Depinning of a Discrete Elastic String from a Random Array of Weak Pinning Points with Finite Dimensions

Proville, Laurent

doi:10.1007/s10955-009-9860-8

Cited by 10 publications

(5 citation statements)

References 37 publications

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“…For such L y , d SPD = d 0 is a very good approximation. The total dislocation length has been fixed to L x = 0.8 µm, above which we found a CRSS invariant against L x , indicating that the Larkin length 33,49,50 is inferior to 0.8 µm. A series of ELM computations were performed with different glide distances d g .…”

Section: Multi-scale Elastic Line Modelmentioning

confidence: 86%

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Atomic-scale models for hardening in fcc solid solutions

Proville¹,

Patinet²

2010

Phys. Rev. B

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Atomic-scale simulations are associated with an elastic line model to analyze thoroughly the pinning strength experienced by an edge dislocation in some face centered cubic (fcc) solid solutions, Al(Mg) and Ni(Al) with solute concentration comprise between 1 and 10 at. %. The one-dimensional elastic line model is developed to sketch out the details of the atomic-scale. The account of such details is shown to yield a proper description of the dislocation statistics for the different systems. The quantitative departure between hardening in Al(Mg) and Ni(Al) is then demonstrated to hinge on the difference in the short range interaction between the partial dislocations and the isolated impurities. It is also shown that an accurate description of the solid solution hardening requires the account for the dislocation geometry and the dislocation interaction with clusters of solute atoms. The elastic line model allows us to perform some computations at the microscopic scales meanwhile accounting for the most important atomic details. A comparison with experimental data is attempted.

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Section: Multi-scale Elastic Line Modelmentioning

confidence: 86%

“…The CRSS dependence in d g is the mere consequence of the increasing probability for the dislocation to encounter stronger obstacles in its course. This has been studied thoroughly in a simpler ELM 33,51 where the CRSS was shown to increase with d g as :…”

Section: Multi-scale Elastic Line Modelmentioning

confidence: 99%

Atomic-scale models for hardening in fcc solid solutions

Proville¹,

Patinet²

2010

Phys. Rev. B

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“…However its level depends on the distance travelled by the dislocation. Indeed, the longer the dislocation travel, the higher the probability of encountering a pinning configuration [49,50]. We choose a glide distance at least equal to 1000 Å .…”

Section: Molecular Static Computation Of the Solid Solution Pinning Smentioning

confidence: 99%

Dislocation pinning by substitutional impurities in an atomic-scale model for Al(Mg) solid solutions

Patinet

Proville

2011

Philosophical Magazine

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We report our atomic-scale computations for the static depinning threshold of dislocations in Al(Mg) solid solutions. The interaction between the dislocations and the isolated obstacles is studied for different types of obstacle, i.e. single solute atoms situated at different positions, and solute dimers with different bond directions. Part of this work is used to apply different standard analytical theories for solid solution hardening, the predictions of which are finally compared with our direct atomic-scale simulations (AS) for dislocation depinning in random Al(Mg) solid solutions. According to our comparisons, the dislocation statistics in our AS is qualitatively well described by the Mott-Nabarro-Labusch theory. In agreement with earlier results about a different system, namely Ni(Al), the depinning thresholds are similar for the edge and for the screw dislocations.

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“…In the conext of collective pinning, Arsenault et al [93,94] built a random noise environment f (x, y) corresponding to the stresses of misfitting solutes randomly placed in the vicinity of the dislocation. Going byound this elastic description, the forces of individual pinning sites can be determined from atomistic simulations [45] and a random force field f (x, y) can be built by summing the contributions of randomly located obstacles [45,95]. This type of atomistically-informed elastic model was shown to reproduce accurately the CRSS obtained from atomistic simulations of Al-Mg and Ni-Al alloys [45].…”

Section: Choice Of the Random Force Fieldmentioning

confidence: 99%

Modeling of solid solution strengthening in FCC alloys: Atomistic simulations, statistical models and elastic continuous approaches

Geslin

2024

Computational Materials Science

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Depinning of a Discrete Elastic String from a Random Array of Weak Pinning Points with Finite Dimensions

Cited by 10 publications

References 37 publications

Atomic-scale models for hardening in fcc solid solutions

Atomic-scale models for hardening in fcc solid solutions

Dislocation pinning by substitutional impurities in an atomic-scale model for Al(Mg) solid solutions

Modeling of solid solution strengthening in FCC alloys: Atomistic simulations, statistical models and elastic continuous approaches

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