Prediction of Peierls stresses for different crystals

Wang, J.N.

doi:10.1016/0921-5093(95)09982-4

Cited by 104 publications

(32 citation statements)

References 21 publications

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“…For MgSiO 3 post-perovskite σ p /µ is in the range 10 -3 -10 -2 . Wang [20] has gathered a compilation of experimental σ p /µ based on yield stress data extrapolated at 0K. Table 5 should be corrected with…”

Section: The Case Of Split Dislocationsmentioning

confidence: 99%

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Peierls–Nabarro model for dislocations in MgSiO₃post-perovskite calculated at 120 GPa from first principles

Carrez

Ferré

Cordier

2007

Philosophical Magazine

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Section: The Case Of Split Dislocationsmentioning

confidence: 99%

“…Dislocation properties are then derived using the framework of the PN model. This The original Peierls Nabarro (PN) model [16,17] represents a useful and efficient approach to calculate the core properties of dislocations [18][19][20] based on the assumption of a planar core [21]. It has been shown to apply to a wide range of materials [20,[22][23][24][25]11].…”

mentioning

confidence: 99%

Peierls–Nabarro model for dislocations in MgSiO₃post-perovskite calculated at 120 GPa from first principles

Carrez

Ferré

Cordier

2007

Philosophical Magazine

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“…It has been shown to apply to a wide range of materials (Wang, 1996;Bulatov & Kaxiras, 1997;Von Sydow et al, 1999;Lu et al, 2000, Lu, 2005Miranda & Scandolo, 2005;Carrez et al 2006;Carrez et al, 2007a and2007b, Durinck et al in press).…”

Section: The Peierls-nabarro Modelmentioning

confidence: 99%

“…The extension of the core (as determined by the Peierls-Nabarro method presented in the previous section) is then imposed by adjusting all the atomic positions according to the shear profile S(x) calculated in the PN model. As a consequence, the upper part of the crystal is stretched whereas the lower part is compressed and a crystal with a dislocation in the centre is formed (details of the construction can be found in Hirth & Lothe 1982or in Wang 1996. At this stage, the elastic displacement field associated with the dislocation density ρ (the equation can be found in Carrez et al 2007a) is added at any atomic position, which results in a reduction of the atomic plane distortions far from the dislocation centre.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

First principles determination of dislocations properties of MgSiO3 perovskite at 30GPa based on the Peierls–Nabarro model

Ferré

Carrez

Cordier

2007

Physics of the Earth and Planetary Interiors

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Please cite this article as: Ferré, D., Carrez, P., Cordier, P., First principles determination of dislocations properties of MgSiO 3 perovskite at 30 GPa based on the Peierls-Nabarro model, Physics of the Earth and Planetary Interiors (2007), doi:10.1016/j.pepi.2007 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.A c c e p t e d M a n u s c r i p t A c c e p t e d M a n u s c r i p t Abstract:We present here a numerical modelling of dislocations in MgSiO 3 perovskite at 30 GPa. The dislocation core structures and properties are calculated through the Peierls-Nabarro model

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“…[75]. According to Wang [78], the data on a,(T) for crystals, having low ap, agree better with the Kuhlman-Wilsdorf theory, whereas high-a, crystals are in consistent with the Dietze prediction.…”

Section: Temperature Dependence Of the Yield Stressmentioning

confidence: 88%

Application of Internal Friction to Analysis of Plastic Behaviour of Crystals

Лебедев

1996

J. Phys. IV France

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Abstract.A relationship between dislocation internal friction, microplastic and macroplastic behaviour of crystals has been considered. Main attention has been paid to the shape of the dislocation hysteresis responsible for the amplitude-dependent internal fiction (ADIF) and to a comparison between the macroyield stress c, and microyield stress G, evaluated &om the ADIF. It is shown that the same functional form of the ADIF curve may be due to different types of the dislocation hysteresis loop. A proportionality (similarity law) between the temperature dependences q(T) and o,(T) has been demonstrated. Deviations &om the similarity law can be used for analysis of the low and high temperature anomalies of cc(T). The thermal vibrations of atoms rather than the thermal fluctuations are concluded to be responsible for the yield stress temperature dependence.

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Prediction of Peierls stresses for different crystals

Cited by 104 publications

References 21 publications

Peierls–Nabarro model for dislocations in MgSiO₃post-perovskite calculated at 120 GPa from first principles

Peierls–Nabarro model for dislocations in MgSiO₃post-perovskite calculated at 120 GPa from first principles

First principles determination of dislocations properties of MgSiO3 perovskite at 30GPa based on the Peierls–Nabarro model

Application of Internal Friction to Analysis of Plastic Behaviour of Crystals

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Prediction of Peierls stresses for different crystals

Cited by 104 publications

References 21 publications

Peierls–Nabarro model for dislocations in MgSiO3post-perovskite calculated at 120 GPa from first principles

Peierls–Nabarro model for dislocations in MgSiO3post-perovskite calculated at 120 GPa from first principles

First principles determination of dislocations properties of MgSiO3 perovskite at 30GPa based on the Peierls–Nabarro model

Application of Internal Friction to Analysis of Plastic Behaviour of Crystals

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Peierls–Nabarro model for dislocations in MgSiO₃post-perovskite calculated at 120 GPa from first principles

Peierls–Nabarro model for dislocations in MgSiO₃post-perovskite calculated at 120 GPa from first principles