Regarding the calculation method of the thickness distribution

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Daisuke

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Regarding the calculation method of the thickness distribution
« on: December 12, 2022, 01:55:15 AM »
Dear GeoDict-Team,

I would like to know how to calculate the thickness of coating material.

And I want to get the histogram of Thickness of coating [] × Volume fraction [%].


« Last Edit: December 12, 2022, 02:18:18 AM by Daisuke »

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Roman Buchheit

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Re: Regarding the calculation method of the thickness distribution
« Reply #1 on: January 20, 2023, 03:03:00 PM »
Dear Daisuke,

thank you for your question. We would propose the following workflow to estimate the shell thickness:
Assume you have core-shell particles of a base material (MaterialID 01) and a shell material (MaterialID 02). Then we propose the following workflow:
  • Reassign the base material to a liquid material. The example structure may now look as in the following picture.
    [ IMAGE NOT SHOWN - GUESTS CANNOT VIEW ATTACHED IMAGES ]
  • Use "Analyze -> Grain Find -> Estimate Grain Diamters" to estimate the coating thickness.
    • “Estimate Grain Diameters” uses internally the Euclidian Distance Map, a watershed algorithm is used to transfer the values of voxels with small components to neighboring voxels with large components
    • We have a technical paper available that describes the background of the “Estimate Grain Diameters” algorithm: https://www.math2market.de/fileadmin/Showroom/Technical-Reports/M2M-2021-01_TechReport_Math2Market.pdf
    • In the example, I used the options “Chosen Material IDs: 2” (coating’s material ID) and “Remove Grain Fragments at Domain Boundary” (if you leave this checked you will get low coating thickness at the domain boundaries in the result
    • [ IMAGE NOT SHOWN - GUESTS CANNOT VIEW ATTACHED IMAGES ]
Finally, you can interpretate the grain diameters as the shell thickness. It can be visualized by the volume field "Diameter".
[ IMAGE NOT SHOWN - GUESTS CANNOT VIEW ATTACHED IMAGES ]

Note: You could use a similar workflow with Analyse -> MatDict -> Material Characterization -> Solid Size Distribution (Granulometry) in the step 2 from above.
  • Please note the instruction for Granulometry in the MatDict UserGuide (page 20 and following).
  • Especially the bin size must be selected small enough depending on the expected minimum coating thicknesses.
  • Different visualization options are described, probably the best for your problem is the volume fraction visualization.
This approach will also fit spheres in the coating material, however corners are a differently treated as in the "Estimate Grain Diameter" approach from above, because smaller spheres are not merged with neighboring large spheres.

I hope my answer helped you.

Best regards, Roman
« Last Edit: January 27, 2023, 10:53:05 AM by Roman Buchheit »
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