Journal ArticleDOI
The Peierls-Nabarro model and the mobility of the dislocation line
Béla Joós,J. Zhou +1 more
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In this article, the authors present an analytical model for several of the quantities characterizing the mobility of a dislocation line, which covers the whole range of possible values of dislocation width.Abstract:
Within the framework of the Peierls-Nabarro model we present an analytical model for several of the quantities characterizing the mobility of a dislocation line, which covers the whole range of possible values of dislocation width. These quantities include the first-order Peierls stress σ1p (the minimum stress required to move a straight segment of dislocation), the kink profile. the kink pair activation energy H kp and the second-order Peierls stress σ2p (the minimum stress required to move a kink in the dislocation line). These quantities are expressed in terms of fundamental properties of the material, and in particular the relevant generalized stacking-fault surface segment.read more
Citations
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Experimental evaluation of the Peierls stresses in a variety of crystals and their relation to the crystal structure
TL;DR: Ohsawa et al. as mentioned in this paper used the line tension model of dislocation to estimate the Peierls-Nabarro (P-N) formula for dislocations of 66 slip systems in 52 crystals.
Journal ArticleDOI
Dislocations and Plastic Deformation in MgO Crystals: A Review
Jonathan Amodeo,Sébastien Merkel,Christophe Tromas,Philippe Carrez,Sandra Korte-Kerzel,Patrick Cordier,Jérôme Chevalier +6 more
TL;DR: In this article, the authors focus on dislocations and plastic deformation in magnesium oxide (MgO) crystals and describe how a combined approach of macro-mechanical tests, multi-scale modeling, and nano-ME tests, and high pressure experiments and simulations have progressively helped to improve our understanding of MgO mechanical behavior and elementary dislocation-based processes under stress.
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Peierls–Nabarro model for dislocations in MgSiO3 post-perovskite calculated at 120 GPa from first principles
TL;DR: In this article, the authors present the first numerical modeling of dislocations in MgSiO3 post-perovskite at 120 GPa using the Peierls-Nabarro model.
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Peierls?Nabarro modelling of dislocations in MgO from ambient pressure to 100?GPa
TL;DR: In this article, the Peierls-Nabarro model is used to model dislocation core properties in MgO as a function of pressure from ambient conditions to 100 GPa.
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Modelling the effect of pressure on the critical shear stress of MgO single crystals
TL;DR: In this paper, a hierarchical multi-scale model was used to study the effect of high pressure on the critical shear stresses of MgO. Based on a generalised Peierls-Nabarro model, it was shown that the core structure of ½⟨110⟩ screw dislocations is strongly sensitive to pressure.
References
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Book
Theory of Dislocations
John Price Hirth,Jens Lothe +1 more
TL;DR: Dislocations in Isotropic Continua: Effects of Crystal Structure on Dislocations and Dislocation-Point-Defect Interactions at Finite temperatures.
Journal ArticleDOI
The size of a dislocation
TL;DR: In this paper, the size of a dislocation and critical shear stress for its motion were calculated for a single dislocation with respect to the size and motion of the dislocation.
Journal ArticleDOI
Dislocations in a simple cubic lattice
TL;DR: In this paper, the authors calculate the activation energy of dislocations in a perfect lattice and show that the energy of a dislocation can be estimated by an approximate method due to Peierls.
Journal ArticleDOI
Intrinsic stacking faults in body-centred cubic crystals
TL;DR: In this article, a study of the possibility of the existence of stacking faults in b.c. crystals on {110} and {112} planes has been performed, representing the lattice by a central force interaction between atoms.
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A critical review of the peierls mechanism
Pierre Guyot,John E. Dorn +1 more
TL;DR: A thorough review of the application of the Peierls model to the macroscopic plastic deformation of ionic crystals, metals, alloys, and covalently bonded crystals is given in this paper.