2019
DOI: 10.1007/s00366-019-00820-2
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A method of step-by-step packing and its application in generating 3D microstructures of polycrystalline and composite materials

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Cited by 48 publications
(9 citation statements)
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“…Being statistics/empirically guided, packing tools enable designing 3D microstructure models of variable complexity and with a wide variety of geometrical features (Figure 7d-f). The packing concept implies filling a discretised computational domain with microstructural elements in a stepwise manner following geometrically based algorithms which are specifically defined for the microstructure type to be generated [149]. Compared to the tessellation-based approaches, [146,147] and (c) IN718 [31], which were generated using Voronoi tesselation; (d) polycrystalline model of an LPBF AlSi10Mg alloy simulated by SSP [29]; (e) RVEs of LPBF Ti-6Al-4V containing prior β grains without and with lamellar martensite α' microstructure [36], and (f) 2D domains combining synthetic grain structures with pores obtained using image reconstruction [148].…”
Section: Geometrically Based Microstructure Modelling and Image Recon...mentioning
confidence: 99%
See 2 more Smart Citations
“…Being statistics/empirically guided, packing tools enable designing 3D microstructure models of variable complexity and with a wide variety of geometrical features (Figure 7d-f). The packing concept implies filling a discretised computational domain with microstructural elements in a stepwise manner following geometrically based algorithms which are specifically defined for the microstructure type to be generated [149]. Compared to the tessellation-based approaches, [146,147] and (c) IN718 [31], which were generated using Voronoi tesselation; (d) polycrystalline model of an LPBF AlSi10Mg alloy simulated by SSP [29]; (e) RVEs of LPBF Ti-6Al-4V containing prior β grains without and with lamellar martensite α' microstructure [36], and (f) 2D domains combining synthetic grain structures with pores obtained using image reconstruction [148].…”
Section: Geometrically Based Microstructure Modelling and Image Recon...mentioning
confidence: 99%
“…An efficient option is to generate synthetic microstructures that statistically match real PBF-produced ones by the geometrical characteristics of microstructural elements. The synthetic microstructure generation approaches include spatial tessellation methods (e.g., Voronoi tessellation [31,146]) and semi-analytical packing tools (e.g., the step-by-step packing (SSP) method [29,30,149] or the Dream.3D packing algorithm [150]). While these methods are not physically based, they can still be successfully utilised in micromechanical simulations of AM materials [29][30][31]146,151].…”
Section: Geometrically Based Microstructure Modelling and Image Recon...mentioning
confidence: 99%
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“…In the numerical examples presented in this paper the grain structures were constructed with the step-by-step packing method providing fast generation of 3D microstructures on a hexahedral mesh [16]. A series of calculations was performed for polycrystals containing different numbers of equiaxed grains approximated by hexahedral meshes with different resolutions.…”
Section: Microstructure-based Simulationmentioning
confidence: 99%
“…Some reports are dedicated just to the computational design of microstructural models. Romanova et al [71] presented the step-by-step packing (SSP) method, while Naderi et al [69] introduced a package that generates realistic microstructures using the Voronoi tessellation method, and Laguerre-Voronoi tessellation was proposed by Falco et al [70]. Notwithstanding, they all represent a granular microstructure with some modifications, e.g., regular, random, or weighted random distribution.…”
Section: Introductionmentioning
confidence: 99%