Fourier–Voronoi-based generation of realistic samples for discrete modelling of granular materials

Mollon, Guilhem; Zhao, Jidong

doi:10.1007/s10035-012-0356-x

Cited by 198 publications

(99 citation statements)

References 42 publications

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“…It is worth to mention at this point that there are sophisticated models to describe some additional features of granular packings, such as the grain shape and the polidispersivity [6] [7] [8]. …”

Section: Phase Relationshipsmentioning

confidence: 99%

The theory of granular packings for fine soils

Yanqui

2017

EPJ Web Conf.

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Abstract. Fine soils are substances made of tiny particles, for which, besides their geometrical assemblage, the electrochemical forces are important. But the broad experience in Soil Mechanics has shown that, excluding the time, they behave like granular materials. By using the scanning electron microscopy, it has been shown by several authors that clay assemblages are structures of the second order, made of solid particles grouped in clusters. Applying the theory of packings of spheres in contact to the intra-cluster structure as well as to the entire mass of soil, a fundamental equation is obtained. The plastic limit is found to be a constant for a geological formation, because it is obtained by eliminating the capillary water and transforming the clay mass into a first order structure. The liquid limit is a inherently property of the second order, due to the development of clusters. Consequently, there is a linear relationship between the plasticity index and the liquid limit, with a slope of unity, as can be deduced from the abundant data reported by several authors around the world.

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Section: Phase Relationshipsmentioning

confidence: 99%

The theory of granular packings for fine soils

Yanqui

2017

EPJ Web Conf.

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“…For an objective assessment of the shape parameters of abrasive particles, it is essential to reproduce their contours as accurately as possible. Among the most effective ways of doing this is the reconstruction of the form by using a Fourier series; for example, according to [10], the shape of a particle may be reproduced by describing the shape in polar coordinates (r i , θ i ) by the equation:…”

Section: Development Ofmentioning

confidence: 99%

Development of a method and an apparatus for tribotechnical tests of materials under loose abrasive friction

Lutsak

Prysyazhnyuk

Burda

et al. 2016

EEJET

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“…The standard mathematical tool of Fourier series is a semi-analytical method that has received considerable attention. Fourier descriptors were initially introduced in Ehrlich and Weinberg (1970) and later applied to sand characterization (Meloy, 1977;Bowman et al, 2001;Garboczi, 2002;Mollon and Zhao, 2012, 2014.…”

Section: Introductionmentioning

confidence: 99%