On the distribution of impurity atoms in the stress field of a dislocation

Beshers, D. N.

doi:10.1016/0001-6160(58)90166-4

Cited by 72 publications

(18 citation statements)

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“…Theoretical studies of solute atom distributions are rooted in a statistical mechanics model already pursued by several authors [33,34]. Since the occupancy state of the interstitial site by a solute atom is either zero or unity, Fermi-Dirac statistics are suitable for quantifying solute concentrations.…”

Section: Solute Atmospherementioning

confidence: 99%

Interactions between carbon solutes and dislocations in bcc iron

et al. 2010

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Section: Solute Atmospherementioning

confidence: 99%

Interactions between carbon solutes and dislocations in bcc iron

et al. 2010

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“…In particular, it takes into account the nonideality of the solid solutions in a phenomenological way that is model independent. If no measured value is available for the activity coefficient function "lit specific statistical mechanical models [20][21][22] can of course be used and the result directly introduced in the value of X.…”

Section: ?Tro(i-v)rmentioning

confidence: 99%

The Interactions of Composition and Stress in Crystalline Solids

Lärché¹,

Cahn²

1984

J. RES. NATL. BUR. STAN.

105

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The thermodynamics of stressed crystals that can change phase and composition is examined with particular attention to hypotheses used and approximations made, Bulk and surface conditions are obtained and for each of them practical expressions are given in terms of experimentally measurable quantities. The concept of open-system elastic constants leads to the reformulation of internal elastochemical equilibrium problems into purely elastic problems, whose solutions are then used to compute the composition distribution. The atmosphere around a dislocation in a cubic crystal is one of several examples that are completely worked out. The effects of vacancies and their equilibrium within a solid and near surfaces are critically examined, and previous formulas are found to be first order approximations. Consequences of the boundary equations that govern phase changes are studied with several examples. Finally, problems connected with diffusional kinetics and diffusional creep are discussed.

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“…where c 0 is an averaged solute concentration [24]. The initial hydrostatic pressure field p(r) that enters this equation can be obtained either directly from DMD simulations (i.e., as the per atom virial pressure at each atomic site) or using the continuum elasticity solution for the stress field of a dislocation [25].…”

Section: A Solute Segregation To Split Edge and Screw Dislocationsmentioning

confidence: 99%

Solute segregation kinetics and dislocation depinning in a binary alloy

2015

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Static strain aging, a phenomenon caused by diffusion of solute atoms to dislocations, is an important contributor to the strength of substitutional alloys. Accurate modeling of this complex process requires both atomic spatial resolution and diffusional time scales, which is very challenging to achieve with commonly used atomistic computational methods. In this paper, we use the recently developed "diffusive molecular dynamics" (DMD) method that is capable of describing the kinetics of the solute segregation process at the atomic level while operating on diffusive time scales in a computationally efficient way. We study static strain aging in the Al-Mg system and calculate the depinning shear stress between edge and screw dislocations and their solute atmospheres formed for various waiting times with different solute content and for a range of temperatures. A simple phenomenological model is also proposed that describes the observed behavior of the critical shear stress as a function of segregation level.

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On the distribution of impurity atoms in the stress field of a dislocation

Cited by 72 publications

References 0 publications

Interactions between carbon solutes and dislocations in bcc iron

Interactions between carbon solutes and dislocations in bcc iron

The Interactions of Composition and Stress in Crystalline Solids

Solute segregation kinetics and dislocation depinning in a binary alloy

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