Controlled Poisson Voronoi tessellation for virtual grain structure generation: a statistical evaluation

Zhang, Pan; Balint, Daniel S.; Lin, Jianguo

doi:10.1080/14786435.2011.613860

Cited by 41 publications

(23 citation statements)

References 42 publications

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“…The classical approach to generation of these type of microstructures is based on the Poisson-Voronoi algorithm [52]. Similar approaches based on division of computational domain by geometrical shapes are based on the LaguerreVoronoi tessellation [53], the Controlled Poisson-Voronoi tessellation [54] or the Weaire-Phelan algorithm [55]. However, grain shapes obtained by a Voronoi type tessellation are often far from shapes of grains observed under a microscope.…”

Section: Methods Of Synthetic Generation Of Microstructuresmentioning

confidence: 98%

Digital/virtual microstructures in application to metals engineering – A review

Madej

2017

Archives of Civil and Mechanical Engineering

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Section: Methods Of Synthetic Generation Of Microstructuresmentioning

confidence: 98%

Digital/virtual microstructures in application to metals engineering – A review

Madej

2017

Archives of Civil and Mechanical Engineering

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“…Zhang et al [33,47] used a controlled Poisson Voronoi tessellation model to generate polycrystalline microstructures. They introduced control parameters to control the regularity of the microstructure and ensure that the grain size distribution is statistically equivalent to real microstructures.…”

Section: Nygårds and Gudmundsonmentioning

confidence: 99%

Analysis of two-phase ceramic composites using micromechanical models

Alveen

McNamara

Carolan

et al. 2014

Computational Materials Science

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Micromechanical models of two-phase ceramic composites are created using a modified Voronoi tessellation approach. These representative Finite Volume (FV) microstructures are used to investigate the role of microstructure on fracture of advanced ceramics. An arbitrary crack propagation model using a cell-centred finite volume based method is implemented. In particular the effect of matrix content is examined. It is shown that the underlying microstructure significantly affects the local stress and strain distributions for a two-phase ceramic containing hard particles in a softer matrix. Simulation results indicate that an increase in the volume fraction of these hard grains leads to an increase in strength of the composite material. Furthermore, it is found that the homogeneity of the microstructure affects the overall strength.

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“…It is worth mentioning that by assigning the physical parameters, including the mean grain size D mean , a small grain size D L , a large grain size D R and the percentage P r of grains in that range, repeatedly generated VTs are statistically equivalent in terms of regularity and grain size distribution. The details of the CPVT's parameters and their relations are explained in .…”

Section: Vgrain System and Simulationsmentioning

confidence: 99%

Cohesive zone representation and junction partitioning for crystal plasticity analyses

Zhang

Karimpour

Balint

et al. 2012

Numerical Meth Engineering

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SUMMARY A novel scheme is presented for incorporating finite thickness cohesive interfaces in virtual grain structures for crystal plasticity finite element (CPFE) analyses of intergranular crack initiation and propagation. A Voronoi tessellation model is used to define the virtual grain structure, with automatically generated nonzero thickness cohesive zones (CZs) representing the grain boundaries and multiple junctions. An efficient grain boundary offsetting algorithm is presented, and issues related to automatically partitioning multiple junctions are discussed. Two feasible junction partitioning schemes are presented, the second of which has the advantage of partitioning junctions using uniform quadrilateral elements and naturally defining their normal and tangential directions. For the second scheme, a rule‐based method is presented that carries out the preliminary meshing of CZ junctions, including data representation, edge event processing, and cut and trim operations. A virtual grain structure modelling system, VGRAIN, is introduced to implement the proposed CZ junction partitioning method and directly generate meshed virtual grain structures with CZ grain boundaries for CPFE studies. To demonstrate the proposed junction partitioning and CZ representation schemes, two finite strain CPFE simulations are presented for plane strain uniaxial tension and three‐point bending, demonstrating large‐scale crack initiation and propagation under shear and opening modes. Copyright © 2012 John Wiley & Sons, Ltd.

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Controlled Poisson Voronoi tessellation for virtual grain structure generation: a statistical evaluation

Cited by 41 publications

References 42 publications

Digital/virtual microstructures in application to metals engineering – A review

Digital/virtual microstructures in application to metals engineering – A review

Analysis of two-phase ceramic composites using micromechanical models

Cohesive zone representation and junction partitioning for crystal plasticity analyses

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