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Original Articles

Analysis of 3-D network structures

Pages 3-31 | Received 06 Jan 2003, Published online: 21 Feb 2007

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P.R. Rios & M.E. Glicksman. (2015) Grain boundary, triple junction and quadruple point mobility controlled normal grain growth. Philosophical Magazine 95:19, pages 2092-2127.
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Sina Shahandeh & Matthias Militzer. (2013) Grain boundary curvature and grain growth kinetics with particle pinning. Philosophical Magazine 93:24, pages 3231-3247.
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L.A. Barrales-Mora, G. Gottstein & L.S. Shvindlerman. (2012) Effect of finite boundary junction mobility on the growth rate of grains in 3D polycrystals. Philosophical Magazine 92:9, pages 1046-1057.
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M.E. Glicksman, P.R. Rios & D.J. Lewis. (2009) Mean width and caliper characteristics of network polyhedra. Philosophical Magazine 89:4, pages 389-403.
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R. Huang & J. Pan. (2007) Topological characterization of second-phase structure in heterogeneous materials. Philosophical Magazine Letters 87:7, pages 461-474.
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M. E. Glicksman & P. R. Rios. (2007) Minimal network partitions using average -hedra. Philosophical Magazine 87:2, pages 189-208.
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A. Morawiec. (2006) Surface area of coarsening cellular structures. Philosophical Magazine Letters 86:1, pages 37-45.
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. (2005) The evolution of surfaces. Philosophical Magazine 85:1, pages 1-3.
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M. E. Glicksman & P. R. Rios. (2022) Microstructural characteristics of 3-d networks. International Journal of Materials Research 96:10, pages 1099-1105.
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E. Eren & J. K. Mason. (2021) Constant of motion for ideal grain growth in three dimensions. Physical Review B 104:14.
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Reza Mahjoub, Michael Ferry & Nikki Stanford. (2019) Local topology and its effects on grain boundary and solute segregation in HCP magnesium. Materialia 6, pages 100258.
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Kunok Chang & Heebaek Chang. (2019) Effect of grain boundary energy anisotropy in 2D and 3D grain growth process. Results in Physics 12, pages 1262-1268.
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Ernst Gamsjäger, Daniel Ogris & Jiří Svoboda. (2018) Kinetics of Grain Boundary Networks Controlled by Triple Junction and Grain Boundary Mobility. Metals 8:12, pages 977.
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Asad Ullah, Musarat Shaheen, Asad Khan, Matiullah Khan & Khalid Iqbal. (2018) Evaluation of topology-dependent growth rate equations of three-dimensional grains using realistic microstructure simulations. Materials Research Express 6:2, pages 026523.
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Reza Mahjoub, Kevin J. Laws, Nikki Stanford & Michael Ferry. (2018) General trends between solute segregation tendency and grain boundary character in aluminum - An ab inito study. Acta Materialia 158, pages 257-268.
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Paul W. Hoffrogge & Luis A. Barrales-Mora. (2017) Grain-resolved kinetics and rotation during grain growth of nanocrystalline Aluminium by molecular dynamics. Computational Materials Science 128, pages 207-222.
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Xiaoting Zhong, David J. Rowenhorst, Hossein Beladi & Gregory S. Rohrer. (2017) The five-parameter grain boundary curvature distribution in an austenitic and ferritic steel. Acta Materialia 123, pages 136-145.
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Toru Oyama, Chihiro Watanabe & Ryoichi Monzen. (2016) Growth kinetics of ellipsoidal ω-precipitates in a Ti–20 wt%Mo alloy under compressive stress. Journal of Materials Science 51:19, pages 8880-8887.
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Weihua Xue, Hao Wang, Guoquan Liu, Li Meng, Guang Ma & Minnan Feng. (2016) The topologies of contacting grains in two and three dimensions. Materials Letters 172, pages 162-165.
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Dana Zöllner. (2016) Grain microstructural evolution in 2D and 3D polycrystals under triple junction energy and mobility control. Computational Materials Science 118, pages 325-337.
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P.G. Callahan, M. Groeber & M. De Graef. (2016) Towards a quantitative comparison between experimental and synthetic grain structures. Acta Materialia 111, pages 242-252.
