Garboczi, E.
, Gao, P.
, Wu, J.
, Qiu, P.
, Li, J.
, Liu, H.
, Qian, Z.
, Wei, J.
and Yu, Q.
(2024),
Spherical harmonic reconstruction and preferred parameter research of 3D morphology of manufactured aggregate with different particle sizes, Powder Technology, [online], https://doi.org/10.1016/j.powtec.2024.119919, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=956824
(Accessed December 21, 2024)
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Spherical harmonic reconstruction and preferred parameter research of 3D morphology of manufactured aggregate with different particle sizes
Published
Author(s)
, Peng Gao, Juan Wu, Peiyun Qiu, Jingzhe Li, Hongjie Liu, Zhiwei Qian, Jiangziong Wei, Qijun Yu
Abstract
The spherical harmonic (SH) series have been widely used in recent years to reconstruct three-dimensional (3D) particle shape for reducing the memory requirements of morphological data and facilitating the calculation of various particle shape parameters. Yet, the optimal reconstruction parameters for the aggregates used in concrete with different morphologies and sizes have not been made clear. In this paper, manufactured aggregates with a size range of 1.18 mm to 2.36 mm (M118), 2.36 mm to 4.75 mm (M236), 4.75 mm to 9.50mm (M475), and natural aggregate with a particle size greater than 1.18 mm (S118) were selected, scanned using the digital light projection (DLP) technology, and reconstructed using SH series. The effect of two critical parameters, the maximum number of SH functions (N) used in the reconstruction series and the number of terms in the Gaussian quadrature (G) used for solving the SH expansion coefficients, on the reconstruction errors were studied. Further, the optimal reconstruction parameters for different particle sizes and morphologies were proposed, via a derived relationship between N and G. The results showed that the reconstruction errors decreased when the N and G values increased. The relationship between N and G was derived to be G ≥ 1.83N+3.23, which is probably caused by the issue of the algebraic precision of the Gaussian integral. Taking less than 3% as an acceptable level for a reconstruction error, the smallest N value for the M475, M236, M118 and S118 particles should be greater than 13, 11, 9 and 4, respectively.Citation
Powder Technology
Volume
443
Pub Type
Journals
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Keywords
Manufactured aggregate, 3D scanning, Spherical harmonics, Shape reconstruction, Optimal parameters, Gaussian quadrature.
Citation
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Created May 23, 2024, Updated July 23, 2024