Modified collective rearrangement sphere-assembly algorithm for random packings of nonspherical particles: Towards engineering applications

Bertei, Antonio; Chueh, Chih‐Che; Pharoah, Jon G.; Nicolella, Cristiano

doi:10.1016/j.powtec.2013.11.034

Cited by 33 publications

(16 citation statements)

References 65 publications

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“…Packing of irregular shapes is usually performed by replacing them with assemblies of regular shapes (e.g. spheres, see Bertei et al (2014) ) or converting them to voxel representations, which significantly simplifies the collision/penetration detection (e.g. Byholm et al (2009) ) but requires more computational resources.…”

Section: Microstructure Generationmentioning

confidence: 99%

Comparison of full field and single pore approaches to homogenization of linearly elastic materials with pores of regular and irregular shapes

Drach

Tsukrov

Trofimov

2016

International Journal of Solids and Structures

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a b s t r a c tTwo approaches to predict the overall elastic properties of solids with regularly and irregularly shaped pores are compared. The first approach involves direct finite element simulations of periodic representative volume elements containing arrangements of pores. A simplified algorithm of collective rearrangement type is developed for generating microstructures with the desired density of randomly distributed pores of regular and irregular shapes. Homogeneity and isotropy (where appropriate) of the microstructures are confirmed by generating two-point statistics functions. The second approach utilizes MoriTanaka and Maxwell micromechanical models implemented via the cavity compliance contribution tensor (H-tensor) formalism. The effects of pore shape and matrix Poisson's ratio on compliance contribution parameters of different shapes are discussed. H-tensors of cubical, octahedral and tetrahedral pores for several values of matrix Poisson's ratio are published in explicit form for the first time. Good correspondence between the direct finite element simulations and micromechanical homogenization is observed for randomly oriented and parallel pores of the same shape, as well as mixtures of pores of various shapes up to 0.25 pore volume fractions.

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Section: Microstructure Generationmentioning

confidence: 99%

Comparison of full field and single pore approaches to homogenization of linearly elastic materials with pores of regular and irregular shapes

Drach

Tsukrov

Trofimov

2016

International Journal of Solids and Structures

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“…While many different types of stochastic microstructure models are available in the literature for two-phase materials, see e.g., Chiu et al (2013) and the references therein, less models are present for three-phase microstructures. Diverse packing algorithms have been developed to model both solid phases by a union of spherical (Cai et al, 2011;Kenney et al, 2009), cylindrical or ellipsoidal (Bertei et al, 2014) particles. Furthermore, using excursion sets of two Gaussian random fields allows to reproduce more complex shapes in the model, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Stochastic 3D Modeling of Three-Phase Microstructures for Predicting Transport Properties: A Case Study

Neumann¹,

Abdallah

Holzer³

et al. 2019

Transp Porous Med

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We compare two conceptually different stochastic microstructure models, i.e., a graph-based model and a pluri-Gaussian model, that have been introduced to model the transport properties of three-phase microstructures occurring, e.g., in solid oxide fuel cell electrodes. Besides comparing both models, we present new results regarding the relationship between model parameters and certain microstructure characteristics. In particular, an analytical expression is obtained for the expected length of triple phase boundary per unit volume in the pluri-Gaussian model. As a case study, we consider 3D image data which show a representative cutout of a solid oxide fuel cell anode obtained by FIB-SEM tomography. The two models are fitted to image data and compared in terms of morphological characteristics (like mean geodesic tortuosity and constrictivity) as well as in terms of effective transport properties. The Stokes flow in the pore phase and effective conductivities in the solid phases are computed numerically for realizations of the two models as well as for the 3D image data using Fourier methods. The local and effective physical responses of the model realizations are compared to those obtained from 3D image data. Finally, we assess the accuracy of the two methods to predict permeability as well as electronic and ionic conductivities of the anode.

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“…However, to have a better and more adequate representation of particulate microstructure, packing non-spherical particles must be considered. The approaches proposed to handle non-spherical shapes can be divided in three large groups [17]. Techniques in the first group use analytical equations for the shapes of the particles, e.g., ellipsoids, and the main modeling problem is to state analytically non-overlapping and containment conditions [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

An Optimized Covering Spheroids by Spheres

et al. 2020

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Covering spheroids (ellipsoids of revolution) by different spheres is studied. The research is motivated by packing non-spherical particles arising in natural sciences, e.g., in powder technologies. The concept of an ε -cover is introduced as an outer multi-spherical approximation of the spheroid with the proximity ε . A fast heuristic algorithm is proposed to construct an optimized ε -cover giving a reasonable balance between the value of the proximity parameter ε and the number of spheres used. Computational results are provided to demonstrate the efficiency of the approach.

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Modified collective rearrangement sphere-assembly algorithm for random packings of nonspherical particles: Towards engineering applications

Cited by 33 publications

References 65 publications

Comparison of full field and single pore approaches to homogenization of linearly elastic materials with pores of regular and irregular shapes

Comparison of full field and single pore approaches to homogenization of linearly elastic materials with pores of regular and irregular shapes

Stochastic 3D Modeling of Three-Phase Microstructures for Predicting Transport Properties: A Case Study

An Optimized Covering Spheroids by Spheres

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