An elementary simulation model for neck growth and shrinkage during solid phase sintering

Thomsen, Fritz; Hofmann, G.; Ebel, Thomas; Willumeit‐Römer, Regine

doi:10.1016/j.mtla.2018.08.031

Cited by 7 publications

(18 citation statements)

References 22 publications

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“…The model developed by Thomsen et al [42] is capable to simulate sintering of 2 particles only. To extend it applicability to packings with large number of particles, the following quasi-static DEM approach is proposed.…”

Section: Basic Ideamentioning

confidence: 99%

“…The sintering force is introduced with the aid of the 7DOF model developed by Thomsen et al [42,44]. A short summary is provided herein and the reader is referred to the aforementioned works for more details.…”

Section: Dof Particles Sintering Modelmentioning

confidence: 99%

“…This introduces then linear dependency between the density of the particle flux and the gradient of the chemical potential μ. As pointed in [42], this general form of the first Fick's law, for which the driving force is provided by the gradient of chemical potential rather than the gradient of concentration (which is a more common formulation), allows to compute the volume fluxes as…”

Section: Dof Particles Sintering Modelmentioning

confidence: 99%

“…The thermodynamically driven particles interaction is described differently in comparison with the existing approaches. The complete sintering interaction, i.e., mass transport mechanism of grain boundary diffusion and sintering driving force resulting from surface tension, in all the aforementioned formulations relies on the derivations of Bouvard and McMeeking [22] obtained from Coble's assumptions [41] for the neck geometry, whereas the proposed approach employs the elementary model derived by Thomsen et al [42] to quantify the mass transport effects between the two particles resulting in local geometry changes leading to rearrangements within the packing. To describe the geometry of a contact pair, this formulation introduces 7 variables (degrees of freedom) whose evolution is represented by the system of seven partial differential equations.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Basic Ideamentioning

confidence: 99%

Section: Dof Particles Sintering Modelmentioning

confidence: 99%

Section: Dof Particles Sintering Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2022

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“…Sintering theory has been developed continuously, but the prediction of microstructure evolution has been always challenging even during solid-state sintering of ceramics in a simple case. Different theories were used to treat sintering and they presumed extremely simplified geometries of two or three spherical or composition of other idealized geometries with a number of diffusion paths to analytically predict shrinkage rates [31][32][33]. Recently, numerical simulation approaches have been broadly developed to model sintering such as FE methods [34],…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional virtual microstructure generation of porous polycrystalline ceramics

Naderi

Dean

Zhang

2019

Ceramics International

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Various numerical methods have been recently employed to model microstructure of ceramics with different level of accuracy. The simplicity of the models based on regular morphologies results in a low computational cost, but these methods produce less realistic geometries with lower precision. Additional methods are able to reconstruct irregular structures by simulating the grain-growth kinetics but are restricted due to their high computational cost and complexity. In this paper, an innovative approach is proposed to replicate a three-dimensional (3D) complex microstructure with a low computational cost and the realistic features for porous polycrystalline ceramics.We present a package, written in MATLAB, that develops upon the basic Voronoi tessellation method for representing realistic microstructures to describe the evolution during the solid-state sintering process. The method is based on a cohesive prism that links the interconnect cells and thus simulates the neck formation. Spline surfaces are employed to represent more realistic features. The method efficiently controls shape and size and is able to reconstruct a wide range of microstructures composed of grains, grain boundaries, interconnected (open) and isolated (closed) pores. The numerical input values can be extracted from 2D imaging of real polished surfaces and through theoretical analysis. The capability of the method to replicate different structural properties is tested using some examples with various configurations.

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A free-energy-based and interfacially consistent phase-field model for solid-state sintering without artificial void generation

Yang

Gao

Kirshtein

et al. 2023

Computational Materials Science

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An elementary simulation model for neck growth and shrinkage during solid phase sintering

Cited by 7 publications

References 22 publications

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

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

Three-dimensional virtual microstructure generation of porous polycrystalline ceramics

A free-energy-based and interfacially consistent phase-field model for solid-state sintering without artificial void generation

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