Dense packing of general-shaped particles using a minimization technique

Morales, Irvin Pérez; Valera, Roberto Roselló; Morfa, Carlos Recarey; Farias, Márcio Muniz de

doi:10.1007/s40571-016-0103-x

Cited by 15 publications

(6 citation statements)

References 39 publications

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“…The potential minimization method [30] uses an optimization approach to solve the problem of placing a particle in contact with others. As far as we know, this method has never been applied by other authors to obtain packings of particles.…”

Section: -Potential Minimization Methodsmentioning

confidence: 99%

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Advances in particle packing algorithms for generating the medium in the Discrete Element Method

Recarey

Pérez

Roselló

et al. 2019

Computer Methods in Applied Mechanics and Engineering

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Several theoretical contributions in order to establish a particle packing methodology are presented. In this respect, a generic formulation of a new method for packing particles based on a constructive advancing front method, which uses Monte Carlo techniques for the generation of particle dimensions, is also shown. The method can be used to obtain virtual dense packings of particles with several geometrical shapes. It employs continuous, discrete and empirical statistical distributions in order to generate the dimensions of particles. The packing algorithm is very flexible and allows alternatives for: 1-The direction of the advancing front (inwards or outwards), 2-The selection of the local advancing front, 3-The method for placing a mobile particle in contact with others and 4-The overlap checks. The algorithm also allows obtaining highly porous media when it is slightly modified. Practical applications of the formulations are presented in the end of this paper.

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Section: -Potential Minimization Methodsmentioning

confidence: 99%

“…From now on, the hypothesis that the number of solutions always behaves according to the last three cases for convex particles, will be called Conjecture 1. [29,30]. Such techniques can be classified into exact methods and approximate methods.…”

Section: -Construction Of a Particle In Outer Contact With Othersmentioning

confidence: 99%

Advances in particle packing algorithms for generating the medium in the Discrete Element Method

Recarey

Pérez

Roselló

et al. 2019

Computer Methods in Applied Mechanics and Engineering

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“…The algorithm chosen to generate the packings in this research is an advancing front algorithm that allows to generate high density packings of bodies having an arbitrary distribution of shape and size, in reasonable times . Such algorithm is a good cost‐effective alternative against other methods like gravity deposition, lattice methods, or methods to solve the bin‐packing problem.…”

Section: Modeling Polycrystalline Materialsmentioning

confidence: 99%

Modeling polycrystalline materials with elongated grains

Pérez

Farias

Castro

et al. 2018

Numerical Meth Engineering

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A novel algorithm to reproduce the arrangement of grains in polycrystalline materials was recently published by the authors. In this original approach, a dense package of circles (or spheres) with the same distribution as the grains is generated to produce a set of Voronoi cells that are later modified to Laguerre cells representing the original structure. This algorithm was successfully applied to materials with somewhat equidimensional grains; however, it fails for long-shaped grains. In this paper, modifications are provided in order to overcome these drawbacks. This is accomplished by moving each vertex of the Voronoi cells in such a way that the vertex should be equidistant from the particles with respect to the Euclidean distance. The algorithm is applied to packages of ellipses and spherocylinders in 2D. An example for a package of spheres is also provided to illustrate the application for a simple 3D case. The adherence between the generated packages and the corresponding tessellations is verified by means of the Jaccard coefficient (J). Several packages are generated randomly and the distribution of J coefficients is investigated. The obtained values satisfy the theoretical restraints and the quality of the proposed algorithm is statistically validated.

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“…In order to obtain a more realistic aggregate shape, multi-directional photography or CT scanning of the aggregate is often used, 39,40 and then image processing technology is used to identify and analyze the aggregate in the image, obtain the key dimension parameters of the aggregate, establish the aggregate model library, and finally generate and place the aggregate contour according to the needs. 41,42 The research on the properties of concrete under real aggregate modeling has become a research focus, so it is necessary to establish a concrete model with real aggregate form to study the diffusion of sulfate in concrete.…”

Section: Introductionmentioning

confidence: 99%

Diffusion model of sulfate ions in concrete based on pore change of cement mortar and its application in mesoscopic numerical simulation

Zhuang

Liu

Zhou

et al. 2022

Structural Concrete

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Sulfate attack is a major cause of the deterioration of concrete structures.Accurately predicting the temporal and spatial distribution of sulfate ions in concrete is the basis for revealing the mechanism of concrete performance deterioration caused by sulfate attack. In this article, based on the pore change caused by sulfate damage to cement mortar, a diffusion model of sulfate ions in cement mortar considering changes in surface concentration was established. Furthermore, a two-dimensional mesoscopic concrete model composed of cement mortar, coarse aggregate, the intrafacial transition zone (ITZ) and macroscopic defects, which can reflect the real aggregate shape, was constructed to study the diffusion of sulfate ions in concrete. The correctness of the model is verified with existing experimental data, and the model is further studied. The results show the following. (1) The average value of the calculation results of multiple sets of models can be used to eliminate the influence of the randomness of the construction of the two-dimensional mesoscopic concrete model. ( 2) With increasing stone content, the corrosion depth increases, but the average concentration at a given location decreases. (3) With increasing sulfate solution concentration and water-cement ratio, the sulfate ion concentration and the corrosion depth in concrete increase.

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Dense packing of general-shaped particles using a minimization technique

Cited by 15 publications

References 39 publications

Advances in particle packing algorithms for generating the medium in the Discrete Element Method

Advances in particle packing algorithms for generating the medium in the Discrete Element Method

Modeling polycrystalline materials with elongated grains

Diffusion model of sulfate ions in concrete based on pore change of cement mortar and its application in mesoscopic numerical simulation

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