2: as vectors defining the hole dimension to be substracted from the shape of (x,y,z). x2 and y2 are vectors defining a polygon section in xy plane and z2=[zmin2 zmax2] is boundaries of the extrusion of the polygon

Classes_diameters: Particles classes diameters vector (descendingly)

Classes_particle_ratios: Particles volumetric ratio for each class (descendingly)

m: Particles shape distribution factor. m=1 for spheres and m>>1 for elongated ellipsoid shapes.

er: Spacing factor between particles to avoid contact [0.05-0.1].

Classes: A variable containing generated particles and not yet packed into specimen

Ellipsoids: (N*9) array. each column represent:

(:,1): radius of ellipsoids at direction 1

(:,2): radius of ellipsoids at direction 2

(:,3): radius of ellipsoids at direction 3

(:,4): x-cooridante of centroid

(:,5): y-coordinate of centroid

(:,6): z-coordinate of centroid

(:,7): Inclination angle 1

(:,8): Inclination angle 2

(:,9): Inclination angle 3

references

[1] Unger, Jörg F., and Stefan Eckardt. "Multiscale modeling of concrete." Archives of Computational Methods in Engineering18.3 (2011): 341.