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Philosophical Magazine Volume 87, 2007 - Issue 27
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Original Articles

Non-singular descriptions of dislocation cores: a hybrid ab initio continuum approach

S. Banerjee Engineering Technology Department, Saint Louis University, Saint Louis, Missouri 63103-1110
,
N. Ghoniem Mechanical and Aerospace Engineering Department, University of California, Los Angeles, California 90095-1597Correspondence[email protected]
,
G. Lu Department of Physics, California State University, Northridge, California 91330-8268
&
N. Kioussis Department of Physics, California State University, Northridge, California 91330-8268
Pages 4131-4150 | Received 19 Feb 2007, Accepted 20 Jun 2007, Published online: 17 Aug 2007

Citations (18)

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Akiyuki Takahashi, Mitsuru Kawanabe & Nasr M. Ghoniem. (2010) γ-precipitate strengthening in nickel-based superalloys. Philosophical Magazine 90:27-28, pages 3767-3786.
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Articles from other publishers (17)

M. Longsworth & M. Fivel. (2021) The effect of stress on the cross-slip energy in face-centered cubic metals: A study using dislocation dynamics simulations and line tension models. Journal of the Mechanics and Physics of Solids 148, pages 104281.
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Kun Xie, Guopeng Zhang, Hai Huang, Jianjian Zhang, Zhongxia Liu & Bin Cai. (2021) Investigation of the main strengthening mechanism of carbon nanotube reinforced aluminum composites. Materials Science and Engineering: A 804, pages 140780.
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Yuqi Zhang & Alfonso H.W. Ngan. (2018) Dislocation-density dynamics for modeling the cores and Peierls stress of curved dislocations. International Journal of Plasticity 104, pages 1-22.
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Giacomo Po, Markus Lazar, Nikhil Chandra Admal & Nasr Ghoniem. (2018) A non-singular theory of dislocations in anisotropic crystals. International Journal of Plasticity 103, pages 1-22.
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Sambit Das & Vikram Gavini. (2017) Electronic structure study of screw dislocation core energetics in Aluminum and core energetics informed forces in a dislocation aggregate. Journal of the Mechanics and Physics of Solids 104, pages 115-143.
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M.-A. Louchez, L. Thuinet, R. Besson & A. Legris. (2017) Microscopic Phase-Field modeling of hcp fcc interfaces . Computational Materials Science 132, pages 62-73.
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Akiyuki Takahashi & Motoyasu Kanazawa. (2017) Atomistic-continuum hybrid analysis of dislocation behavior in spinodally decomposed Fe-Cr alloys. MATEC Web of Conferences 101, pages 01018.
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I. J. Beyerlein & A. Hunter. (2016) Understanding dislocation mechanics at the mesoscale using phase field dislocation dynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374:2066, pages 20150166.
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Mrinal Iyer, Balachandran Radhakrishnan & Vikram Gavini. (2015) Electronic-structure study of an edge dislocation in Aluminum and the role of macroscopic deformations on its energetics. Journal of the Mechanics and Physics of Solids 76, pages 260-275.
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Hiroaki Morita & Akiyuki Takahashi. (2014) Numerical analysis of interaction between solute atom and extended dislocation using force multipoles. Journal of Central South University 21:8, pages 3000-3006.
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A. Hunter, R. F. Zhang & I. J. Beyerlein. (2014) The core structure of dislocations and their relationship to the material γ-surface. Journal of Applied Physics 115:13.
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Benjamín R. Ramírez, Nasr Ghoniem & Giacomo Po. (2012) Ab initio continuum model for the influence of local stress on cross-slip of screw dislocations in fcc metals . Physical Review B 86:9.
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Akiyuki Takahashi, Zhengzheng Chen, Nasr Ghoniem & Nicholas Kioussis. (2011) Atomistic-continuum modeling of dislocation interaction with Y2O3 particles in iron. Journal of Nuclear Materials 417:1-3, pages 1098-1101.
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A Takahashi & K Kurata. (2010) Dislocation dynamics based modelling of dislocation-precipitate interactions in bcc metals. IOP Conference Series: Materials Science and Engineering 10, pages 012081.
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Akiyuki Takahashi & Nasr M. Ghoniem. (2009) Structure of self-interstitial atom clusters in iron and copper. Physical Review B 80:17.
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Akiyuki TAKAHASHI & Mitsuru KAWANABE. (2009) Numerical Analysis of Precipitation Strengthening by γ-Precipitates in Nickel-Based Superalloy. Transactions of the Japan Society of Mechanical Engineers Series A TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 75:753, pages 595-603.
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Yang Xiang, He Wei, Pingbing Ming & Weinan E. (2008) A generalized Peierls–Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu. Acta Materialia 56:7, pages 1447-1460.
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