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D. Zöllner. 2016. Reference Module in Materials Science and Materials Engineering. Reference Module in Materials Science and Materials Engineering.
Jeremy K. Mason, Emanuel A. Lazar, Robert D. MacPherson & David J. Srolovitz. (2015) Geometric and topological properties of the canonical grain-growth microstructure. Physical Review E 92:6.
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Peter Streitenberger & Dana Zöllner. (2015) von Neumann–Mullins-type evolution equations for triple and quadruple junction controlled grain growth. Scripta Materialia 109, pages 52-55.
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Francis Delannay. (2015) Sintering Kinetics Across Pore Closure Transition Accounting for Continuous Increase in Grain Coordination with Density. Journal of the American Ceramic Society 98:11, pages 3476-3482.
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Francis Delannay. (2015) Influence of Dihedral Angle and Grain Coordination on Densification Rate During Intermediate and Final Sintering Stages. Journal of the American Ceramic Society 98:11, pages 3469-3475.
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Peter Streitenberger & Dana Zöllner. (2015) The envelope of size distributions in Ostwald ripening and grain growth. Acta Materialia 88, pages 334-345.
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I.M. McKenna, S.O. Poulsen, E.M. Lauridsen, W. Ludwig & P.W. Voorhees. (2014) Grain growth in four dimensions: A comparison between simulation and experiment. Acta Materialia 78, pages 125-134.
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Peter Streitenberger & Dana Zöllner. (2014) Triple junction controlled grain growth in two-dimensional polycrystals and thin films: Self-similar growth laws and grain size distributions. Acta Materialia 78, pages 114-124.
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Burton R. Patterson, David J. Rowenhorst, Veena Tikare, R.T. DeHoff & Tyler M. Kaub. (2014) Affinities for topological arrangements in grain structures. Acta Materialia 79, pages 411-420.
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Dana Zöllner. (2014) A phenomenological approach to investigate nanocrystalline grain growth. Computational Materials Science 92, pages 114-119.
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Dana Zöllner & Paulo Rangel Rios. (2014) Investigating the von Neumann–Mullins relation under triple junction dragging. Acta Materialia 70, pages 290-297.
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Trevor Keller, Barbara Cutler, Emanuel A. Lazar, Gregory Yauney & Daniel J. Lewis. (2014) Comparative grain topology. Acta Materialia 66, pages 414-423.
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G. Spanos & W.T. Reynolds. 2014. Physical Metallurgy. Physical Metallurgy 1073 1112 .
A. E. Roth, C. D. Jones & D. J. Durian. (2013) Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content. Physical Review E 87:4.
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Tao Xu, Sanket Sarkar, Mo Li & Yunzhi Wang. (2013) Quantifying microstructures in isotropic grain growth from phase field modeling: Topological properties. Acta Materialia 61:7, pages 2450-2459.
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Carl D. Modes & Randall D. Kamien. (2013) Spherical foams in flat space. Soft Matter 9:46, pages 11078.
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Kunok Chang, Carl E Krill III, Qiang Du & Long-Qing Chen. (2012) Evaluating microstructural parameters of three-dimensional grains generated by phase-field simulation or other voxel-based techniques. Modelling and Simulation in Materials Science and Engineering 20:7, pages 075009.
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D.J. RowenhorstP.W. Voorhees. (2012) Measurement of Interfacial Evolution in Three Dimensions. Annual Review of Materials Research 42:1, pages 105-124.
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Victor L. Berdichevsky. (2012) Thermodynamics of microstructure evolution: Grain growth. International Journal of Engineering Science 57, pages 50-78.
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Hao Wang, Guoquan Liu, Asad Ullah & Junhua Luan. (2012) Topological correlations of three-dimensional grains. Applied Physics Letters 101:4, pages 041910.
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J. H. Luan, G. Q. Liu, H. Wang & A. Ullah. (2012) A note on grain topology-size relationship of three-dimensional polycrystalline microstructures. EPL (Europhysics Letters) 99:2, pages 28001.
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Trevor Keller, Barb Cutler, Martin Glicksman & Dan Lewis. 2012. 1 st International Conference on 3D Materials Science . 1 st International Conference on 3D Materials Science 97 106 .
