Multi-scale morphological descriptors from the fractal analysis of particle contour

Guida, Giulia; Viggiani, Giulia M. B.; Casini, Francesca

doi:10.1007/s11440-019-00772-3

Cited by 31 publications

(8 citation statements)

References 51 publications

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“…Other common singlelength geometrical parameters are also included to describe the morphology of irregular shape, as shown in Table . 1. In Guida et al (2020), three non-dimensional shape parameters are introduced over the range of experimentally accessible scales: (i) aggregate shape at the macro-scale, (ii) aggregate roundness at the mesoscale, and (iii) aggregate texture (surface roughness) at the micro-scale. The overall form carries information on the proportions of the particle, i.e.…”

Section: Correlating Shape Indices To Effective Diffusivitymentioning

confidence: 99%

A Numerical Investigation on Effective Diffusion in Cement-Based Composites: The Role of Aggregate Shape

Liu

Wei²,

Zhang³

et al. 2022

Transp Porous Med

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Diffusive behaviour is the fundamental mechanism of ionic-induced corrosion in cement–granular composites. Aggregate characteristics, including shape anisotropy, spatial orientation, and size distribution, significantly influence effective diffusivity. However, influences of all such types of aggregate irregularity have rarely been systematically quantified, and most of the representative aggregate shapes in numerical simulations are convex than realistic concave. In this study, we apply the finite element method (FEM) to investigate diffusion behaviour of 2D cement-based composites. Realistic multi-scale aggregate shapes, characterised by fractal dimension (Fd) and relative roughness (Rr), are generated to highlight the influence of aggregate morphology on the effective diffusivity. The spatial distribution is evaluated by the disorder index. From numerical results, samples with a larger disorder index, indicating a broader throat size distribution, show smaller effective diffusivities. Meanwhile, aggregate shape irregularity causes much smaller effective diffusivities, highlighting the necessity of the realistic concave particle shapes in numerical simulations. Sensitivity studies show Fd and Rr are more related to the effective diffusivity than other single-scale classical shape parameters. At last, a model with only these two shape parameters is proposed to predict effective diffusivity. This work further improves the understanding of the role of aggregate morphology on the effective diffusivity, towards applications in ionic-induced corrosion in two-phase composites. Highlights Realistic grain shapes in composites are generated using Fourier transformation. Effects of aggregate characteristics on the effective diffusivity are investigated. Fd and Rr are key geometrical parameters influencing the effective diffusivity.

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Section: Correlating Shape Indices To Effective Diffusivitymentioning

confidence: 99%

A Numerical Investigation on Effective Diffusion in Cement-Based Composites: The Role of Aggregate Shape

Liu

Wei²,

Zhang³

et al. 2022

Transp Porous Med

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“…First, triangular mesh is the most common way to describe three-dimensional surfaces. Regardless of how the particle shape is obtained, either from X-ray CT [31,46], scanning electron microscope (SEM) [47], 3D laser ranging [48], the Structure-from-Motion technique [49], or computer-aided design (CAD), mostly the digitalized particles are in the form of triangular surface meshes. By directly utilizing the triangular meshes, additional algorithms for describing particle shapes, e.g.…”

Section: Particle Surface Discretizationmentioning

confidence: 99%

A surface mesh represented discrete element method (SMR-DEM) for particles of arbitrary shape

Zhan

Peng²,

Zhang

et al. 2021

Powder Technology

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A surface mesh represented discrete element method (SMR-DEM) for granular systems with arbitrarily shaped particles is presented. The particle surfaces are approximated using contact nodes obtained from surface mesh. A hybrid contact method which combines the benefits of the sphere-to-sphere and shpere-to-surface approaches is proposed for contact detection and force computation. The simple formulation and implementation render SMR-DEM suitable for threedimensional simulations. Furthermore, GPU parallelization is employed to achieve higher efficiency. Several numerical examples are presented to show the performance of SMR-DEM. It is found that on the particle level the method is accurate and convergent, while on the system level SMR-DEM can effectively model particle assemblies of various regular and complex irregular shapes.

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“…This study considers the particle shape to compare the similarity between the natural and 3D printed particles. A particle shape is typically quantified by roundness and sphericity, both of which can be described in a number of ways [7,16,31]. The shape parameters are usually estimated from 2D projection of a particle [7].…”

Section: Natural and 3d Printed Sand Particlesmentioning

confidence: 99%

Triaxial compression behavior of 3D printed and natural sands

Ahmed

Martínez

2021

Granular Matter

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Different particle properties, such as shape, size, surface roughness, and constituent material stiffness, affect the mechanical behavior of coarse-grained soils. Systematic investigation of the individual effects of these properties requires careful control over other properties, which is a pervasive challenge in investigations with natural soils. The rapid advance of 3D printing technology provides the ability to produce analog particles with independent control over particle size and shape. This study examines the triaxial compression behavior of specimens of 3D printed sand particles and compares it to that of natural sand specimens. Drained and undrained isotropically-consolidated triaxial compression tests were performed on specimens composed of angular and rounded 3D printed and natural sands. The test results indicate that the 3D printed sands exhibit stress-dilatancy behavior that follows well-established flow rules, the angular 3D printed sand mobilizes greater critical state friction angle than that of rounded 3D printed sand, and analogous drained and undrained stress paths can be followed by 3D printed and natural sands with similar initial void ratios if the cell pressure is scaled. The results suggest that some of the fundamental behaviors of soils can be captured with 3D printed soils, and that the interpretation of their mechanical response can be captured with the critical state soil mechanics framework. However, important differences in response arise from the 3D printing process and the smaller stiffness of the printed polymeric material. Graphic abstract Artificial sand analogs were 3D printed from X-ray CT scans of sub-rounded and sub-angular natural sands. Triaxial compression tests were performed to characterize the strength and dilatancy behavior as well as critical staste parameters of the 3D printed sands and to compare it to that exhibited by the natural sands.

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Multi-scale morphological descriptors from the fractal analysis of particle contour

Cited by 31 publications

References 51 publications

A Numerical Investigation on Effective Diffusion in Cement-Based Composites: The Role of Aggregate Shape

A Numerical Investigation on Effective Diffusion in Cement-Based Composites: The Role of Aggregate Shape

A surface mesh represented discrete element method (SMR-DEM) for particles of arbitrary shape

Triaxial compression behavior of 3D printed and natural sands

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