Modified algorithm for generating high volume fraction sphere packings

Valera, Roberto Roselló; Morales, Irvin Pérez; Vanmaercke, Simon; Morfa, Carlos Recarey; Cortés, Lucía Argüelles; Casañas, Harold Díaz-Guzmán

doi:10.1007/s40571-015-0045-8

Cited by 23 publications

(16 citation statements)

References 14 publications

(47 reference statements)

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“…Para a construção do esqueleto sólido graúdo (ESG), foi adotada uma técnica de geração randômica de agregados. Para isso, utilizou-se um algoritmo apresentado por Pérez Morales et al (2011) e Valera et al (2015), chamado de "frente de avanço", que produz um empacotamento de partıćulas aleatório, respeitando parâmetros de entrada de0inidos pelo usuário. O código é abastecido com caracterıśticas necessárias ao empacotamento referentes às dimensões médias da partıćula padrão, porosidade e granulometria, seguindo a porção graúda do centro da Faixa C, apresentada na Figura 5.…”

Section: Geração De Par?culas Virtuais E Empacotamentounclassified

“…Já os construtivos geram partıćulas em sua posição 0inal, em contato com duas ou três outras partıćulas, no caso de pacotes densos em 2D e 3D, respectivamente. Valera et al (2015) apresentam um método de empacotamento construtivo de frente de avanço que compreende partıćulas geralmente circundando as outras, e determina todas as posições possıveis nas quais as novas partıculas podem ser localizadas. Xu et al (2010) desenvolveram um algoritmo de geração de agregados tridimensionais e de empacotamento aplicavel para modelagem de misturas asfálticas com grande presença de agregados graúdos.…”

Section: Introductionunclassified

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Proposta de um modelo geométrico e computacional para simulação de fluência estática em concretos asfálticos

2019

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Neste trabalho, os autores buscam representar, de forma simplificada, o esqueleto sólido correspondente aos agregados graúdos componentes de uma mistura asfáltica, a fim de incorporá-los na modelagem numérica do material via Método dos Elementos Finitos. Para isso, são analisadas a granulometria e a forma dos agregados graúdos e consideradas essas características na modelagem geométrica do problema, fazendo uso de modelos com empacotamentos randômicos gerados tridimensionalmente. Do ponto de vista constitutivo os agregados graúdos são considerados sólidos elásticos lineares e a Matriz de Agregados Finos (MAF) é considerado um material contínuo viscoelástico. A fim de validar o modelo, são comparados resultados experimentais de ensaios de fluência estática com ensaios virtuais simulados utilizando a técnica descrita, apresentando resultados bastante satisfatórios.

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Section: Geração De Par?culas Virtuais E Empacotamentounclassified

Section: Introductionunclassified

Proposta de um modelo geométrico e computacional para simulação de fluência estática em concretos asfálticos

2019

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“…The performance of the current implementation of Pseudocode 2, for the case of spherical particles, has already been explored in a previous work , and the main results are presented in this section.…”

Section: Algorithm Performancementioning

confidence: 99%

Contributions to the generalization of advancing front particle packing algorithms

Morales

Farias

Valera

et al. 2016

Numerical Meth Engineering

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SUMMARYThe generation of a set of particles with high initial volume fraction is a major problem in the context of discrete element simulations. Advancing front algorithms provide an effective means to generate dense packings when spherical particles are assumed. The objective of this paper is to extend an advancing front algorithm to a wider class of particles with generic size and shape. In order to get a dense packing, each new particle is placed in contact with other two (or three in 3D) particles of the advancing front. The contact problem is solved analytically using wrapping intersection technique. The results presented herein will be useful in the application of these algorithms to a wide variety of practical problems. Examples of geometric models for applications to biomechanics and cutting tools are presented.

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“…Spheres are one of the simplest shapes for generating a dense packing and obtaining a polyhedral partition from it. Once a sphere packing exists, there are two main approaches for calculating the polyhedral partition from it.…”

Section: Introductionmentioning

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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Modified algorithm for generating high volume fraction sphere packings

Cited by 23 publications

References 14 publications

Proposta de um modelo geométrico e computacional para simulação de fluência estática em concretos asfálticos

Proposta de um modelo geométrico e computacional para simulação de fluência estática em concretos asfálticos

Contributions to the generalization of advancing front particle packing algorithms

Modeling polycrystalline materials with elongated grains

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