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

A three-dimensional dislocation field crystal plasticity approach applied to miniaturized structures

C. J. Bayley¶ Netherlands Institute for Metals Research, Mekelweg 2, 2628 CD Delft, The NetherlandsView further author information
,
W. A. M. Brekelmans Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
&
M. G. D. Geers Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The NetherlandsCorrespondence[email protected]
Pages 1361-1378 | Received 01 May 2006, Accepted 18 Aug 2006, Published online: 04 Dec 2010

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Swantje Bargmann, Magnus Ekh, Kenneth Runesson & Bob Svendsen. (2010) Modeling of polycrystals with gradient crystal plasticity: A comparison of strategies. Philosophical Magazine 90:10, pages 1263-1288.
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S. Forest. (2008) Some links between Cosserat, strain gradient crystal plasticity and the statistical theory of dislocations. Philosophical Magazine 88:30-32, pages 3549-3563.
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Articles from other publishers (34)

M. Ryś, S. Stupkiewicz & H. Petryk. (2022) Micropolar regularization of crystal plasticity with the gradient-enhanced incremental hardening law. International Journal of Plasticity 156, pages 103355.
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Aaditya Lakshmanan, Mohammadreza Yaghoobi, Krzysztof S. Stopka & Veera Sundararaghavan. (2022) Crystal plasticity finite element modeling of grain size and morphology effects on yield strength and extreme value fatigue response. Journal of Materials Research and Technology 19, pages 3337-3354.
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S. Gu, J. Zhao, T. Ma, T. Xu & B. Yu. (2022) Modeling and analysis of grain morphology effects on deformation response based on crystal plasticity finite element method. Materialwissenschaft und Werkstofftechnik 53:7, pages 770-780.
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E. Nieto-Valeiras, S. Haouala & J. LLorca. (2022) On the effect of slip transfer at grain boundaries on the strength of FCC polycrystals. European Journal of Mechanics - A/Solids 91, pages 104427.
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Jipeng Zhao, Sendong Gu, Tianju Ma, Bin Yu, Ruijie Ouyang & Jianjun Zhang. (2021) Crystal Plasticity Simulation of Grain Size Effect on Deformation Behavior in Face Center Cubic Polycrystal. Journal of Nanoelectronics and Optoelectronics 16:9, pages 1450-1457.
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Farhan Javaid, Habib Pouriayevali & Karsten Durst. (2021) Dislocation–grain boundary interactions: recent advances on the underlying mechanisms studied via nanoindentation testing. Journal of Materials Research 36:12, pages 2545-2557.
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G. Zhou, W. Jeong, E.R. Homer, D.T. Fullwood, M.G. Lee, J.H. Kim, H. Lim, H. Zbib & R.H. Wagoner. (2020) A predictive strain-gradient model with no undetermined constants or length scales. Journal of the Mechanics and Physics of Solids 145, pages 104178.
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Sibo Yuan, Laurent Duchêne, Clément Keller, Eric Hug & Anne-Marie Habraken. (2020) Tunable surface boundary conditions in strain gradient crystal plasticity model. Mechanics of Materials 145, pages 103393.
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M. Ryś, S. Forest & H. Petryk. (2020) A micromorphic crystal plasticity model with the gradient-enhanced incremental hardening law. International Journal of Plasticity 128, pages 102655.
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S. Haouala, R. Alizadeh, T.R. Bieler, J. Segurado & J. LLorca. (2020) Effect of slip transmission at grain boundaries in Al bicrystals. International Journal of Plasticity 126, pages 102600.
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S. Haouala, S. Lucarini, J. LLorca & J. Segurado. (2020) Simulation of the Hall-Petch effect in FCC polycrystals by means of strain gradient crystal plasticity and FFT homogenization. Journal of the Mechanics and Physics of Solids 134, pages 103755.
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Sarra Haouala, Javier Segurado & Javier LLorca. (2018) An analysis of the influence of grain size on the strength of FCC polycrystals by means of computational homogenization. Acta Materialia 148, pages 72-85.
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Jae-Ho Jung, Kyung-Mox Cho & Yoon Suk Choi. (2017) Strain Gradient Crystal Plasticity Finite Element Modeling for the Compression Behaviors of Single Crystals. Korean Journal of Materials Research 27:12, pages 679-687.
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M. Kooiman, M. Hütter & M.G.D. Geers. (2016) Free energy of dislocations in a multi-slip geometry. Journal of the Mechanics and Physics of Solids 88, pages 267-273.
