Journal
COMPUTERS AND GEOTECHNICS
Volume 117, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.compgeo.2019.103234
Keywords
Spherical harmonic function; Surface reconstruction; Discontinuous deformation analysis; Geometric iteration; Variational inequality
Categories
Funding
- Ministry of Science and Technology of China [2018YFC0406806]
- Hong Kong Research Grants Council [N_HKUST621/18, 16204618, T22-603-15N]
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Based on micro X-ray computed tomography data, the spherical harmonic (SH) function can be employed to reconstruct the nature sand particle, referred to as SH-body. Thus, the sand particle micromorphology can be described by analytic functions. Thanks to these analytic functions, the closest points between SH-bodies for contact detection can be identified by using a second-order geometric iteration algorithm. Meanwhile, the equivalent variational inequality is formulated to determine the inter-particle contact forces for the three-dimensional cases. To capture the kinematics and kinetics of SH-bodies, this study deduces discontinuous deformation analysis (DDA) formula based on the principle of minimum potential energy. The study establishes a framework for simulating the dynamic behavior of SH-bodies, and the proposed methodology is validated through numerical examples.
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