Garboczi, E.
(2009),
Quantifying Particle Shape in 3-D: Experimental and Mathematical Considerations, Further Advances in X-ray Tomography for Geomaterials, New Orleans, LA, US, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=903617
(Accessed October 7, 2025)
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Quantifying Particle Shape in 3-D: Experimental and Mathematical Considerations
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Author(s)
Abstract
Quantifying the shape of particles in 3-D is a general problem and is important in many physical situations in particle technology. In the field of concrete, the 3-D shape of particles like sand, gravel, and cement is of great interest for various applications including suspension rheology, mechanical properties of particulate-based composites, and realistic microstructure models. When particles are classified as star-shaped, a weaker condition than convexity, a combination of X-ray computed tomography (CT) and spherical harmonic series analysis can completely, within the original X-ray CT resolution, quantitatively describe the 3-D shape of real particles. Since this analysis results in an analytical function for the surface of the particle, one can perform almost any kind of volume or surface integral and so compute many geometrical properties of the particle.Proceedings Title
Further Advances in X-ray Tomography for Geomaterials
Conference Dates
March 1-3, 2010
Conference Location
New Orleans, LA, US
Pub Type
Conferences
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Keywords
spherical harmonic, particle, shape, tomography, cement, sand, gravel
Citation
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Created December 23, 2009, Updated July 25, 2024