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Original Articles

The effects of grain size and dislocation source density on the strengthening behaviour of polycrystals: a two-dimensional discrete dislocation simulation

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Pages 3677-3690 | Received 15 Aug 2002, Accepted 15 May 2003, Published online: 12 May 2010

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Siamak Soleymani Shishvan & Babak Moghaddam. (2016) Displacement field of doubly periodic array of dislocation dipoles in elastically anisotropic media. Philosophical Magazine 96:3, pages 230-252.
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Pascale El Ters & Mutasem A. Shehadeh. (2023) On the investigation of size effect in bcc α-iron under high strain rate and high temperature: Multiscale dislocations dynamics simulations. European Journal of Mechanics - A/Solids 97, pages 104779.
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Ricardo A. Lebensohn & Alan Needleman. (2016) Numerical implementation of non-local polycrystal plasticity using fast Fourier transforms. Journal of the Mechanics and Physics of Solids 97, pages 333-351.
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Minsheng Huang, Zhenhuan Li & Jie Tong. (2014) The influence of dislocation climb on the mechanical behavior of polycrystals and grain size effect at elevated temperature. International Journal of Plasticity 61, pages 112-127.
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H. Lim, M.G. Lee, J.H. Kim, B.L. Adams & R.H. Wagoner. (2011) Simulation of polycrystal deformation with grain and grain boundary effects. International Journal of Plasticity 27:9, pages 1328-1354.
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Nicolas Nicaise, Stéphane Berbenni, Francis Wagner, Marcel Berveiller & Xavier Lemoine. (2011) Coupled effects of grain size distributions and crystallographic textures on the plastic behaviour of IF steels. International Journal of Plasticity 27:2, pages 232-249.
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Christophe de Sansal, Benoit Devincre & Ladislas P. Kubin. (2009) Grain Size Strengthening in Microcrystalline Copper: A Three-Dimensional Dislocation Dynamics Simulation. Key Engineering Materials 423, pages 25-32.
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Zhenhuan Li, Chuantao Hou, Minsheng Huang & Chaojun Ouyang. (2009) Strengthening mechanism in micro-polycrystals with penetrable grain boundaries by discrete dislocation dynamics simulation and Hall–Petch effect. Computational Materials Science 46:4, pages 1124-1134.
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D.S. Balint, V.S. Deshpande, A. Needleman & E. Van der Giessen. (2008) Discrete dislocation plasticity analysis of the grain size dependence of the flow strength of polycrystals. International Journal of Plasticity 24:12, pages 2149-2172.
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A.A. Benzerga. (2008) An analysis of exhaustion hardening in micron-scale plasticity. International Journal of Plasticity 24:7, pages 1128-1157.
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Wing Kam Liu & Cahal McVeigh. (2007) Predictive multiscale theory for design of heterogeneous materials. Computational Mechanics 42:2, pages 147-170.
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S. Lefebvre, B. Devincre & T. Hoc. (2007) Yield stress strengthening in ultrafine-grained metals: A two-dimensional simulation of dislocation dynamics. Journal of the Mechanics and Physics of Solids 55:4, pages 788-802.
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H.D. Espinosa, M. Panico, S. Berbenni & K.W. Schwarz. (2006) Discrete dislocation dynamics simulations to interpret plasticity size and surface effects in freestanding FCC thin films. International Journal of Plasticity 22:11, pages 2091-2117.
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Haitao Zhang & C.T. Sun. (2006) A multiscale mechanics approach for modeling textured polycrystalline thin films with nanothickness. International Journal of Mechanical Sciences 48:8, pages 899-906.
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D.S. Balint, V.S. Deshpande, A. Needleman & E. Van der Giessen. (2005) A discrete dislocation plasticity analysis of grain-size strengthening. Materials Science and Engineering: A 400-401, pages 186-190.
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