A dislocation dynamics analysis of the critical cross-slip annihilation distance and the cyclic saturation stress in fcc single crystals at different temperatures

Pauš, Petr; Kratochvı́l, Jan; Beneš, Michal

doi:10.1016/j.actamat.2013.09.032

Cited by 32 publications

(22 citation statements)

References 35 publications

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“…This is similar to the symmetric case computations in [4]. For conguration the same as in Experiment 1 and …”

Section: Simulation Resultssupporting

confidence: 86%

“…One can see that the mutual interaction force changed shape of the bowing edge dislocation. This situation was not observed in the symmetric case [4]. Taking the same condition as in Experiment 1 but shortening the primary plane distance h to 20 nm, i.e.…”

Section: Simulation Resultsmentioning

confidence: 97%

“…The eective forcing terms F effl in primary and cross-slip planes are dierent, i.e., F Whether the cross-slip mechanism occurs or not is determined by the cross-slip criterion (see [4]), i.e., cross-slip occurs, whenever…”

Section: Reads Asmentioning

confidence: 99%

“…The force F int = bτ int caused by the interaction (737) stress τ int between dislocations computed using the Devincre formula (see [4,10]). …”

Section: Reads Asmentioning

confidence: 99%

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Numerical Simulation of Dislocation Cross-Slip with Annihilation in Non-Symmetric Configuration

2015

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The interpretation of the experimentally determined critical distance of the screw dislocation annihilation in persistent slip bands is still an open question. We attempt to analyze this problem using the discrete dislocation dynamics simulations. Dislocations are represented by parametrically described curves. The model is based on the numerical solution of the dislocation motion law belonging to the class of curvature driven curve dynamics. We focus on the simulation of the cross-slip of one edge dislocation curve bowing out of the wall of a persistent slip band channel and one screw dislocation gliding through the channel. The dislocations move under their mutual interaction, the line tension and the applied stress. A cross-slip leads to annihilation of the dipolar parts. In the changed topology each dislocation evolves in two slip planes and the plane where cross-slip occurred. The goal of our work is to develop and test suitable mathematical and physical model of the situation. The results are subject to comparison with symmetric conguration of two screw dislocations studied in papers by Pau² et al. The simulation of the dislocation evolution and merging is performed by the improved parametric approach. Numerical stability is enhanced by the tangential redistribution of the discretization points.

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“…This is similar to the symmetric case computations in [4]. For conguration the same as in Experiment 1 and …”

Section: Simulation Resultssupporting

confidence: 86%

Section: Simulation Resultsmentioning

confidence: 97%

Section: Reads Asmentioning

confidence: 99%

“…The force F int = bτ int caused by the interaction (737) stress τ int between dislocations computed using the Devincre formula (see [4,10]). …”

Section: Reads Asmentioning

confidence: 99%

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Numerical Simulation of Dislocation Cross-Slip with Annihilation in Non-Symmetric Configuration

2015

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“…41,42 Once determined, the activation enthalpy can be used in a probabilistic implementation of cross-slip, similar to existing probabilistic models based on the glide stress. 18 As an alternative to the probabilistic approach, a deterministic model of cross-slip has also recently been proposed, 43 and may be more appropriate for crystal structures without core disassociation.…”

Section: Discrete Eventsmentioning

confidence: 99%

Recent Progress in Discrete Dislocation Dynamics and Its Applications to Micro Plasticity

Mohamed

Crosby

et al. 2014

JOM

109

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We present a self-contained review of the discrete dislocation dynamics (DDD) method for the numerical investigation of plasticity in crystals, focusing on recent development and implementation progress. The review covers the theoretical foundations of DDD within the framework of incompatible elasticity, its numerical implementation via the nodal method, the extension of the method to finite domains and several implementation details. Applications of the method to current topics in micro-plasticity are presented, including the size effects in nano-indentation, the evolution of the dislocation microstructure in persistent slip bands, and the phenomenon of dislocation avalanches in micro-pillar compression.

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Curvature driven flow of a family of interacting curves with applications

2020

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In this paper, we investigate a system of geometric evolution equations describing a curvature‐driven motion of a family of planar curves with mutual interactions that can have local as well as nonlocal character, and the entire curve may influence evolution of other curves. We propose a direct Lagrangian approach for solving such a geometric flow of interacting curves. We prove local existence, uniqueness, and continuation of classical Hölder smooth solutions to the governing system of nonlinear parabolic equations. A numerical solution to the governing system has been constructed by means of the method of flowing finite volumes. We also discuss various applications of the motion of interacting curves arising in nonlocal geometric flows of curves as well as an interesting physical problem of motion of two interacting dislocation loops in the material science.

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A dislocation dynamics analysis of the critical cross-slip annihilation distance and the cyclic saturation stress in fcc single crystals at different temperatures

Cited by 32 publications

References 35 publications

Numerical Simulation of Dislocation Cross-Slip with Annihilation in Non-Symmetric Configuration

Numerical Simulation of Dislocation Cross-Slip with Annihilation in Non-Symmetric Configuration

Recent Progress in Discrete Dislocation Dynamics and Its Applications to Micro Plasticity

Curvature driven flow of a family of interacting curves with applications

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