Simulation of the toughness of partially sintered ceramics with realistic microstructures

Jauffrès, David; Martín, Christophe; Lichtner, Aaron; Bordia, Rajendra K.

doi:10.1016/j.actamat.2012.05.024

Cited by 26 publications

(32 citation statements)

References 40 publications

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“…In addition, DES has been used to calculate the properties of partially sintered bodies. As DES predicts the grain size and its distribution quite well, excellent agreements have been found in the simulated and measured elastic properties, fracture toughness, compressive strength, and transport properties . The DES approach can be used to calculate the constitutive parameters and should be extended to predict anisotropic constitutive parameters (Section 3.5).…”

Section: Challenges and Outlookmentioning

confidence: 81%

Current understanding and future research directions at the onset of the next century of sintering science and technology

2017

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Sintering and accompanying microstructural evolution is inarguably the most important step in the processing of ceramics and hard metals. In this process, an ensemble of particles is converted into a coherent object of controlled density and microstructure at an elevated temperature (but below the melting point) due to the thermodynamic tendency of the particle system to decrease its total surface and interfacial energy. Building on a long development history as a major technological process, sintering remains among the most viable methods of fabricating novel ceramics, including high surface area structures, nanopowder-based systems, and tailored structural and functional materials. Developing new and perfecting existing sintering techniques is crucial to meet ever-growing demand for a broad range of technologically significant systems including, for example, fuel and solar cell components, electronic packages and elements for computers and wireless devices, ceramic and metal-based bioimplants, thermoelectric materials, materials for thermal management, and materials for extreme environments.In this study, the current state of the science and technology of sintering is presented. This study is, however, not a comprehensive review of this extremely broad field. Furthermore, it only focuses on the sintering of ceramics. The fundamentals of sintering, including the thermodynamics and kinetics for solid-stateand liquid-phase-sintered systems are described. This study summarizes that the sintering of amorphous ceramics (glasses) is well understood and there is excellent agreement between theory and experiments. For crystalline materials, attention is drawn to the effect of the grain boundary and interface structure on sintering and microstructural evolution, areas that are expected to be significant for future studies. Considerable emphasis is placed on the topics of current research, including the sintering of composites, multilayered systems, microstructure-based models, multiscale models, sintering under external stresses, and innovative and novel sintering approaches, such as field-assisted sintering. This study includes the status of these subfields, the outstanding challenges and opportunities, and the outlook of progress in sintering research. Throughout the manuscript, we highlight the important lessons learned from sintering fundamentals and their implementation in practice.This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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Section: Challenges and Outlookmentioning

confidence: 81%

Current understanding and future research directions at the onset of the next century of sintering science and technology

2017

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“…Hence, samples are only loaded uniaxially in the tensile mode by imposing a constant strain‐rate. Jauffrès et al's contact model, is adopted and two types of solid contacts are considered. The first type represents the solid elastic contacts (see Figure ), which are described by simple interaction law and controlled by four degrees of freedom: accumulated normal and tangential displacement u N and u T , and accumulated normal and tangential rotations θ N and θ T .…”

Section: Model Descriptionmentioning

confidence: 99%

“…f N and f T is the correction functions that describes the interaction between neighboring contacts:

f_{N} = \frac{1 + r^{*} [\frac{normalπ}{6} (1 - {italicν}^{2}) (1 + 2 r^{*}) - r^{*}]}{\sqrt{1 - {r^{*}}^{2}} - ψ \{r^{*} + {r^{*}}^{2} [\frac{normalπ}{6} (1 - {italicν}^{2}) (1 + 2 r^{*}) - r^{*}]\}}

f_{T} = \frac{1 + {r^{*}}^{2} [\frac{normalπ}{6} (1 - {italicν}^{2}) (1 + 2 r^{*}) - r^{*}]}{\sqrt{1 - {r^{*}}^{2}}}

where r * is the normalized contact radius and equal to r / R *. ψ is a complicated function of the Poisson's ration and the angle with all other loading directions, but is set as 0.08 according to Ref . The sintered contacts also transmit the resisting moments in the normal and tangential direction, respectively, which are given by:

M_{N} = \frac{- 8 E {R^{*}}^{3}}{(2 - ν) (1 + ν)} f_{T} {r^{*}}^{3} {normalθ}_{N}

M_{T} = \frac{- 2 E {R^{*}}^{3}}{(1 - {italicν}^{2})} f

…”

Section: Model Descriptionmentioning

confidence: 99%

Influence of microstructure properties and layer thickness on strength and permeance of ceramic membranes

Guan

Liu

Zhu

et al. 2017

Int J Applied Ceramic Tech

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We numerically predict the microstructure properties of ceramic membranes and the coupling effects of microstructure properties and layer thickness on the strength and permeance of ceramic membranes. It is found that particle size is the most important factor, followed by thickness and finally by microstructure parameters. The general design principle for strength and permeance are ht≤normalσthsKtnormalσsKs and ht≤hsKtKs respectively, with σ, h, and K the strength, thickness and permeability, while the subscript s and t represent the support and sintered layer, respectively.

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“…During sintering of random aggregates, n c increases monotonously with ρ. Many authors have investigated this phenomenon from experimental and theoretical point of views, or using simulation by the discrete element method (DEM) . The “trajectory” of the evolution of n c with ρ starts at initial coordination number, n c0 , and relative density, ρ 0 , which can vary widely depending on the technique used for preparing the green part.…”

Section: Introductionmentioning

confidence: 99%

Sintering Kinetics Across Pore Closure Transition Accounting for Continuous Increase in Grain Coordination with Density

Delannay

2015

J. Am. Ceram. Soc.

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The influence of dihedral angle and particle coordination on the evolution of densification rate is investigated throughout the intermediate and final stages of sintering. From a review of literature data, heuristic expressions are proposed for representing different trajectories of evolution of coordination from the onset of skeleton formation up to full density. The influence of dihedral angle and coordination on the threshold density for pore closure is established by revisiting the Plateau–Rayleigh instability criterion. The intermediate and final stages are modeled using representative volume elements that do not restrict coordination to integer values. Computational results enlighten the interplay between coordination and dihedral angle on the evolution of sintering stress, bulk viscosity, and sintering rate. The results allow quantifying the amplitude of the drop of densification rate at pore closure transition. The monotonous increase of coordination with relative density brings about a monotonous increase of sintering rate at constant particle size. Simulations emphasize the beneficial effect of higher initial density and coordination in the green part.

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Simulation of the toughness of partially sintered ceramics with realistic microstructures

Cited by 26 publications

References 40 publications

Current understanding and future research directions at the onset of the next century of sintering science and technology

Current understanding and future research directions at the onset of the next century of sintering science and technology

Influence of microstructure properties and layer thickness on strength and permeance of ceramic membranes

Sintering Kinetics Across Pore Closure Transition Accounting for Continuous Increase in Grain Coordination with Density

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