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Philosophical Magazine Letters Volume 59, 1989 - Issue 2
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Original Articles

On the structural unit model of grain boundary structure

A. P. Sutton Department of Metallurgy and Science of Materials, Oxford University, Parks Road, Oxford, OX1 3PH, England
Pages 53-59 | Received 14 Oct 1988, Accepted 02 Nov 1988, Published online: 20 Aug 2006

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Christopher D. Barrett. (2017) Analysis of twinning via automated atomistic post-processing methods. Philosophical Magazine 97:14, pages 1102-1128.
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Pavel Lejček & Siegfried Hofmann. (1995) Thermodynamics and structural aspects of grain boundary segregation. Critical Reviews in Solid State and Materials Sciences 20:1, pages 1-85.
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A. P. Sutton & R. W. Ballufi. (1990) Rules for combining structural units of grain boundaries. Philosophical Magazine Letters 61:3, pages 91-94.
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A.A. Nazarov & A.E. Romanov. (1989) On the average misorientation angle of general tilt boundaries. Philosophical Magazine Letters 60:5, pages 187-193.
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Articles from other publishers (40)

Wei Wan & Changxin Tang. (2023) Structures and energies of computed silicon (001) small angle mixed grain boundaries as a function of three macroscopic characters. Acta Materialia 261, pages 119353.
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Xuyang Zhou, Ali Ahmadian, Baptiste Gault, Colin Ophus, Christian H. Liebscher, Gerhard Dehm & Dierk Raabe. (2023) Atomic motifs govern the decoration of grain boundaries by interstitial solutes. Nature Communications 14:1.
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Eric R. Homer, Gus L.W. Hart, C. Braxton Owens, Derek M. Hensley, Jay C. Spendlove & Lydia Harris Serafin. (2022) Examination of computed aluminum grain boundary structures and energies that span the 5D space of crystallographic character. Acta Materialia 234, pages 118006.
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Chunyang Wang, Huichao Duan, Chunjin Chen, Peng Wu, Dongqing Qi, Hengqiang Ye, Hai-Jun Jin, Huolin L. Xin & Kui Du. (2020) Three-Dimensional Atomic Structure of Grain Boundaries Resolved by Atomic-Resolution Electron Tomography. Matter 3:6, pages 1999-2011.
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Sheng-Cai Zhu, Xiao-Zhi Yan, Scott Fredericks, Yan-Ling Li & Qiang Zhu. (2018) First-principles investigation of Sc-III/IV under high pressure. Physical Review B 98:21.
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Jian Han, Spencer L. Thomas & David J. Srolovitz. (2018) Grain-boundary kinetics: A unified approach. Progress in Materials Science 98, pages 386-476.
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J. Möller & Erik Bitzek. 2018. Fatigue of Materials at Very High Numbers of Loading Cycles. Fatigue of Materials at Very High Numbers of Loading Cycles 25 48 .
Conrad W. Rosenbrock, Eric R. Homer, Gábor Csányi & Gus L. W. Hart. (2017) Discovering the building blocks of atomic systems using machine learning: application to grain boundaries. npj Computational Materials 3:1.
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J. Bach, J.J. Möller, M. Göken, E. Bitzek & H.W. Höppel. (2016) On the transition from plastic deformation to crack initiation in the high- and very high-cycle fatigue regimes in plain carbon steels. International Journal of Fatigue 93, pages 281-291.
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I. Adlakha & K.N. Solanki. (2016) Atomic-scale investigation of triple junction role on defects binding energetics and structural stability in α-Fe. Acta Materialia 118, pages 64-76.
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Liang Zhang, Cheng Lu & Kiet Tieu. (2016) A review on atomistic simulation of grain boundary behaviors in face-centered cubic metals. Computational Materials Science 118, pages 180-191.
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Yulia Buranova, Harald Rösner, Sergiy V. Divinski, Robert Imlau & Gerhard Wilde. (2016) Quantitative measurements of grain boundary excess volume from HAADF-STEM micrographs. Acta Materialia 106, pages 367-373.
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I. Adlakha & K. N. Solanki. (2015) Structural stability and energetics of grain boundary triple junctions in face centered cubic materials. Scientific Reports 5:1.
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P.R.M. van Beers, V.G. Kouznetsova, M.G.D. Geers, M.A. Tschopp & D.L. McDowell. (2015) A multiscale model of grain boundary structure and energy: From atomistics to a continuum description. Acta Materialia 82, pages 513-529.
