How to achieve a high packing density of 80% with spheres in GeoDict

The tutorial “How to Achieve a High Packing Density of 80% with Spheres in GeoDict” demonstrates how to create a digital sphere packing with a packing density of approximately 80% using GrainGeo. Three sphere sizes with diameters of 100 µm, 50 µm, and 10 µm are combined so that the smaller spheres fill the gaps between the larger ones, enabling a particularly high packing density.

Using Pack Analytic Spheres, parameters such as packing density, domain size, sphere sizes, volume fractions, and material IDs are defined before generating the structure. The resulting packing is then analyzed in the Result Viewer, including the achieved packing density, sphere contacts, and convergence behavior. Finally, the structure is examined in 2D and 3D to illustrate how the different sphere sizes contribute to the final packing density. The tutorial is suitable for GeoDict users interested in generating and analyzing dense particle and powder packings.

• Create a high-density sphere packing: Learn how to generate a sphere packing with about 80% packing density using GrainGeo – Pack Analytic Spheres.
• Set the packing target: Define a packing density of 0.8 and the domain size.
• Define sphere sizes: Use three sphere types with diameters of 100 µm, 50 µm, and 10 µm.
• Set volume fractions: Assign probabilities of 0.5, 0.3, and 0.2 to the three sphere types.
• Assign material IDs: Give each sphere type a separate material ID for easier identification.
• Choose the sphere number: Use the solver suggestion or reduce the number of spheres for faster computation.
• Generate the packing: Start the packing process and monitor the achieved packing density.
• Analyze the results: Review packing density, sphere contacts, and convergence in the Result Viewer.
• Inspect the structure: Analyze the packing in 2D and 3D and observe how small spheres fill the gaps between larger ones.
• Practical application: Create and evaluate dense particle or powder packings in GeoDict.