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Original Articles

Continuum analysis of dislocation pile-ups: Influence of sources

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Pages 1185-1204 | Received 30 May 1997, Accepted 09 Sep 1997, Published online: 12 Aug 2009

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Read on this site (9)

Z. C. Cordero, B. E. Knight & C. A. Schuh. (2016) Six decades of the Hall–Petch effect – a survey of grain-size strengthening studies on pure metals. International Materials Reviews 61:8, pages 495-512.
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S. Chandra, N. Naveen Kumar, M. K. Samal, V. M. Chavan & R. J. Patel. (2016) Interaction of run-in edge dislocations with twist grain boundaries in Al-a molecular dynamics study. Philosophical Magazine 96:17, pages 1809-1831.
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Zahra Zamani, Siamak S. Shishvan & Ahmad Assempour. (2015) Effect of source strength on dislocation pileups in the presence of stress gradients. Philosophical Magazine 95:20, pages 2175-2197.
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Dabiao Liu, Yuming He & Bo Zhang. (2013) Towards a further understanding of dislocation pileups in the presence of stress gradients. Philosophical Magazine 93:18, pages 2340-2362.
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Lawrence H. Friedman. (2006) Exponent for Hall–Petch behaviour of ultra-hard multilayers. Philosophical Magazine 86:11, pages 1443-1481.
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L. Fang & L. H. Friedman. (2005) Strength of metallic multilayers at all length scales from analytic theory of discrete dislocation pileups. Philosophical Magazine 85:28, pages 3321-3355.
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Articles from other publishers (43)

