Abstract
Contact curvature plays a pivotal role in the Young’s modulus determination and mechanical response of a particle. This paper presents the sensitivity analysis of a particle morphology to contact curvature and its influence on the Young’s modulus determination during the elastic deformation of a particle. X-ray computed micro-tomography (μCT) was conducted to obtain the prototype of a single particle. The digital information of the scanned particle, including 2D slices and 3D rendering was processed and the variation of contact curvature of the particle was examined using the circular (spherical at 3D) and polynomial fitting methods. The fitting sections of the particle are taken into account. The effect of contact curvature on Young’s modulus determination was investigated and it was found that Young’s modulus changed substantially from global fitting to local fitting. Young’s modulus is highly related to the surface roundness, which exerts a significant influence on the determination of Young’s modulus.
Highlights
Contact curvature is a critical parameter in particle mechanical response based on Hertz’s contact theory
Few literatures are available to demonstrate the effect of contact curvature on the determination of elastic modulus even though the importance of particle shape has been recognized by the aforementioned studies
In light of the aforementioned drawbacks, this paper presents the comparative analysis to measure the contact curvature using circular and polynomial fitting methods in 2D pixel-based and 3D voxel-based approaches
Summary
Contact curvature is a critical parameter in particle mechanical response based on Hertz’s contact theory. The significance of particle shape in DEM has been studied by McDowell et al [2] and Gao et al [3] This is because non-spherical particles are more diverse than spherical particles in nature and industries, which results in additional intricate features such as complicated contact force and secondary motion [4]. A study of Young’s modulus in the range 0.0001–0.01 of the real value was carried out in the mixing of particles in a rotary drum [5] It showed that Young’s modulus has a significant effect on the motion of individual particles during collision. Few literatures are available to demonstrate the effect of contact curvature on the determination of elastic modulus even though the importance of particle shape has been recognized by the aforementioned studies. The fitting section in the particle profile is varied to examine its influence on principal curvature and Young’s modulus measurement
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