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Philosophical Magazine Volume 95, 2015 - Issue 33
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Part A: Materials Science

The dislocation equation as a generalization of Peierls equation

Shaofeng WangDepartment of Physics and Institute for Structure and Function, Chongqing University, Chongqing, 400030P.R. China.Correspondence[email protected]
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Pages 3768-3784 | Received 09 May 2015, Accepted 14 Sep 2015, Published online: 23 Oct 2015

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Read on this site (2)

Shaofeng Wang. (2022) Boundary equation from a lattice model and modification of the Peierls equation. Philosophical Magazine 102:1, pages 1-25.
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Xiangsheng Hu & Shaofeng Wang. (2018) Nonplanar core structure of the screw dislocations in tantalum from the improved Peierls–Nabarro theory. Philosophical Magazine 98:6, pages 484-516.
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Articles from other publishers (18)

Zongrui Pei. (2023) A general framework for dislocation models. Computational Materials Science 222, pages 112107.
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Hao Xiang, Rui Wang, Feng-Lin Deng & Shao-Feng Wang. (2022) Core structure and Peierls stress of the 90° dislocation and the 60° dislocation in aluminum investigated by the fully discrete Peierls model. Chinese Physics B 31:8, pages 086104.
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Mohammad Sarkari Khorrami, Jaber Rezaei Mianroodi & Bob Svendsen. (2022) Finite-deformation phase-field microelasticity with application to dislocation core and reaction modeling in fcc crystals. Journal of the Mechanics and Physics of Solids 164, pages 104897.
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Shaofeng Wang. (2021) A theoretical self-consistent method for the dislocation-based heterojunction. Journal of Applied Physics 129:20.
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Xiangsheng Hu, Minsheng Huang & Zhenhuan Li. (2021) Nonplanar core structure of 1/2<111> screw dislocations: An anisotropic Peierls-Nabarro model. Mechanics of Materials 156, pages 103794.
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F. Bormann, K. Mikeš, O. Rokoš & R.H.J. Peerlings. (2020) The Peierls–Nabarro finite element model in two-phase microstructures – A comparison with atomistic. Mechanics of Materials 150, pages 103555.
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Shujun Zhang & Shaofeng Wang. (2020) Modification of the Peierls–Nabarro model for misfit dislocation*. Chinese Physics B 29:5, pages 056102.
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Shujun Zhang & Shaofeng Wang. (2020) Generalized Peierls–Nabarro model for studying misfit dislocation in a BN/AlN heterostructure. Journal of Applied Physics 127:8.
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Amuthan A. Ramabathiran. (2019) An iterative scheme for the generalized Peierls–Nabarro model based on the inverse Hilbert transform. International Journal of Computational Materials Science and Engineering 08:04, pages 1950019.
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Feng-Lin Deng, Xiang-Sheng Hu & Shao-Feng Wang. (2019) Dislocation neutralizing in a self-organized array of dislocation and anti-dislocation*. Chinese Physics B 28:11, pages 116103.
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Shaofeng Wang, Fenglin Deng & Jianhui Bai. (2019) The $$\pi $$-symmetry and elastic equilibrium of a film in the theory of elasticity. Acta Mechanica 230:8, pages 2717-2734.
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Lili Huang & Shaofeng Wang. (2019) Structure and energy of the 〈11¯〉 screw dislocation in silicon using generalized Peierls theory. Journal of Applied Physics 125:14.
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Tao Luo, Pingbing Ming & Yang Xiang. (2018) From Atomistic Model to the Peierls–Nabarro Model with $${\gamma}$$ γ -surface for Dislocations. Archive for Rational Mechanics and Analysis 230:2, pages 735-781.
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Fei Wang. (2018) The rigidity and mobility of screw dislocations in a thin film. Physica E: Low-dimensional Systems and Nanostructures 101, pages 103-109.
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Shaofeng Wang & Xiangsheng Hu. (2018) Exact solution of the generalized Peierls equation for arbitrary n-fold screw dislocation. Journal of the Mechanics and Physics of Solids 114, pages 75-83.
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Jianhui Bai & Shaofeng Wang. (2016) Screw dislocation equations in a thin film and surface effects. International Journal of Plasticity 87, pages 181-203.
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J.R. Mianroodi, A. Hunter, I.J. Beyerlein & B. Svendsen. (2016) Theoretical and computational comparison of models for dislocation dissociation and stacking fault/core formation in fcc crystals. Journal of the Mechanics and Physics of Solids 95, pages 719-741.
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D.C. Lv, D. McAllister, M.J. Mills & Y. Wang. (2016) Deformation mechanisms of D022 ordered intermetallic phase in superalloys. Acta Materialia 118, pages 350-361.
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