Aggregate Packing Generator

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 files are provided for the simulation of aggregate in notched beam "Example_Beam.m" and cylinder "Example_Cylinder.m"

1-function Classes=Particles_Generation(x,y,z,Classes_diameters,Alpha,m,Particle_ratio)
Generates aggregates according to Fuller's curve.
2-function Plot_Sieve(Classes,x,y,z,Classes_diameters,Alpha,Particle_ratio)
Plots generated sieve curve.
3-function Ellipsoids=Particles_Distribution(Classes,x,y,z,er)
Generates aggregate with ellipsoids shapes
4-function Plot_Ellipsoids(Ellipsoids,x,y,z)
Plots ellipsoids
5-function Ellipses=Ellipsoids_to_Ellipses(Ellipsoids,dist,r_min)
Converts ellipsoids to ellipses. used for 2D analysis
6-function Plot_Ellipses(Ellipses,x,z)
Plots ellipses

where the variables defined as:

input:
x,y,z: as vectors defining the specimen dimension. x and z are vectors defining a polygon section in xz plane and y=[ymin ymax] is boundaries of the extrusion of the polygon
Classes_diameters: Particles classes diameters vector (descendingly)
Alpha: Fuller's curve exponent [0.45-0.5].
m: Particles shape distribution factor. m=1 for spheres and m>>1 for elongated ellipsoid shapes.
Particle_ratio: Particles ratio of the total volume including the smaller particles not simulated in the analysis. ranges [0.6-0.9] for portland cement concrete and about 0.9 for asphalt concrete.
er: Spacing factor between particles to avoid contact [0.05-0.1].
dist: Cutting distance for converting ellipsoids to ellipses.
r_min: Minimum ellipse radius involved when ellipsoids are converted to ellipses.

Output:
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

Ellipses: (N*5) array. each column represent:
(:,1): radius of ellipses at direction 1
(:,2): radius of ellipses at direction 2
(:,3): x-cooridante of centroid
(:,4): y-coordinate of centroid
(:,5): Inclination angle

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