Five-parameter grain boundary distribution of commercially grain boundary engineered nickel and copper

Randlè, Valerie; Rohrer, Gregory S.; Miller, Herbert M.; Coleman, Mark; Owen, G.

doi:10.1016/j.actamat.2008.01.039

Cited by 156 publications

(81 citation statements)

References 16 publications

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“…In this sense, the true anisotropy of GB energy may be more significant than what was previously 250 believed. On the other hand, despite possessing similar spreads of GB energy, the Σ9 OR GBs are observed in a distinctively higher population than those of Σ5 and Σ7 ORs [35,5]. This also contradicts with recent MD findings which suggest Σ5 and Σ9 ORs share similar spread of absolute GB energy values, both higher than that of Σ7 [14].…”

Section: Methodscontrasting

confidence: 56%

Computation of Five-Dimensional Grain Boundary Energy

Luo

Qin

2015

Acta Metall. Sin. (Engl. Lett.)

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A broken-bond type computational method has been developed for the calculation of the five-dimensional grain boundary energy. The model allows quick quantification of the unrelaxed five-dimensionally specified grain boundary energy in arbitrary orientations. It has been validated on some face-centred cubic metals. The stereo projections of grain boundary energy of Σ3, Σ5, Σ7, Σ9, Σ11, Σ17b and Σ31a have been studied. The results of Ni closely resemble experimentally determined grain boundary energy distribution figures, suggesting the overall anisotropy of grain boundary energy can be reasonably approximated by the present simple model. Owing to the overlooking of relaxation matter, the absolute values of energy calculated in present model are found to be higher than molecular dynamic based results by a consistent magnitude, which is 1Jm −2 for Ni. The coverage of present method forms a bridge between atomistic and meso-scale simulations regarding polycrystalline microstructure.

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Section: Methodscontrasting

confidence: 56%

Computation of Five-Dimensional Grain Boundary Energy

Luo

Qin

2015

Acta Metall. Sin. (Engl. Lett.)

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“…In addition, the distribution of grain boundary normals for most low CSL boundaries in IF steel is significantly different from those having a fcc structure (e.g., Cu, Ni, [17] Al, [9] and a-brass [23] ). The CSL boundaries observed as pure twist boundaries in fcc metals (e.g., R3 = 60/[111]) appeared to be symmetric tilt boundaries in the IF steel (Figure 6(f)) and vice versa (e.g., R5 and R9 in Figures 9(d) and 8(c), respectively).…”

Section: Discussionmentioning

confidence: 99%

The Distribution of Grain Boundary Planes in Interstitial Free Steel

Beladi

Rohrer

2012

Metall Mater Trans A

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The grain boundary character distribution in a commercial IF steel has been measured as a function of lattice misorientation and boundary plane orientation. The grain boundary plane distribution revealed a relatively low anisotropy with a tendency for grain boundaries to terminate on low index planes having relatively low surface energy and large interplanar spacings. Although the most common grain boundary plane orientation was (111), grain boundaries terminated on higher index planes were sometimes found. For instance, at a misorientation angle of 60 deg about [111], symmetric {112} tilt boundaries were far more populous than [111] twist boundaries. The current observation revealed an inverse relationship between the measured populations and the previously reported grain boundary energies.

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“…The tail is also present in the closer ½111=50 deg section (Figure 1(f)); this section has been considered without accounting for the impact of the peak at the twin boundary. [5,6] Clearly, large spread of peaks causes difficulties in interpretation of the distributions.…”

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confidence: 99%

“…7 of Ref. [6]. Solid lines correspond to the metric-based approach with q m ¼ 3 deg, q p ¼ 7 deg (black) and q m ¼ 5 deg ¼ q p (red).…”

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Analysis of Experimental Grain Boundary Distributions Based on Boundary-Space Metrics

Głowiński

Morawiec

2014

Metall Mater Trans A

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Grain boundary distributions in the space of macroscopic boundary parameters are basic statistical characteristics of boundary networks. To avoid artifacts caused by the currently used computation method, it is proposed to utilize the kernel density estimation technique and to determine boundary distributions based on metric functions defined in the boundary space. A distribution is calculated at points of interest by summing areas of boundaries that fall within specified distances from these points. The new method is illustrated on experimental data of a nickel-based superalloy.DOI: 10.1007/s11661-014-2325-y Ó The Author(s) 2014. This article is published with open access at Springerlink.com A variety of properties of polycrystalline materials are affected by grain boundaries. To explore relationships between boundary structures and material properties, the boundaries need to be investigated at both atomic and ''macroscopic'' levels. Studies at the atomic scale are limited by experimental capabilities, but the macroscopic boundary parameters (i.e., misorientations between neighboring grains and directions of boundary plane normals [1] ) can be relatively easily determined. Experimental methods of three-dimensional microstructure characterization have been improved greatly over the last decade, and large sets of boundary parameters are being collected, e.g., References 2, 3. The sizes of resulting data sets allow for statistical analyses of boundaries.One of the most basic statistical characteristics of a boundary network is the distribution of grain boundaries with respect to the macroscopic boundary parameters. In relevant reports published so far (e.g., References 4 through 8), the distributions have been computed using a method [4] based on partition of a certain domain in the boundary parameter space into equivolume bins. Although this method has been successfully applied to various materials, it has deficiencies leading to artifacts in computed distributions, and complicating estimation of the reliability of the distributions.This note presents an alternative approach to computation of the boundary distributions. Suggestions given in Reference 9 are followed to adapt the kernel density estimation technique and to replace the partition of the boundary space by probing the distributions at selected points and counting boundaries that are not farther from those points than an assumed limiting distance defined in the boundary space. It is shown that this change of the computation method leads to significant improvements in the quality of resulting distributions. The new method also allows for a direct estimation of the reliability of the distributions. In the following, deficiencies of the hitherto used approach are discussed. Then, the new approach is described and confronted with the old one. Both methods are applied to grain boundary data of a nickel-based superalloy. For simplicity, only cubic ðm " 3mÞ crystal symmetry is considered; similar analysis can be performed for other holohedral symmetries.The gra...

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Five-parameter grain boundary distribution of commercially grain boundary engineered nickel and copper

Cited by 156 publications

References 16 publications

Computation of Five-Dimensional Grain Boundary Energy

Computation of Five-Dimensional Grain Boundary Energy

The Distribution of Grain Boundary Planes in Interstitial Free Steel

Analysis of Experimental Grain Boundary Distributions Based on Boundary-Space Metrics

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