Three-dimensional microstructural evolution in ideal grain growth—general statistics
TL;DR: In this article, the surface evolver method was used to model the process of boundary motion by curvature to minimize the boundary energy, and the boundary network reached steady structure after the incubation and transient period.
About: This article is published in Acta Materialia.The article was published on 2000-04-02. It has received 194 citations till now. The article focuses on the topics: Grain boundary strengthening & Grain boundary.
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TL;DR: Vonoi tessellations are used and are shown to include morphological properties that make them particularly challenging to mesh with high element quality, and the results are mainly illustrated by the high-quality meshing of polycrystals with large number of grains.
815 citations
TL;DR: In this article, the kinetics and topology of grain growth in 3D are simulated using a phase-field model of an ideal polycrystal with uniform grain-boundary mobilities and energies.
376 citations
TL;DR: This review covers recent advances in the study of foam drainage and coarsening, focusing especially on the effective role of the foam chemical components on those aging processes, and summarizes how the surfactant, the liquid bulk properties, and the gas modify or not the drainage andCoarsening features.
Abstract: This review covers recent advances in the study of foam drainage and coarsening, focusing especially on the effective role of the foam chemical components on those aging processes. The determination of the relevant parameters controlling foam drainage and coarsening today remains a major issue: are the physical parameters (like bubble size and liquid fraction) sufficient to define a foam and to predict its evolution, or do the chemical components also matter? And if these foam components are important, one has to determine by which mechanisms, and which microscopic parameters involved in these mechanisms are eventually crucial. I report here recent experimental results, shedding light on these issues. It allows us to summarize how the surfactant, the liquid bulk properties, and the gas modify or not the drainage and coarsening features. The coupling between drainage and coarsening is also discussed, as well as the role of the experimental conditions (sample height, shape or foam uniformity).
319 citations
TL;DR: In this article, a robust framework for the collection, quantification and simulation of 3D polycrystalline microstructures was developed for the serial-sectioning of grains.
283 citations
TL;DR: In this paper, the authors present a systematic classification of representative volume element (RVE) generation techniques for heterogeneous materials, and divide heterogeneous solids into porous and non-porous media.
276 citations
Cites methods from "Three-dimensional microstructural e..."
...[144] computed an initial configuration with 1000 grains based on a constant volume constraint and a default mobility with arbitrary packing of grains with periodic boundary conditions....
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...ructure generated by Poisson-Voronoi tessellation [103,144]....
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References
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TL;DR: The Surface Evolver is a computer program that minimizes the energy of a surface subject to constraints that is represented as a simplicial complex.
Abstract: The Surface Evolver is a computer program that minimizes the energy of a surface subject to constraints. The surface is represented as a simplicial complex. The energy can include surface tension, gravity and other forms. Constraints can be geometrical constraints on vertex positions or constraints on integrated quantities such as body volumes. The minimization is done by evolving the surface down the energy gradient. This paper describes the mathematical model used and the operations available to interactively modify the surface.
2,241 citations
TL;DR: In this article, a growth equation for individual grains in single-phase materials is suggested, which is used to calculate a rate equation for normal grain growth and the size distribution in the material.
1,840 citations
Book•
14 Mar 1978
TL;DR: In this article, the authors provide the latest information on the branch of physics that is primarily devoted to the study of matter in its solid phase, especially at the atomic level, and present timely and state-of-the-art reviews pertaining to all aspects of solid state physics.
Abstract: Solid State Physics provides the latest information on the branch of physics that is primarily devoted to the study of matter in its solid phase, especially at the atomic level. This prestigious serial presents timely and state-of-the-art reviews pertaining to all aspects of solid state physics. * Contains contributions from leading authorities in the study of solid state physics, especially at the atomic level* Informs and updates on all the latest developments in the field* presents timely and state-of-the-art reviews pertaining to all aspects of solid state physics
1,123 citations
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TL;DR: In this article, the development of theories for normal grain growth in pure single phase systems is reviewed and a major theme which emerges is the interplay between the topological requirements for space filling and the kinetics of change in mean grain size with time.
723 citations
TL;DR: A survey of random two-dimensional patterns, paying particular attention to soap cell networks, metallurgical grain structures and the Giant's Causeway.
Abstract: Random two-dimensional patterns crop up in a wide variety of scientific contexts. What do they have in common? How can they be classified or analysed? These questions are underlined, and partly answered, by a survey of such patterns, paying particular attention to soap cell networks, metallurgical grain structures and the Giant's Causeway.
631 citations