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Shoudong Chen, Xianghua Liu & Lizhong Liu. (2015) Effects of grain size and heterogeneity on the mechanical behavior of foil rolling. International Journal of Mechanical Sciences 100, pages 226-236.
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M. Kooiman, M. Hütter & M.G.D. Geers. (2015) Microscopically derived free energy of dislocations. Journal of the Mechanics and Physics of Solids 78, pages 186-209.
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Yoon Suk Choi, Kyung-Mox Cho, Dae-Geun Nam & Il-Dong Choi. (2015) Modeling the Hall-Petch Relation of Ni-Base Polycrystalline Superalloys Using Strain-Gradient Crystal Plasticity Finite Element Method. Korean Journal of Materials Research 25:2, pages 81-89.
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I. Ertürk, J. A. W. van Dommelen & M. G. D. Geers. (2014) Gradient crystal plasticity modelling of anelastic effects in particle strengthened metallic thin films. Meccanica 49:11, pages 2657-2685.
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Edgar Husser, Erica Lilleodden & Swantje Bargmann. (2014) Computational modeling of intrinsically induced strain gradients during compression of c-axis-oriented magnesium single crystal. Acta Materialia 71, pages 206-219.
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M Kooiman, M Hütter & M G D Geers. (2014) Collective behaviour of dislocations in a finite medium. Journal of Statistical Mechanics: Theory and Experiment 2014:4, pages P04028.
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N. M. Cordero, S. Forest & E. P. Busso. (2013) Micromorphic modelling of grain size effects in metal polycrystals. GAMM-Mitteilungen 36:2, pages 186-202.
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İ. Ertürk, K. Gao, J. Bielen, J.A.W. van Dommelen & M.G.D. Geers. (2013) Crystal plasticity based modeling of time and scale dependent behavior of thin films. GAMM-Mitteilungen 36:2, pages 161-185.
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J.A. Grogan, S.B. Leen & P.E. McHugh. (2013) Influence of statistical size effects on the plastic deformation of coronary stents. Journal of the Mechanical Behavior of Biomedical Materials 20, pages 61-76.
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B.D. Reddy, C. Wieners & B. Wohlmuth. (2012) Finite element analysis and algorithms for single‐crystal strain‐gradient plasticity. International Journal for Numerical Methods in Engineering 90:6, pages 784-804.
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Nicolas M. Cordero, Samuel Forest & Esteban P. Busso. (2012) Generalised continuum modelling of grain size effects in polycrystals. Comptes Rendus Mécanique 340:4-5, pages 261-274.
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N.M. Cordero, S. Forest, E.P. Busso, S. Berbenni & M. Cherkaoui. (2012) Grain size effects on plastic strain and dislocation density tensor fields in metal polycrystals. Computational Materials Science 52:1, pages 7-13.
Crossref
Samuel Forest. 2012. Generalized Continua and Dislocation Theory. Generalized Continua and Dislocation Theory 181 287 .
B. D. Reddy. (2011) The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. Part 2: single-crystal plasticity. Continuum Mechanics and Thermodynamics 23:6, pages 551-572.
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Haidong Fan, Zhenhuan Li, Minsheng Huang & Xiong Zhang. (2011) Thickness effects in polycrystalline thin films: Surface constraint versus interior constraint. International Journal of Solids and Structures 48:11-12, pages 1754-1766.
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Y.-L. ShenY.-L. Shen. 2010. Constrained Deformation of Materials. Constrained Deformation of Materials 35 76 .
Lorenzo Bardella. (2009) A comparison between crystal and isotropic strain gradient plasticity theories with accent on the role of the plastic spin. European Journal of Mechanics - A/Solids 28:3, pages 638-646.
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Lorenzo Bardella & Alessandro Giacomini. (2008) Influence of material parameters and crystallography on the size effects describable by means of strain gradient plasticity. Journal of the Mechanics and Physics of Solids 56:9, pages 2906-2934.
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P.J.M. Janssen, J.P.M. Hoefnagels, Th.H. de Keijser & M.G.D. Geers. (2008) Processing induced size effects in plastic yielding upon miniaturisation. Journal of the Mechanics and Physics of Solids 56:8, pages 2687-2706.
Crossref
Y.-L. Shen. (2008) Externally constrained plastic flow in miniaturized metallic structures: A continuum-based approach to thin films, lines, and joints. Progress in Materials Science 53:5, pages 838-891.
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