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Journal ArticleDOI

The relative free energies of grain boundaries in magnesia as a function of five macroscopic parameters

01 Aug 2003-Acta Materialia (Pergamon)-Vol. 51, Iss: 13, pp 3675-3686
TL;DR: In this article, the relative grain boundary energy of a particular grain boundary is inversely correlated with its frequency of occurrence, and the results are consistent with the predictions of dislocation models.
About: This article is published in Acta Materialia.The article was published on 2003-08-01. It has received 165 citations till now. The article focuses on the topics: Grain boundary strengthening & Grain boundary.
Citations
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Journal ArticleDOI
TL;DR: Grain boundary complexion transitions are the root cause of a wide variety of materials phenomena such as abnormal grain growth, grain boundary embrittlement and activated sintering as discussed by the authors, which have defied mechanistic explanation for years.

662 citations

Journal ArticleDOI
TL;DR: The absolute grain boundary mobility of 388 nickel grain boundaries was calculated using a synthetic driving force molecular dynamics method; complete results appear in the Supplementary materials as discussed by the authors. But the authors did not consider the effect of boundary mobility on grain boundary roughening.

646 citations

Journal ArticleDOI
TL;DR: A review of grain boundary energy anisotropy can be found in this paper, with a brief discussion of the role of the grain boundary energies in nucleating discontinuous transitions in grain boundary structure and chemistry known as complexion transitions.
Abstract: This paper reviews findings on the anisotropy of the grain boundary energies. After introducing the basic concepts, there is a discussion of fundamental models used to understand and predict grain boundary energy anisotropy. Experimental methods for measuring the grain boundary energy anisotropy, all of which involve application of the Herring equation, are then briefly described. The next section reviews and compares the results of measurements and model calculations with the goal of identifying generally applicable characteristics. This is followed by a brief discussion of the role of grain boundary energies in nucleating discontinuous transitions in grain boundary structure and chemistry, known as complexion transitions. The review ends with some questions to be addressed by future research and a summary of what is known about grain boundary energy anisotropy.

366 citations

Journal ArticleDOI
TL;DR: In this paper, a semi-automated method has been used to measure all five macroscopically observable parameters of 4.1×10 6 boundary plane segments making up 5.4 mm 2 of boundary area in a hot-pressed magnesia polycrystal.

262 citations

Journal ArticleDOI
TL;DR: In this article, the authors review techniques that can be used to study the mesoscopic crystallographic structure of grain boundary networks and summarize current findings, showing that grain surfaces within dense polycrystals favor the same low energy planes that are found on equilibrium crystal shapes and growth forms of crystals in contact with another phase.
Abstract: Recent advances both in experimental instrumentation and computing power have made it possible to interrogate the distribution of internal interfaces in polycrystals and the three dimensional structure of the grain boundary network with an unprecedented level of detail. The purpose of this paper is to review techniques that can be used to study the mesoscopic crystallographic structure of grain boundary networks and to summarize current findings. Recent studies have shown that grain surfaces within dense polycrystals favor the same low energy planes that are found on equilibrium crystal shapes and growth forms of crystals in contact with another phase. In the materials for which comprehensive data exists, the distribution of grain boundaries is inversely correlated to the sum of the energies of the surfaces of the grains on either side of the boundary.

236 citations

References
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Book
01 Jan 1968
TL;DR: Dislocations in Isotropic Continua: Effects of Crystal Structure on Dislocations and Dislocation-Point-Defect Interactions at Finite temperatures.
Abstract: Dislocations in Isotropic Continua. Effects of Crystal Structure on Dislocations. Dislocation-Point-Defect Interactions at Finite Temperatures. Groups of Dislocations. Appendixes. Author and Subject Indexes.

10,220 citations

Journal ArticleDOI
W. T. Read1, William Shockley1
TL;DR: In this article, the authors investigated the energies and motions of grain boundaries between two crystallites using the dislocation model of grain boundary and provided a quantitative expression for energy per unit area for small angles.
Abstract: The energies and motions of grain boundaries between two crystallites are investigated theoretically using the dislocation model of grain boundaries. Quantitative predictions made for simple boundaries for cases in which the plane of the boundary contains the axis of relative rotation of the grains appear to agree with available experimental data. The quantitative expression for energy per unit area for small angles is approximately $[\frac{\mathrm{Ga}}{4\ensuremath{\pi}(1\ensuremath{-}\ensuremath{\sigma})}]\ensuremath{\theta}[A\ensuremath{-}\mathrm{ln}\ensuremath{\theta}]$ where $G$ is the rigidity modulus, $a$ the lattice constant, $\ensuremath{\sigma}$ Poisson's ratio, $\ensuremath{\theta}$ the relative rotation and $A$ approximately 0.23. Grain boundaries of the form considered may permit intercrystalline slip and may act as stress raisers for the generation of dislocations.

1,767 citations

Book
16 Nov 2012

1,390 citations


"The relative free energies of grain..." refers result in this paper

  • ...Our observations of high angle grain boundaries should be compared to the theory of the coincident site lattice (CSL), which has had a profound influence on grain boundary studies for the past three decades [29]....

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01 Jan 1981

1,341 citations

Book
01 Jan 1952

996 citations


"The relative free energies of grain..." refers methods in this paper

  • ...Following RS [22], we calculate the vectors Ni = b∗ i × u n(n·bi × u) which are simultaneously perpendicular to the ith dislocation...

    [...]