Three-dimensional virtual grain structure generation with grain size control

Zhang, P.; Karimpour, Morad; Balint, D.; Lin, Jianguo

doi:10.1016/j.mechmat.2012.08.005

Cited by 24 publications

(11 citation statements)

References 76 publications

(85 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A nonlocal parameter, λ , is presented in the previous studies . This parameter, which can evaluate the regularity of a grain structure, is defined as follows:

boldλ = \frac{δ}{{boldd}_{boldreg}}

where δ is the minimum seed spacing and d reg is the distance between two adjacent seeds in an equivalent regular tessellation.…”

Section: Methodsmentioning

confidence: 99%

“…P r can be determined by a one‐parameter gamma distribution as follows:

P_{r} = \int_{D_{mean} / D_{L}}^{D_{mean} / D_{R}} \frac{{boldC}^{boldc}}{normalГ ((), c)} x^{boldc - bold1} e^{- boldcx} bolddx

where c is the distribution parameter that can be calculated by a Newton‐Raphson search procedure. Once c calculated the regularity parameter, λ can be determined by a correlation equation between c and λ …”

Section: Methodsmentioning

confidence: 99%

“…A nonlocal parameter, λ, is presented in the previous studies. 26,27 This parameter, which can evaluate the regularity of a grain structure, is defined as follows:…”

Section: Controlled Poisson Voronoi Tessellationmentioning

confidence: 99%

“…Once c calculated the regularity parameter, λ can be determined by a correlation equation between c and λ. 26…”

Section: Controlled Poisson Voronoi Tessellationmentioning

confidence: 99%

See 3 more Smart Citations

Investigation of microstructure effect on fretting fatigue crack initiation using crystal plasticity

Minaii

Farrahi

Karimpour

et al. 2018

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

The onset of fretting fatigue is characterized by material microstructural changes in which the extent of the damage is comparable to grain size, and hence, the microstructure characteristics could have a significant effect on fatigue crack initiation. In this paper, a three‐dimensional finite element crystal plasticity framework is presented for simulation of the fretting fatigue. Controlled Poisson Voronoi tessellation (CPVT) method is employed to generate the polycrystalline region. In the CPVT method, regularity parameter controls the shape of grains. In this study, the impact of grain size and regularity parameter on crack initiation life and initiation site has been investigated. Cumulative plastic slip was used as a parameter of microstructure‐sensitive fatigue indicator. This parameter could effectively predict the location of crack initiation and its life. The results show that regularity parameter has a significant effect on the location of crack initiation. Furthermore, the effect of grain size on the fretting fatigue life of 316L stainless steel was investigated experimentally through testing different specimens with different grain sizes, to validate the simulation results.

show abstract

“…A nonlocal parameter, λ , is presented in the previous studies . This parameter, which can evaluate the regularity of a grain structure, is defined as follows:

boldλ = \frac{δ}{{boldd}_{boldreg}}

where δ is the minimum seed spacing and d reg is the distance between two adjacent seeds in an equivalent regular tessellation.…”

Section: Methodsmentioning

confidence: 99%

“…P r can be determined by a one‐parameter gamma distribution as follows:

P_{r} = \int_{D_{mean} / D_{L}}^{D_{mean} / D_{R}} \frac{{boldC}^{boldc}}{normalГ ((), c)} x^{boldc - bold1} e^{- boldcx} bolddx

Section: Methodsmentioning

confidence: 99%

“…A nonlocal parameter, λ, is presented in the previous studies. 26,27 This parameter, which can evaluate the regularity of a grain structure, is defined as follows:…”

Section: Controlled Poisson Voronoi Tessellationmentioning

confidence: 99%

“…Once c calculated the regularity parameter, λ can be determined by a correlation equation between c and λ. 26…”

Section: Controlled Poisson Voronoi Tessellationmentioning

confidence: 99%

See 2 more Smart Citations

Investigation of microstructure effect on fretting fatigue crack initiation using crystal plasticity

Minaii

Farrahi

Karimpour

et al. 2018

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…Zhou et al [20] studied the effects of particle size and volume fraction on the strength, elongation, and toughness of Al alloy by using FEM combined with strain gradient plasticity theory, in which the grain structure is represent by hexagon. Zhang et al [21,22] generated polycrystalline structure by the Voronoi method and applied it to crystal plasticity analysis. As can be seen, CPFE has been a widely used approach in studying the mechanical behavior of polycrystalline material, and more details about it can be found in [23].…”