R. Schouwenaars & L.A.I. Kestens. (2023) Dislocation pileups in small grains. International Journal of Plasticity 164, pages 103602.
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Dylan Agius, Anna Kareer, Abdullah Al Mamun, Christopher Truman, David M. Collins, Mahmoud Mostafavi & David Knowles. (2022) A crystal plasticity model that accounts for grain size effects and slip system interactions on the deformation of austenitic stainless steels. International Journal of Plasticity 152, pages 103249.
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Hai-Meng Zhang, De-Guang Shang, Xiao-Dong Liu & Yu Zhang. (2022) Fatigue damage healing model based on dislocation reverse-back under unconstraint vibration condition for copper film. Engineering Failure Analysis 134, pages 106023.
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Siwook Park, Woojin Cho, Byeong-Seok Jeong, Jinwook Jung, Simoon Sung, Hyuntaek Na, Sung-Il Kim, Myoung-Gyu Lee & Heung Nam Han. (2022) A dual-scale FE simulation of hole expansion test considering pre-damage from punching process. International Journal of Solids and Structures 236-237, pages 111312.
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Songjiang Lu, Qianhua Kan, Michael Zaiser, Zhenhuan Li, Guozheng Kang & Xu Zhang. (2022) Size-dependent yield stress in ultrafine-grained polycrystals: A multiscale discrete dislocation dynamics study. International Journal of Plasticity 149, pages 103183.
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Dylan Agius, Abdullah Al Mamun, Christopher Truman, Mahmoud Mostafavi & David Knowles. (2022) A method to extract slip system dependent information for crystal plasticity models. MethodsX 9, pages 101763.
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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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Siwook Park, Jinwook Jung, Woojin Cho, Byeong-Seok Jeong, Hyuntaek Na, Sung-Il Kim, Myoung-Gyu Lee & Heung Nam Han. (2021) Predictive dual-scale finite element simulation for hole expansion failure of ferrite-bainite steel. International Journal of Plasticity 136, pages 102900.
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Shuntaro Matsuyama & Enrique I. Galindo-Nava. (2020) A Unified Model for Plasticity in Ferritic, Martensitic and Dual-Phase Steels. Metals 10:6, pages 764.
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Siwook Park, Jinwook Jung, Kyung Il Kim, Hwangsun Kim, Sung-Il Kim, Kyu Hwan Oh, Myoung-Gyu Lee & Heung Nam Han. (2019) Practical microstructure-informed dual-scale simulation for predicting hole expansion failure of hyper-burring steel. International Journal of Mechanical Sciences 156, pages 297-311.
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Katrin Schulz & Markus Sudmanns. 2019. High Performance Computing in Science and Engineering ' 18. High Performance Computing in Science and Engineering ' 18 115 129 .
Siwook Park, Jinwook Jung, Sung II Kim, Seok-Jong Seo, Myoung-Gyu Lee & Heung Nam Han. (2018) Prediction of fracture behavior in hole expansion test using microstructure based dual-scale model. Journal of Physics: Conference Series 1063, pages 012018.
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Katrin Schulz & Markus Sudmanns. (2017) A mechanism-based homogenization strategy for the determination of flow stress and strain hardening. PAMM 17:1, pages 107-110.
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K Schulz, M Sudmanns & P Gumbsch. (2017) Dislocation-density based description of the deformation of a composite material. Modelling and Simulation in Materials Science and Engineering 25:6, pages 064003.
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Roman Kositski & Dan Mordehai. (2017) Role of dislocation pile-ups in nucleation-controlled size-dependent strength of Fe nanowires. Acta Materialia 136, pages 190-201.
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Ahmad Assempour, Siamak S. Shishvan & Zahra Zamani. (2016) Second order stress gradient plasticity with an application to thin foil bending. International Journal of Mechanics and Materials in Design 13:2, pages 321-334.
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S. Chandra, M.K. Samal, V.M. Chavan & R.J. Patel. (2016) An atomistic study of resistance offered by twist grain boundaries to incoming edge dislocation in FCC metals. Materials Letters 180, pages 11-14.
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Zahra Zamani, Siamak Soleymani Shishvan & Ahmad Assempour. (2016) Stress gradient interpretation of boundary layers in passivated thin films. International Journal of Non-Linear Mechanics 81, pages 139-146.
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Khanh Chau Le. (2016) Self-energy of dislocations and dislocation pileups. International Journal of Engineering Science 100, pages 1-7.
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Zhuo-Cheng Xie, Ting-Hong Gao, Xiao-Tian Guo & Quan Xie. (2015) Molecular dynamics simulation of nanocrystal formation and deformation behavior of Ti3Al alloy. Computational Materials Science 98, pages 245-251.
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Joshua PellegJoshua Pelleg. 2013. Mechanical Properties of Materials. Mechanical Properties of Materials 521 626 .
Jaap Moerman, Patricia Romano Triguero, Cem Tasan & Peter van Liempt. (2011) Evaluation of Geometrically Necessary Dislocations Density (GNDD) near Phase Boundaries in Dual Phase Steels by Means of EBSD. Materials Science Forum 702-703, pages 485-488.
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Rafael Schouwenaars, Marc Seefeldt & Paul Van Houtte. (2010) The stress field of an array of parallel dislocation pile-ups: Implications for grain boundary hardening and excess dislocation distributions. Acta Materialia 58:13, pages 4344-4353.
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Ray S. Fertig & Shefford P. Baker. (2009) Simulation of dislocations and strength in thin films: A review. Progress in Materials Science 54:6, pages 874-908.
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D. Kiener, C. Motz & G. Dehm. (2008) Dislocation-induced crystal rotations in micro-compressed single crystal copper columns. Journal of Materials Science 43:7, pages 2503-2506.
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Daniel Kiener, Martin Rester, Stefan Scheriau, Bo Yang, Reinhard Pippan & Gerhard Dehm. (2007) Influence of external and internal length scale on the flow stress of copper. International Journal of Materials Research 98:11, pages 1047-1053.
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D. Kiener, C. Motz, M. Rester, M. Jenko & G. Dehm. (2007) FIB damage of Cu and possible consequences for miniaturized mechanical tests. Materials Science and Engineering: A 459:1-2, pages 262-272.
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V. L. Berdichevsky & K. C. Le. (2007) Dislocation nucleation and work hardening in anti-plane constrained shear. Continuum Mechanics and Thermodynamics 18:7-8, pages 455-467.
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D. Kiener, C. Motz, T. Schöberl, M. Jenko & G. Dehm. (2006) Determination of Mechanical Properties of Copper at the Micron Scale. Advanced Engineering Materials 8:11, pages 1119-1125.
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Marc Legros, Gerhard Dehm & T. John Balk. (2011) In-Situ TEM Study of Plastic Stress Relaxation Mechanisms and Interface Effects in Metallic Films. MRS Proceedings 875.
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Lawrence H. Friedman. (2004) Towards a full analytic treatment of the Hall–Petch behavior in multilayers: putting the pieces together. Scripta Materialia 50:6, pages 763-767.
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P.C. Wo & A.H.W. Ngan. (2011) Investigation of slip transmission behavior across grain boundaries in polycrystalline Ni 3 Al using nanoindentation . Journal of Materials Research 19:1, pages 189-201.
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P.C. Wo & A.H.W. Ngan. (2011) Investigation of slip transmission behavior across grain boundaries in polycrystalline Ni3Al using nanoindentation. Journal of Materials Research 19:01, pages 189-201.
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S B Biner & J R Morris. (2002) A two-dimensional discrete dislocation simulation of the effect of grain size on strengthening behaviour. Modelling and Simulation in Materials Science and Engineering 10:6, pages 617-635.
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M. Hommel & O. Kraft. (2001) Deformation behavior of thin copper films on deformable substrates. Acta Materialia 49:19, pages 3935-3947.
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Lawrence H. Friedman & D. C. Chrzan. (1998) Scaling Theory of the Hall-Petch Relation for Multilayers. Physical Review Letters 81:13, pages 2715-2718.
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T.H. Chou, H.W. Chang, Du XH, W.S. Chuang, W.P. Li & Huang JC. (2022) Quantitative Analyses of Hetero-Deformation Induced Strengthening in Bimodal Grain Structure. SSRN Electronic Journal.
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