Peter Streitenberger & Dana Zöllner. (2012) Grain Size Distributions and Evolution Equations in Nanocrystalline Grain Growth. Materials Science Forum 715-716, pages 806-811.
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Giuseppe Carlo Abbruzzese. (2012) Derivation of Statistical Model of Grain Growth Based on 3-D Von Neumann Equation. Materials Science Forum 715-716, pages 427-436.
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Lasar S. Shvindlerman & Günter Gottstein. (2012) Thermodynamic and Kinetic Properties of Grain Boundary Junctions. Materials Science Forum 715-716, pages 243-250.
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Reza Darvishi Kamachali & Ingo Steinbach. (2012) 3-D phase-field simulation of grain growth: Topological analysis versus mean-field approximations. Acta Materialia 60:6-7, pages 2719-2728.
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Trevor Keller, Barb Cutler, Martin Glicksman & Dan Lewis. 2016. Proceedings of the 1st International Conference on 3D Materials Science. Proceedings of the 1st International Conference on 3D Materials Science 97 106 .
H. Wang, G. Q. Liu, X. Y. Song & J. H. Luan. (2011) Topology-dependent description of grain growth. EPL (Europhysics Letters) 96:3, pages 38003.
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Emanuel A. Lazar, Jeremy K. Mason, Robert D. MacPherson & David J. Srolovitz. (2011) A more accurate three-dimensional grain growth algorithm. Acta Materialia 59:17, pages 6837-6847.
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Peter Streitenberger & Dana Zöllner. (2011) Evolution equations and size distributions in nanocrystalline grain growth. Acta Materialia 59:10, pages 4235-4243.
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D.J. Rowenhorst, A.C. Lewis & G. Spanos. (2010) Three-dimensional analysis of grain topology and interface curvature in a β-titanium alloy. Acta Materialia 58:16, pages 5511-5519.
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Hiroyuki Shima. (2010) Growth of Aqueous Foam on Flexible Membranes. Journal of the Physical Society of Japan 79:7, pages 074601.
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L.A. Barrales Mora, V. Mohles, G. Gottstein & L.S. Shvindlerman. 2009. Fundamentals of Modeling for Metals Processing. Fundamentals of Modeling for Metals Processing 282 296 .
D. A. Molodov & L. S. Shvindlerman. (2009) Interface Migration in Metals (IMM):“Vingt Ans Après” (Twenty Years Later). International Journal of Materials Research 100:4, pages 461-482.
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Fatma Uyar, Seth R. Wilson, Jason Gruber, Sukbin Lee, Stephen Sintay, Anthony D. Rollett & David J. Srolovitz. (2009) Testing a curvature driven moving finite element grain growth model with the generalized three dimensional von Neumann relation. International Journal of Materials Research 100:4, pages 543-549.
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Martin E. Glicksman, Paulo R. Rios & Daniel J. Lewis. (2009) Linear measures for polyhedral networks. International Journal of Materials Research 100:4, pages 536-542.
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J.N. Swamy, C. Crofcheck & M.P. Mengüç. (2009) Time dependent scattering properties of slow decaying liquid foams. Colloids and Surfaces A: Physicochemical and Engineering Aspects 338:1-3, pages 80-86.
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P.R. Rios & E. Villa. (2009) Transformation kinetics for inhomogeneous nucleation. Acta Materialia 57:4, pages 1199-1208.
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L.A. Barrales Mora, G. Gottstein & L.S. Shvindlerman. (2008) Three-dimensional grain growth: Analytical approaches and computer simulations. Acta Materialia 56:20, pages 5915-5926.
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C.S. Pande, K.P. Cooper & G.B. McFadden. (2008) Grain size distribution in two dimensions in the long time limit. Acta Materialia 56:18, pages 5304-5311.
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Hao Wang & Guoquan Liu. (2008) Evaluation of growth rate equations of three-dimensional grains using large-scale Monte Carlo simulation. Applied Physics Letters 93:13.
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C.S. Pande & K.P. Cooper. (2008) Self-similar grain size distribution in two dimensions: Analytical solution. Acta Materialia 56:16, pages 4200-4205.
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Markus Ames, Jürgen Markmann, Rudolf Karos, Andreas Michels, Andreas Tschöpe & Rainer Birringer. (2008) Unraveling the nature of room temperature grain growth in nanocrystalline materials. Acta Materialia 56:16, pages 4255-4266.
