A new method for the generation of arbitrarily shaped 3D random polycrystalline domains

Falco, S.; Siegkas, Petros; Barbieri, Ettore; Petrinić, Nik

doi:10.1007/s00466-014-1068-3

Cited by 22 publications

(20 citation statements)

References 49 publications

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“…The form of the so-generated grains can be further manipulated with the introduction of a 'stretching' transformation of the cells, of the type presented in [30]. The transformation consists of translating the vertices of the cells proportionally to the vector H k , stretching the grain along the arbitrary direction and shrinking it in the perpendicular directions ( and ) to keep the overall volume constant.…”

Section: Grain Generationmentioning

confidence: 99%

“…Despite that the polydispersity and angularity of the particles have been proven to lower the confinement effect [48], the local variance induced by the boundaries is excluded by adopting fictitious concentric cubic boxes to evaluate the void ratio. Therefore, void ratio and volume fraction are calculated considering only the portion of the grains inside the fictitious box, using the cropping method developed by the authors [30]. Examples of the fictitious boxes are presented in Figure 7.…”

Section: Geometrical Packing Approachmentioning

confidence: 99%

“…To generate models of particle-reinforced materials and foams, we need that the matrix domain surrounding the packed grains be defined. The cropping method developed by the authors [30] is adapted to the discontinuous distributions of particles to shape the matrix as the negative of the particle distribution. Figure 9 shows a representative geometry of a granular reinforced material for an arbitrarily defined volume fraction (v P ).…”

Section: Definition Of the Matrix Materials And Meshing Proceduresmentioning

confidence: 99%

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A method for the generation of 3D representative models of granular based materials

Falco

Cola

Petrinić

2017

Int. J. Numer. Meth. Engng

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The morphology of many naturally occurring and man-made materials at different length scales can be modelled using the packing of correspondingly shaped and sized particles. The mechanical behaviour of this vast category of materials -which includes granular media, particle reinforced materials and foams -depends strongly upon the shape and size distribution of the particles. This paper presents a method for the generation and packing of arbitrarily shaped polyhedral particles. The algorithm for the generation of the particles is based on the Voronoi tessellation technique, whilst the packing is performed using a geometrical approach, which guarantees the non-overlapping of the bodies without relying upon any, otherwise typically computationally expensive, contact detection and interaction algorithm. The introduction of three geometrical parameters allows to control the shape, size and spacial density of the polyhedral particles, which are used to build numerical models representative of densely packed granular assemblies, granular reinforced materials and closed-cell foams. 339properties of the structure. The same can be said about the modelling of pores in closed-cell foams, as demonstrated by [8].Several investigations [9][10][11] focused on the definition of numerical parameters to describe the shape (i.e. the external morphology) of single grains. Wadell [9] identified three independent properties of the shape to describe the morphology of the particles: form, roundness and surface texture. Each of those properties can be expressed by several parameters, as reported in the comprehensive review by Barrett [10]. These three properties can be catalogued according to the different scales with respect to particle size. The form is the first-order property that defines the proportions of the grain; the roundness is the second-order property that indicates the angularity of the corners; finally, the surface texture (third-order property) describes the roughness of the surfaces.Although the challenge of defining representative particle size distributions has been successfully addressed by numerous authors [12,13], the correct representation of the shape of the particles still presents some challenges.The use of experimental techniques to reproduce the topology of the structure can provide realistic models. Specifically, 3D scanner techniques (e.g. X-ray and neutron imaging), combined with surface mesh reconstruction software, can be used to generate accurate models of loose grains [14,15], whilst destructive techniques (e.g. serial sectioning) are usually adopted for particle reinforced materials and foams [16]. These methods require fairly complex post-processing that might lead to non-unique topologies, and are generally computationally expensive, which limits their application to quite small domains.The introduction of numerical approaches for the generation of representative geometries allows to overcome the limitations offered by the experimental methods described.Most of the approaches developed during the pas...

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Section: Grain Generationmentioning

confidence: 99%

Section: Geometrical Packing Approachmentioning

confidence: 99%

Section: Definition Of the Matrix Materials And Meshing Proceduresmentioning

confidence: 99%

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A method for the generation of 3D representative models of granular based materials

Falco

Cola

Petrinić

2017

Int. J. Numer. Meth. Engng

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“…The methods for generation of the analytical random morphologies of microstructure have been proposed in published studies [5,12,38,168]. Among these methods, Voronoi tessellation is the most popular one to represent the polycrystalline microstructure due to the definition of grains with straight edges and curved [11,133,137,193] faces or planar faces [5,168].…”

Section: Numerical Skillsmentioning

confidence: 99%

“…Among these methods, Voronoi tessellation is the most popular one to represent the polycrystalline microstructure due to the definition of grains with straight edges and curved [11,133,137,193] faces or planar faces [5,168]. The analytical random generated Voronoi tessellation representative microstructure is widely accepted as a first order approximation of polycrystalline microstructures to investigate the behavior of materials such as metal and ceramics at the microscopic level [12,38,82,137,193]. And the variability of Voronoi algorithms, such as Hardcore-Voronoi, Poisson-Voronoi, centroidal Voronoi and Laguerre-Voronoi tessellation, promotes its application [9,82,83,125,130,154].…”

Section: Numerical Skillsmentioning

confidence: 99%

On the characterization of mechanical properties of alumina ceramics for high speed application

Wang¹

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Generation of Polycrystalline Microstructures for the Discretization on‐The‐Fly Of Fe Models For Multi‐Scale Simulations

Falco

Bombace

Petrinić

2019

Proceeding of the 42nd International Conference on Advanced Ceramics and Composites

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A new method for the generation of arbitrarily shaped 3D random polycrystalline domains

Cited by 22 publications

References 49 publications

A method for the generation of 3D representative models of granular based materials

A method for the generation of 3D representative models of granular based materials

On the characterization of mechanical properties of alumina ceramics for high speed application

Generation of Polycrystalline Microstructures for the Discretization on‐The‐Fly Of Fe Models For Multi‐Scale Simulations

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