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Philosophical Magazine Volume 87, 2007 - Issue 8-9: Density-Based Modelling of Dislocations
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Original Articles

Modelling size effects using 3D density-based dislocation dynamics

M. Zaiser Institute for Materials and Processes, The University of Edinburgh, The King's Buildings, Sanderson Building, Edinburgh EH9 3JL, UKCorrespondence[email protected]
,
N. Nikitas Institute for Materials and Processes, The University of Edinburgh, The King's Buildings, Sanderson Building, Edinburgh EH9 3JL, UK; Polytechnic School, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece
,
T. Hochrainer Institut für Zuverlässigkeit von Bauteilen und Systemen, Universität Karlsruhe (TH), Kaiserstr. 12, 76131 Karlsruhe, Germany
&
E. C. Aifantis Polytechnic School, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece
Pages 1283-1306 | Received 15 Jun 2006, Accepted 12 Jul 2006, Published online: 04 Dec 2010

Citations (25)

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Read on this site (3)

Prasenjit Khanikar, Arun Kumar & Anandh Subramaniam. (2011) Image forces on edge dislocations: a revisit of the fundamental concept with special regard to nanocrystals. Philosophical Magazine 91:5, pages 730-750.
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Jie Deng & Anter El-Azab. (2010) Temporal statistics and coarse graining of dislocation ensembles. Philosophical Magazine 90:27-28, pages 3651-3678.
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S. Sandfeld, T. Hochrainer, P. Gumbsch & M. Zaiser. (2010) Numerical implementation of a 3D continuum theory of dislocation dynamics and application to micro-bending. Philosophical Magazine 90:27-28, pages 3697-3728.
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Articles from other publishers (22)

Xu Zhang, Jianfeng Zhao, Guozheng Kang & Michael Zaiser. (2023) Geometrically necessary dislocations and related kinematic hardening in gradient grained materials: A nonlocal crystal plasticity study. International Journal of Plasticity 163, pages 103553.
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Xi Luo & Michael Zaiser. (2023) A computationally efficient implementation of continuum dislocation dynamics: Formulation and application to ultrafine-grained Mg polycrystals. Journal of the Mechanics and Physics of Solids 172, pages 105166.
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Péter Dusán Ispánovity, Stefanos Papanikolaou & István Groma. (2020) Emergence and role of dipolar dislocation patterns in discrete and continuum formulations of plasticity. Physical Review B 101:2.
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Mehran Monavari & Michael Zaiser. (2018) Annihilation and sources in continuum dislocation dynamics. Materials Theory 2:1.
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M. Khadyko, C.D. Marioara, I.G. Ringdalen, S. Dumoulin & O.S. Hopperstad. (2016) Deformation and strain localization in polycrystals with plastically heterogeneous grains. International Journal of Plasticity 86, pages 128-150.
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H.S. Leung & A.H.W. Ngan. (2016) Dislocation-density function dynamics – An all-dislocation, full-dynamics approach for modeling intensive dislocation structures. Journal of the Mechanics and Physics of Solids 91, pages 172-203.
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Thomas Hochrainer. (2016) Thermodynamically consistent continuum dislocation dynamics. Journal of the Mechanics and Physics of Solids 88, pages 12-22.
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Nasrin Taheri-Nassaj & Hussein M. Zbib. (2015) On dislocation pileups and stress-gradient dependent plastic flow. International Journal of Plasticity 74, pages 1-16.
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Stefan Sandfeld, Ekkachai Thawinan & Christian Wieners. (2015) A link between microstructure evolution and macroscopic response in elasto-plasticity: Formulation and numerical approximation of the higher-dimensional continuum dislocation dynamics theory. International Journal of Plasticity 72, pages 1-20.
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H.S. Leung, P.S.S. Leung, B. Cheng & A.H.W. Ngan. (2015) A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions. International Journal of Plasticity 67, pages 1-25.
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Thomas Hochrainer, Stefan Sandfeld, Michael Zaiser & Peter Gumbsch. (2014) Continuum dislocation dynamics: Towards a physical theory of crystal plasticity. Journal of the Mechanics and Physics of Solids 63, pages 167-178.
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Håkan Hallberg & Matti Ristinmaa. (2013) Microstructure evolution influenced by dislocation density gradients modeled in a reaction–diffusion system. Computational Materials Science 67, pages 373-383.
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Katerina E. Aifantis, Daniel Weygand, Christian Motz, Nikolaos Nikitas & Michael Zaiser. (2011) Modeling microbending of thin films through discrete dislocation dynamics, continuum dislocation theory, and gradient plasticity. Journal of Materials Research 27:3, pages 612-618.
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Stefan Sandfeld, Thomas Hochrainer, Michael Zaiser & Peter Gumbsch. (2011) Continuum modeling of dislocation plasticity: Theory, numerical implementation, and validation by discrete dislocation simulations. Journal of Materials Research 26:5, pages 623-632.
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M. C. Cai, H. J. Shi & T. Yu. (2010) A dislocation-based constitutive description of strain-rate effect on the deformation resistance of metals. Journal of Materials Science 46:4, pages 1087-1094.
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M.I. Idiart, V.S. Deshpande, N.A. Fleck & J.R. Willis. (2009) Size effects in the bending of thin foils. International Journal of Engineering Science 47:11-12, pages 1251-1264.
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Jie Deng & Anter El-Azab. (2009) Mathematical and computational modelling of correlations in dislocation dynamics. Modelling and Simulation in Materials Science and Engineering 17:7, pages 075010.
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Péter Dusán Ispánovity & István Groma. (2008) The probability distribution of internal stresses in externally loaded 2D dislocation systems. Journal of Statistical Mechanics: Theory and Experiment 2008:12, pages P12009.
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Péter Dusán Ispánovity, István Groma & Géza Györgyi. (2008) Evolution of the correlation functions in two-dimensional dislocation systems. Physical Review B 78:2.
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B. C. Larson, J. Z. Tischler, Anter El-Azab & Wenjun Liu. (2008) Dislocation Density Tensor Characterization of Deformation Using 3D X-Ray Microscopy. Journal of Engineering Materials and Technology 130:2.
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Jan Kratochvíl & Radan Sedláček. (2008) Statistical foundation of continuum dislocation plasticity. Physical Review B 77:13.
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Jie Deng & Anter El-Azab. (2008) Dislocation pair correlations from dislocation dynamics simulations. Journal of Computer-Aided Materials Design 14:S1, pages 295-307.
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