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Carl D. Modes & Randall D. Kamien. (2008) Geometrical frustration in two dimensions: Idealizations and realizations of a hard-disk fluid in negative curvature. Physical Review E 77:4.
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L.A. Barrales Mora, V. Mohles, L.S. Shvindlerman & G. Gottstein. (2008) Effect of a finite quadruple junction mobility on grain microstructure evolution: Theory and simulation. Acta Materialia 56:5, pages 1151-1164.
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P.R. Rios & M.E. Glicksman. (2008) Polyhedral model for self-similar grain growth. Acta Materialia 56:5, pages 1165-1171.
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D. Zöllner & P. Streitenberger. 2008. Micro-Macro-interaction. Micro-Macro-interaction 3 18 .
Paulo Rangel Rios & Martin Eden Glicksman. (2007) Topological and metrical aspects of normal and abnormal grain growth. Materials Research 10:4, pages 371-375.
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Martin E. Glicksman, Paulo Rangel Rios & Daniel Lewis. (2007) Kinetics of a Grain in a Textured Matrix. Materials Science Forum 558-559, pages 625-632.
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Dana Zöllner & Peter Streitenberger. (2007) Monte Carlo Potts Model Simulation and Statistical Theory of 3D Grain Growth. Materials Science Forum 558-559, pages 1219-1224.
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Peter Streitenberger & Dana Zöllner. (2007) Topology Based Growth Law and New Analytical Grain Size Distribution Function of 3D Grain Growth. Materials Science Forum 558-559, pages 1183-1188.
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P.R. Rios, G.S. Fonseca, J.F.C. Lins & F.P.M. Augusto. (2007) Grain curvature measurements: A comparison with geometrical models. Scripta Materialia 57:8, pages 727-730.
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J. Svoboda & F.D. Fischer. (2007) A new approach to modelling of non-steady grain growth. Acta Materialia 55:13, pages 4467-4474.
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Dana Zöllner & Peter Streitenberger. (2007) Normal Grain Growth in Three Dimensions: Monte Carlo Potts Model Simulation and Mean-Field Theory. Materials Science Forum 550, pages 589-594.
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A. Morawiec. (2007) Comment on “A growth rule for regular polygons with arcs as sides”. Scripta Materialia 57:2, pages 177-178.
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Robert D. MacPherson & David J. Srolovitz. (2007) The von Neumann relation generalized to coarsening of three-dimensional microstructures. Nature 446:7139, pages 1053-1055.
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Paulo Rangel Rios & Martin E. Glicksman. (2007) Abnormal Grain Growth Topology and Kinetics. Materials Science Forum 539-543, pages 2401-2406.
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Paulo R. Rios & Martin E. Glicksman. (2006) Topological theory of abnormal grain growth. Acta Materialia 54:19, pages 5313-5321.
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Peter Streitenberger & Dana Zöllner. (2006) Effective growth law from three-dimensional grain growth simulations and new analytical grain size distribution. Scripta Materialia 55:5, pages 461-464.
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Paulo Rangel Rios & Martin Eden Glicksman. (2006) Modeling polycrystals with regular polyhedra. Materials Research 9:2, pages 231-236.
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P.R. Rios, T.G. Dalpian, V.S. Brandão, J.A. Castro & A.C.L. Oliveira. (2006) Comparison of analytical grain size distributions with three-dimensional computer simulations and experimental data. Scripta Materialia 54:9, pages 1633-1637.
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Dana Zöllner & Peter Streitenberger. (2006) Three-dimensional normal grain growth: Monte Carlo Potts model simulation and analytical mean field theory. Scripta Materialia 54:9, pages 1697-1702.
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P.R. Rios & M.E. Glicksman. (2006) Self-similar evolution of network structures. Acta Materialia 54:4, pages 1041-1051.
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M. E. Glicksman & P. R. Rios. (2005) Microstructural characteristics of 3-d networks. Zeitschrift für Metallkunde 96:10, pages 1099-1105.
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M. E. Glicksman. (2005) Energetics of polycrystals. Journal of Materials Science 40:9-10, pages 2149-2154.
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