Three-dimensional phase field sintering simulations accounting for the rigid-body motion of individual grains

Termuhlen, Robert; Chatzistavrou, Xanthippi; Nicholas, Jason D.; Yu, Hui-Chia

doi:10.1016/j.commatsci.2020.109963

Cited by 37 publications

(16 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Within each of these contexts, two approaches in modelling the solid-state sintering process have been established: On the one hand there is a purely diffusive approach in which the phase-field model of choice is enhanced by incorporating diffusive pathways [4][5][6]. On the other hand there is an approach which, in addition to diffusive pathways, incorporates a kind of rigid body motion (RBM) by including an advective term in the evolution equations [7][8][9][10][11][12][13][14][15][16]. Some investigations [10,15] include a comparison of simulations with and without RBM, with the observed difference being a less pronounced shrinkage if no RBM is included.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand there is an approach which, in addition to diffusive pathways, incorporates a kind of rigid body motion (RBM) by including an advective term in the evolution equations [7][8][9][10][11][12][13][14][15][16]. Some investigations [10,15] include a comparison of simulations with and without RBM, with the observed difference being a less pronounced shrinkage if no RBM is included. However, this does not readily imply that RBM is a necessary ingredient for representing sintering, since a higher shrinkage at the same time could simply be achieved by an increase in the diffusion coefficients.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of rigid body motion in phase-field models of solid-state sintering

Seiz

2022

Computational Materials Science

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of rigid body motion in phase-field models of solid-state sintering

Seiz

2022

Computational Materials Science

View full text Add to dashboard Cite

“…starting with an initial configuration of small isolated pores at triple lines and quadruple junctions. Recently, approaches have been proposed using initial random packings of spherical particles [32,33], where starting from an initial configuration typically obtained by discrete simulations, the authors perform 3D phase field simulations with the main diffusion mechanisms simulated (surface, grain-boundary, and bulk diffusion). The effect of rigidbody motion of individual particles may also be included [33].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, approaches have been proposed using initial random packings of spherical particles [32,33], where starting from an initial configuration typically obtained by discrete simulations, the authors perform 3D phase field simulations with the main diffusion mechanisms simulated (surface, grain-boundary, and bulk diffusion). The effect of rigidbody motion of individual particles may also be included [33]. In the latter study, the authors were able to run simulations with about 3000 particles and up to a final relative density of around 0.8.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2021

View full text Add to dashboard Cite

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.

show abstract

“…The Wang's approach [10] is the most common option to introduce the densifying contributions into the phase-field partial differential equations. Due to lack of rigorous physical or mechanical theoretical foundation its practical usage is not straightforward since an additional set of parameters, which cannot be precomputed and may only be calibrated to fit the experimental data [11], emerges. To overcome this limitation, an alternative approach based on zero grain boundary force assumption has been recently derived [12].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2022

View full text Add to dashboard Cite

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.

show abstract

Three-dimensional phase field sintering simulations accounting for the rigid-body motion of individual grains

Cited by 37 publications

References 48 publications

Effect of rigid body motion in phase-field models of solid-state sintering

Effect of rigid body motion in phase-field models of solid-state sintering

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

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

Contact Info

Product

Resources

About