Advanced computer simulation of polycrystalline microstructure

Mahadevan, Sankaran; Zhao, Yaowu

doi:10.1016/s0045-7825(02)00260-8

Cited by 12 publications

(6 citation statements)

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“…Since polycrystalline materials are originally formed by the nucleation and growth of grains, a VT is a good choice as it naturally describes a crystal aggregate growth process. Like a solidification process, grains in the Voronoi tessellation are spatially distributed and completely determined by initial nuclei/seeds and individual velocities within a given seed pattern, morphological features such as curved boundaries can be produced for particular simulation requirements [32,33], whilst, having defined a grain growth scheme, the grain size distribution properties of a VT is essentially decided by its seed lattice.…”

Section: Introductionmentioning

confidence: 99%

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

Zhang¹,

Balint²,

Lin³

2011

Philosophical Magazine

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Section: Introductionmentioning

confidence: 99%

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

Zhang¹,

Balint²,

Lin³

2011

Philosophical Magazine

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“…The geometry of polycrystalline materials may be built on the basis of microscopic images of the structures observed experimentally. In the alternative approach, specialized algorithms may be used for this purpose, such as for example Voronoi tessellations [7][8][9][10][11][12]. Geometry obtained by this method, in contrast with symmetrical/periodical geometries [13][14][15][16][17], quite precisely represents polycrystalline structures appearing in metals and ceramics.…”

Section: Modelling Of Diffusion In the Polycrystalline Materialsmentioning

confidence: 99%

Diffusion in Condensed Matter by Finite Element Method

Dobosz

Kurzydłowski

2017

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In this Chapter, the finite element simulations of diffusion processes in homogeneous and polycrystalline materials are presented as well as some analytical solutions and implementations of basic diffusion relations. For the homogeneous materials the presented examples show the changes in time of the concentration of diffusing matter within the semi-infinite system and simulation of anisotropic nature of diffusion processes.The polycrystalline materials have been analysed for three cases, namely influence of average grain size and the homogeneity of grain size on the macroscopic diffusivity as well as simulation of the diffusion strains. The homogenisation technique has been used to estimate the diffusion property of grains aggregates.

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“…The Voronoi tessellation procedure has been extensively used in the literature for the numerical construction of polycrystalline structures; see, for instance, [13,14,[19][20][21][22][23][24][25].…”

Section: Reference Problemmentioning

confidence: 99%