Section: Introductionmentioning

confidence: 99%

Effects of subgrain size and static recrystallization on the mechanical performance of polycrystalline material: A microstructure-based crystal plasticity finite element analysis

Han

Tang

Kou

et al. 2015

Progress in Natural Science: Materials International

View full text Add to dashboard Cite

In this paper, the effects of subgrain size and static recrystallization on the mechanical performance of polycrystalline material were investigated using a microstructure-based crystal plasticity finite element (CPFE) model. Firstly, polycrystalline microstructures with different mean subgrain sizes were prepared using simple assumption based on experimental observations, and intermediate microstructures during static recrystallization (SRX) were simulated by a cellular automata model adopting curvature driven grain/subgrain growth mechanism. Then, CPFE method was applied to perform stress analysis of plane strain tension on these virtual microstructures. The results show that the subgrains inside pre-existing grains have an effect on the heterogeneity of the stress distributions. The average stress decreases with increasing the mean subgrain radius. As grain/subgrain grows during SRX, the average stress also decreases. It can be deduced that well-defined and finer subgrain structure may strengthen the polycrystalline material, while grain/subgrain growth during SRX process will degrade the strength.

show abstract

Generalised Voronoi tessellation for generating microstructural finite element models with controllable grain-size distributions and grain aspect ratios

Shen

Proust

2015

Int. J. Numer. Meth. Engng

View full text Add to dashboard Cite

A generalised Voronoi tessellation is proposed to create three-dimensional microstructural finite element model, which can effectively reproduce the grain size distribution and grain aspect ratio obtained from experiments. This new approach consists of two steps. The first step generates the desired lognormal grain size distribution with a given average grain volume and standard deviation. The second step requires grouping meshed elements to create a specific grain aspect ratio, using the Voronoi generators from the first step. A new concept is introduced to describe the transition from the Poisson-Voronoi tessellation to the centroidal Voronoi tessellation. More importantly, instead of using the conventional way where the Voronoi cells are first generated and then meshed into finite elements, this new approach discretises the pre-meshed specimen with the Voronoi generators. This new technique prevents the presence of high density mesh at the vertices of Voronoi cells, and can tessellate irregular geometry much more easily. Examples of microstructures with different size distributions, non-equiaxed grains and complicated specimen geometries further demonstrate that the proposed approach can offer great flexibility to model various specimen geometries while keeping the process simple and efficient. GENERALISED VORONOI TESSELLATION FOR GENERATING MICROSTRUCTURES 145 polycrystals. Its effectiveness and robustness have been verified for CPFE applications in terms of nanoindentation, fatigue, grain size and grain boundary effects and twinning [7][8][9][10][11]. Kumar et al. [12] studied the properties of 3D Poisson-Voronoi cells in terms of the distributions of the number of cell faces, volume and surface area. They numerically simulated several hundred thousand cells using the Monte Carlo method and found that the faces, volume and surface area distributions of the Poisson-Voronoi cells can be best described by a two-parameter gamma distribution. Nonetheless, if the number of cells is less than several thousands, a lognormal distribution can also be used to approximate these distributions. In terms of grain volume, intersected area and intercept length in a polycrystal, Vaz and Fortes [13] concluded that these properties are usually lognormally distributed. Their experimental results have shown that the gamma and lognormal distributions can describe the sizes of metallic polycrystals fairly well. Furthermore, it was revealed that the distributions of different dimensions, that is cell volumes in 3D, cell areas in 2D and edge lengths in 1D, have to be fitted with different parameters of distribution [14]. Hence, in order to accurately study a 3D microstructure involving the grain size distribution using CPFE simulations, a 3D VT that reflects the specific grain size distribution is required. The lognormal distribution function was also used to study elastic-viscoplastic materials through a representative volume element [15]. Recently, Lazar et al. [16] analysed a structure containing 250 million Poisson-Voronoi cell...

show abstract

Three-dimensional virtual grain structure generation with grain size control

Cited by 24 publications

References 76 publications

Investigation of microstructure effect on fretting fatigue crack initiation using crystal plasticity

Investigation of microstructure effect on fretting fatigue crack initiation using crystal plasticity

Effects of subgrain size and static recrystallization on the mechanical performance of polycrystalline material: A microstructure-based crystal plasticity finite element analysis

Generalised Voronoi tessellation for generating microstructural finite element models with controllable grain-size distributions and grain aspect ratios

Contact Info

Product

Resources

About