Mechanism of steady-state grain growth in aluminum

Rhines, F. N.; Craig, Kenneth R.; DeHoff, R. T.

doi:10.1007/bf02644109

Cited by 215 publications

(60 citation statements)

References 4 publications

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“…This is the topological characterization most commonly quoted in the literature [35,36]. Figure 1 shows this distribution of faces per cell; these data are consistent with those reported in [22] and [24].…”

Section: A Distribution Of Facessupporting

confidence: 89%

Statistical topology of three-dimensional Poisson-Voronoi cells and cell boundary networks

et al. 2013

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Voronoi tessellations of Poisson point processes are widely used for modeling many types of physical and biological systems. In this paper, we analyze simulated Poisson-Voronoi structures containing a total of 250,000,000 cells to provide topological and geometrical statistics of this important class of networks. We also report correlations between some of these topological and geometrical measures. Using these results, we are able to corroborate several conjectures regarding the properties of three-dimensional Poisson-Voronoi networks and refute others. In many cases, we provide accurate fits to these data to aid further analysis. We also demonstrate that topological measures represent powerful tools for describing cellular networks and for distinguishing among different types of networks.

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Section: A Distribution Of Facessupporting

confidence: 89%

Statistical topology of three-dimensional Poisson-Voronoi cells and cell boundary networks

et al. 2013

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“…Grain growth is a highly coupled phenomenon where the motion of one grain boundary can influence the motion of grain boundaries not connected to that grain boundary. Studying this coupling is the object of topological models of grain growth [29][30][31]. While the stable equilibrium state of a polycrystalline film is the single crystal state where all grain boundaries have been eliminated, there is a metastable equilibrium state where the film consists of grains in the shape of regular hexagonal right cylinders.…”

Section: -Driving Force For Normal Grain Growthmentioning

confidence: 99%

Grain Growth and Texture Evolution in Thin Films

Thompson¹,

Carel²

1996

MSF

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Microstructural and texture evolution during grain growth in polycrystalline thin films was investigated. Grain growth in thin films is a coarsening process driven by the reduction of grain boundary energy, surface energies, and strain energy density. Because crystal properties can be anisotropic, grain growth in thin films is an orientation selective process. Surface and interfacial energy minimization or reduction favors the growth of grains with low combined surface and interfacial free energy. For the films and substrates investigated in this thesis, surface and interfacial energy promotes the growth of (111)-textured grains. Thin films on thick substrates are usually subjected to a non-zero state of strain, arising from differential thermal expansion between the film and the substrate, from densification and from intrinsic strains. For elastically deformed fcc metal films, strain energy density promotes the growth of (001)-textured grains. In plastically deformed films, strain energy density can favor the growth of (011)-textured grains; this results from the orientation dependence of the yield stress of grains in thin films. (111) grains are predicted to maximize the yield stress, and (011) grains are predicted to have low yield stress. An analytic model for texture evolution during grain growth in thin films can be developed by equating the magnitudes of the orientation-dependent driving forces, for pairs of orientations. The analytic model can be used to generate texture maps that define which orientations are expected to grow preferentially as a function of the processing conditions, i.e., the deposition temperature, the grain growth temperature, and the film thickness. Experimental texture maps can be generated and used to test the validity of the analytic model.Computer simulations of grain growth have been carried out using a front-tracking simulation method. Interfacial energy, elastic and plastic strain energy density, and grain growth stagnation are accounted for in the simulations. Materials parameters characteristic of Ag/(001)Ni were used. The main result of the simulations is to validate the analytic model for texture evolution during grain growth. The computer simulations also provide insights into the coupling between yielding and grain growth.Grain growth experiments in Ag/(001)Ni/(001)Ag/(001)MgO, Ag/SiO2/MgO, Ag/SiO 2 /Si, Ni/SiO 2 /Si, and Al/SiO 2 /Si were carried out. Both the thickness and the thermal strain were systematically varied, and an experimental texture map was constructed for each system. The dependence of texture evolution on strain and thickness was found to be consistent with the trends predicted by the analytic model in all of these systems. While the texture map for Ag/(001)Ni was found in quantitative agreement with the model, with no adjustable parameters, no single set of fitting parameters was found for Ag/SiO 2 /Si and for Ag/SiO 2 fMgO. Possible origins of this discrepancy are discussed.Additional experiments are proposed that could provide a better under...

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“…The size distribution of small grains is nearly consistent with that for MgO, and fitted well by FðrÞ ¼ 3:1r 2 (m ¼ 2). On the grain growth exponent, n ¼ 3 has been reported for pure Al, 30,31) and we consider that the value would not be influenced so much by the addition of 0.04 mass% Cr. Although n ¼ 4:3 was obtained by curve fitting for this material, 29) re-analysis of the data shows that the growth behavior can also be explained by n ¼ 3.…”

Section: Methodsmentioning

confidence: 99%

Kinetics of Normal Grain Growth Depending on the Size Distribution of Small Grains

2003

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A theoretical relationship is derived between the kinetics of normal grain growth and the size distribution of small grains. When the distribution of the normalized grain size r is proportional to r m around r ¼ 0 in a steady state, the grain growth exponent n is revealed to be m þ 1. The same relationship is also derived from the analysis of the mean field model for particle growth. The validity of this relationship is confirmed from the consistence with existing grain-growth models and numerical simulations. Experimental consistence is observed for the size distribution on sectional surface. It is found that a log-normal function is not a steady-state size distribution for normal grain growth with n ¼ 2, even though it may approximate experimental size distributions. The obtained relationship is also shown to be applicable to particle coarsening by Ostwald-ripening.

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Mechanism of steady-state grain growth in aluminum

Cited by 215 publications

References 4 publications

Statistical topology of three-dimensional Poisson-Voronoi cells and cell boundary networks

Statistical topology of three-dimensional Poisson-Voronoi cells and cell boundary networks

Grain Growth and Texture Evolution in Thin Films

Kinetics of Normal Grain Growth Depending on the Size Distribution of Small Grains

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