Evolution of particle size distribution for carbonate sand under impact load

The carbonate sand could encounter impact loads causing particle breakage. To study the evolution of particle size distribution (PSD) in breakage state, a series of impact load tests were conducted on carbonate sands. From the results of uniformly graded samples, it is obtained that the fractal dime...

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Bibliographic Details
Published in:Powder technology 2020-10, Vol.376, p.549-564
Main Authors: Lin, Lan, Li, Sa, Sun, Liqiang, Liu, XiaoLong, Chen, WenWei
Format: Article
Language:English
Subjects:
Carbonate sand
Diameters
Evolution
Fractal geometry
Fractal theory
Fractals
Impact load
Impact loads
Load distribution
Load tests
Particle breakage
Particle size
Particle size distribution
Sand
Size distribution
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Summary:The carbonate sand could encounter impact loads causing particle breakage. To study the evolution of particle size distribution (PSD) in breakage state, a series of impact load tests were conducted on carbonate sands. From the results of uniformly graded samples, it is obtained that the fractal dimension and active breakage probability, which is equal to the mass percentage of new particle groups generated from crushing, are the functions of input energy as well as initial mean diameter. An “evolution function” of PSD in breakage state for the uniformly graded sample is established according to the fractal theory, with fractal dimension and active breakage probability as parameters. Based on the evolution functions of multiple uniform graded groups, an “assembly matrix” is proposed and used to describe the PSD evolution for non-uniformly graded sample in breakage state. The test results of non-uniformly graded samples show that this method is feasible. An “evolution function “of particle size distribution (PSD) for uniformly graded carbonate sand under impact load is established from fractal theory, with active breakage probability and fractal dimension as parameters. Based on multiple sets of evolution functions, an “assembly matrix “is proposed to describe the PSD evolution for non-uniformly graded sample. [Display omitted] •Proposing the concept of “active breakage probability” pB.•pB and fractal dimension D relate to input energy and initial mean diameter.•Establishing PSD evolution function for uniformly graded sample with pB, D.•Calculating PSD of non-uniformly graded sample from that of uniformly graded sample.
ISSN:0032-5910
1873-328X
DOI:10.1016/j.powtec.2020.08.046