I am working on a project to optimize powder packing density for additive manufacturing. Trying to mix three sizes (fine, medium, and course) to maximize the density of the mixture. If you can suggest article(s) or approach that would be great. Thank you
You may wish to consult the attached entry of Wikipedia on the packing problems. On the subject of sphere packings, you may wish to consult the following celebrated book:
JH Conway, and NJA Sloane, Sphere Packings, Lattices and Groups, 3rd edition (Springer, New York, 1999).
https://en.wikipedia.org/wiki/Packing_problems
I have several Particle Packing models, but looking for the best model. Particle packing models are based on the concept that voids between large particles would be filled by smaller particles thus reducing voids or increasing packing density
You are welcome Taher.
Certainly, packing problem is an optimization one. Since you have particles of three sizes, you need to construct a convex function as measure involving the optimization measures corresponding to each size in proportion to their ratio in the mix and optimize it.
I'm actually studying the exact question: which Power Size Distribution (PSD) has the optimal Packing Density. I'm working with D10, D50, D90 values which are cumulative percentages (10%, 50%, 90%) of powder size diameters. So far we developed 2-D packing simulation, using a cloud computing server that can calculate different PSD scenarios and calculate randomly packed 2-D disks. We're learning & working on 3-D random packing simulation as we learn more about the powder characteristics and which parameters to choose for optimal packing density.. Any suggestions on how to go about this? I'm also looking for any prior research done on this subject.
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