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I. Adlakha, M.A. Tschopp & K.N. Solanki. (2014) The role of grain boundary structure and crystal orientation on crack growth asymmetry in aluminum. Materials Science and Engineering: A 618, pages 345-354.
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M. Rajagopalan, M. A. Tschopp & K. N. Solanki. (2013) Grain Boundary Segregation of Interstitial and Substitutional Impurity Atoms in Alpha-Iron. JOM 66:1, pages 129-138.
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M. A. Bhatia & K. N. Solanki. (2013) Energetics of vacancy segregation to symmetric tilt grain boundaries in hexagonal closed pack materials. Journal of Applied Physics 114:24.
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A. Gautam, C. Ophus, F. Lançon, V. Radmilovic & U. Dahmen. (2013) Atomic structure characterization of an incommensurate grain boundary. Acta Materialia 61:13, pages 5078-5086.
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Sebastián Echeverri Restrepo, Simón Tamayo Giraldo & Barend J Thijsse. (2013) A genetic algorithm for generating grain boundaries. Modelling and Simulation in Materials Science and Engineering 21:5, pages 055017.
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I. Adlakha, K.N. Solanki & M.A. Tschopp. 2013. TMS2013 Supplemental Proceedings. TMS2013 Supplemental Proceedings 753 758 .
Jany Thibault, Jean‐Luc Rouviere & Alain Bourret. 2006. Materials Science and Technology. Materials Science and Technology.
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M. A. Tschopp, K. N. Solanki, F. Gao, X. Sun, M. A. Khaleel & M. F. Horstemeyer. (2012) Probing grain boundary sink strength at the nanoscale: Energetics and length scales of vacancy and interstitial absorption by grain boundaries in -Fe . Physical Review B 85:6.
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Michael W. Finnis & Manfred Rühle. 2006. Materials Science and Technology. Materials Science and Technology.
B.M. Darinskii, Y. Kalinin & D.S. Sajko. (2006) Atomic Structure of the Intercrystalline General Type Boundaries. Mechanisms of the Grain Boundary Peak of Internal Friction. Premelting. Solid State Phenomena 115, pages 73-86.
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D. Wolf. 2001. Encyclopedia of Materials: Science and Technology. Encyclopedia of Materials: Science and Technology 3597 3609 .
Jany Thibault, Jean-Luc Rouviere & Alain Bourret. 2000. Handbook of Semiconductor Technology Set. Handbook of Semiconductor Technology Set 377 451 .
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V. Potin, P. Ruterana, G. Nouet, R. C. Pond & H. Morkoç. (2000) Mosaic growth of GaN on (0001) sapphire: A high-resolution electron microscopy and crystallographic study of threading dislocations from low-angle to high-angle grain boundaries. Physical Review B 61:8, pages 5587-5599.
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A. A. Nazarov, O. A. Shenderova & D. W. Brenner. (2000) Elastic models of symmetrical 〈001〉 and 〈011〉 tilt grain boundaries in diamond. Physical Review B 61:2, pages 928-936.
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J. D. Rittner & D. N. Seidman. (1996) 〈110〉 symmetric tilt grain-boundary structures in fcc metals with low stacking-fault energies. Physical Review B 54:10, pages 6999-7015.
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S. Paciornik, R. Kilaas, J. Turner & U. Dahmen. (1996) A pattern recognition technique for the analysis of grain boundary structure by HREM. Ultramicroscopy 62:1-2, pages 15-27.
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R. S. Hay. (2011) Orientation Relationships and Interfaces Between Low Symmetry Phases in The Yttria-Alumina System. MRS Proceedings 357.
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A.A. Nazarov, A.E. Romanov & R.Z. Valiev. (1993) On the structure, stress fields and energy of nonequilibrium grain boundaries. Acta Metallurgica et Materialia 41:4, pages 1033-1040.
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A.P. Sutton. (1992) Irrational interfaces. Progress in Materials Science 36, pages 167-202.
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D. Wolf. (1990) A broken-bond model for grain boundaries in face-centered cubic metals. Journal of Applied Physics 68:7, pages 3221-3236.
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A.A. Nazarov, A.E. Romanov & R.Z. Valiev. (1990) Incorporation model for the spreading of extrinsic grain boundary dislocations. Scripta Metallurgica et Materialia 24:10, pages 1929-1934.
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M. Khantha, V. Vitek & M. Goldman. (2011) Favored Boundaries in the Structural Unit Model of Grain Boundaries. MRS Proceedings 193.
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S.E Babcock & R.W Balluffi. (1989) Grain boundary kinetics—II. In situ observations of the role of grain boundary dislocations in high-angle boundary migration. Acta Metallurgica 37:9, pages 2367-2376.
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