Development of a DEM taking account of neck increments caused by surface diffusion for sintering and application to analysis of the initial stage of sintering

Matsuda, Tsuneo

doi:10.1016/j.commatsci.2021.110525

Cited by 13 publications

(7 citation statements)

References 38 publications

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“…Indeed, the presence of secondary phase at a GB can influence positively or negatively its mobility, a phenomenon that can also be advantageously used to limit grain growth [3,11,12]. Recently, numerical modeling of sintering coupled with grain growth have been proposed through finite difference method [13], Monte Carlo (MC) model [14,15,16,17,18], phase field approach [19,20,21,22,23,24], finite element or meshed-based methods [25,26], Discrete Element Method (DEM) [27] or a combination of methods [28,29]. Due to the complexity of the representation of the shape and of the physics of sintering, these approaches are, with the exception of DEM, generally computationally limited to a few particles, rarely a few hundreds, and often in 2D.…”

Section: Introductionmentioning

confidence: 99%

Grain growth in sintering: A discrete element model on large packings

et al. 2021

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Sintering is a high temperature process used for ceramic or metallic powder consolidation that consists of concurrent densification and grain growth. This work presents a coupled solid-state sintering and grain growth model capable of studying large packings of particles within the Discrete Element Method (DEM) framework. The approach uses a refinement for large particle size ratios of previously established contact laws to model shrinkage. In addition, mass transfer between neighboring particles is implemented to model grain growth by surface diffusion and grain-boundary migration. The model assumptions are valid for initial and intermediate stage sintering. The model is validated on a two-particle system by comparing neck and particle size evolutions with those obtained by phase-field and meshedbased methods. Simulations on large packings (up to 400 000 particles) with particle size distributions originating from experiments are performed. The results of these simulations using physical data from the literature are compared to experimental data with good accordance of the key features of the microstructure evolution (densification kinetics, grain size-density trajectory, evolution of the mean grain size and of the size distribution). The simulations show that even at an early stage of sintering, hardly detectable grain growth actually affects the sintering kinetics to a non-negligible extent and that the realism of DEM simulations of sintering is improved when grain growth is considered. Taking advantage of the possibility to simulate large packings, the model elucidates the influence of the initial particle size distribution on the grain growth kinetics.

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Section: Introductionmentioning

confidence: 99%

Grain growth in sintering: A discrete element model on large packings

et al. 2021

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“…Computational methods to understand sintering behavior have been developed using various models over the last three decades. [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] Various models, such as the Monte Carlo (MC) model, [15][16][17][18][19][20][21][22] discrete element model (DEM), [23][24][25] phase field model (PFM), 26,27 finite element model (FEM), 28,29 and finite-calculation method, [30][31][32] have been developed and implemented. However, the available models have not yet sufficiently simulated the entire sintering process.…”

Section: Introductionmentioning

confidence: 99%

“…However, the available models have not yet sufficiently simulated the entire sintering process. Furthermore, previous reports using DEM 24,25,33 for sintering and the related processes indicate that the inhomogeneity in compacts must be focused on to realize a better-sintered body. Therefore, a specific and appropriate simulation method should be selected for particular purposes.…”

Section: Introductionmentioning

confidence: 99%

“…Computational methods to understand sintering behavior have been developed using various models over the last three decades 15–32 . Various models, such as the Monte Carlo (MC) model, 15–22 discrete element model (DEM), 23–25 phase field model (PFM), 26,27 finite element model (FEM), 28,29 and finite‐calculation method, 30–32 have been developed and implemented.…”

Section: Introductionmentioning

confidence: 99%

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Distortion prediction during sintering using Monte Carlo method implemented with virtual springs

Matsuda

2022

Int J Ceramic Engine & Sci

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A computational simulation for sintering based on the Monte Carlo (MC) method implemented with a virtual spring was developed to predict the shrinkage and deformation of compacts. Conventional MC models do not sufficiently consider the local strain of the cells. The proposed model considered the local strain using a virtual spring in each cell. The model linked with the finite element method enables direct calculation of the deformation of the powder compacts. The results indicate that the distortion tendency of the simulations agreed with the experimental results of the sintering of Al2O3 powder compacts. Furthermore, the results indicate the potential of the model to predict the stress distribution in a microstructure during sintering.

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“…Thanks to this enhancement of the particles contact model, it became possible to study sintering and postsintering residual stresses of parti-cles collections [33]. Due to its elegance and efficiency, the approach of Nosewicz et al got a lot of attention among the researchers: For instance, Iacobellis et al [34] used it to model sintering of ceramic composite materials (ZrB 2 -SiC), Matsuda [35] enhanced it with independent evaluation of the neck growth rate between two particles by means of the direct integration of the diffusion equation.…”

Section: Introductionmentioning

confidence: 99%

Coupling the discrete element method and solid state diffusion equations for modeling of metallic powders sintering

et al. 2022

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A novel discrete element method-based approach for modeling of solid state sintering of spherical metallic powder is presented. It tackles the interplay between the thermodynamical mass transport effects arising in the vicinity of the grain boundary between the particles and their mechanical interaction. To deal with the former, an elementary model is used that describes the behavior of the matter flow at the grain boundary such that neck growth and shrinkage are properly captured. The model solves a set of partial differential equations which drive the changes of the corresponding geometry parameters. Their evolution is transformed into the equivalent normal sintering force arising in each sinter neck. To capture the mechanical interaction of particles due to their rearrangement resulting from the geometry changes of each individual contact, the entire assembly is modeled as an assembly of 2-nodal structural elements with 6 degrees of freedom per node. The stiffness properties are estimated employing the approximations from the bonded DEM. The numerical implementation then constitutes a two-step staggered solution scheme, where these models are applied sequentially. The performed benchmarks reveal the plausibility of the proposed approach and exhibit good agreement of both neck growth and shrinkage rates obtained in the numerical simulations with the experimental data.

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Development of a DEM taking account of neck increments caused by surface diffusion for sintering and application to analysis of the initial stage of sintering

Cited by 13 publications

References 38 publications

Grain growth in sintering: A discrete element model on large packings

Grain growth in sintering: A discrete element model on large packings

Distortion prediction during sintering using Monte Carlo method implemented with virtual springs

Coupling the discrete element method and solid state diffusion equations for modeling of metallic powders sintering

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