Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: Application to aggregates used in concrete

By Edward J. Garboczi. 2002

456 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/888e7a9800eb4566669cf125a50bb1e584b61bcd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Jianfeng Wang
2. Bo Zhou
3. Huabin Wang
4. Jeffrey Bullard
5. S. Moftah
6. Peter Wriggers
7. Wenxiang Xu
8. Dejian Shen

In Mechanics of Materials

1. S. Moftah
2. Bo Zhou
3. Jianfeng Wang
4. Jeffrey Bullard
5. Peter Wriggers
6. Huabin Wang
7. Wenxiang Xu
8. Huisu Chen

Citations in the corpus

• Mesoscale modeling of concrete: Geometry and numerics (2006, methodology): “A more sophisticated regression model to describe detected aggregate shapes is based on spherical harmonics [2].”
• Defining shape measures for 3D star-shaped particles: Sphericity, roundness, and dimensions (2013, methodology): “[19] provides the differential geometric relations that are required to compute the principal directions and curvatures at a point using the SH representation.”
• Random generation of natural sand assembly using micro x-ray tomography and spherical harmonics (2015, methodology): “Earlier applications of SH analysis in engineering fields were successfully used to reconstruct the morphology of star-like concrete aggregates (Garboczi, 2002) and convex rock fragments (Saadatfar et al., 2005).”
• Three-dimensional sphericity, roundness and fractal dimension of sand particles (2018, methodology): “With regard to SH analysis, many studies have focused on the mathematical calculations of its geometrical properties, including volume, surface area, inertia of the moment and surface curvature (Garboczi, 2002; Bullard & Garboczi, 2013; Zhou et al., 2015).”
• Aggregate shape effect on the diffusivity of mortar (2014, methodology): “According to the shape of particles, these models can generally be categorized as: packing models of spherical particles [1–10], packing models of 2D elliptical [11,12] or 3D ellipsoidal particles [13–17], packing models of 2D convex polygonal [18] or 3D convex polyhedral particles [19–22], packing ”