Some Dynamical System Considerations For Dislocations

Stagika, G.; Ichtiaroglou, S.; Groma, István; Csikor, F.; Aifantis, E.G.

doi:10.1515/jmbm.2003.14.1.1

Cited by 2 publications

(2 citation statements)

References 5 publications

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“…A.6 to A.8 in [9]. It can be shown that the Wilkens function, f(η), has a more general validity for edge and curved dislocations and, it can be extended in a simple way for infinitesimal dislocation dipoles when M goes to zero, where M=R e ρ 1/2 [14]. Strain anisotropy.…”

Section: Fundamentals Of X-ray Line Profile Analysismentioning

confidence: 99%

Subgrain Size-Distributions, Dislocation Structures, Stacking- and Twin Faults and Vacancy Concentrations in SPD Materials Determined by X-Ray Line Profile Analysis

Ungár

2006

MSF

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The fundamentals of X-ray line profile analysis are summarised in terms of subgrain size and size-distribution, dislocation density and dislocation types, especially edge and screw dislocations, intrinsic and extrinsic stacking faults and twin boundaries and vacancies produced during plastic deformation. It is shown that deformation induced vacancy concentrations in the grain boundaries of compressed copper polycrystals are close to the equilibrium values at the melting temperature. The discrepancy between X-ray and TEM size values is discussed in terms subgrain- and grain size. It is shown that this apparent discrepancy might be used to determine the status of fragmentation by severe plastic deformation.

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Section: Fundamentals Of X-ray Line Profile Analysismentioning

confidence: 99%

Subgrain Size-Distributions, Dislocation Structures, Stacking- and Twin Faults and Vacancy Concentrations in SPD Materials Determined by X-Ray Line Profile Analysis

Ungár

2006

MSF

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“…In order to achieve this goal we have investigated, as a first approach to the full problem, the dynamical behavior of two parallel edge dislocations in the stress field of a fixed dislocation dipole under the influence of a periodic external force. Some preliminary results of this work have been published in reference [10].…”

Section: Introductionmentioning

confidence: 99%

A Simple Model on Dislocation Dynamics

Koukouloyannis¹,

Stagika²,

Ichtiaroglou³

et al. 2005

Journal of the Mechanical Behavior of Materials

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SUMMARYThe complete solution of the problem of the dynamical interaction of two parallel edge dislocations is obtained by a suitable transformation. Then we consider the influence of the stress field of a fixed dislocation dipole and external periodic forcing and study the generation of stable fixed points of the associated Poincaré map and the corresponding basins of attraction. INTRODUCTIONOver the past decade several numerical investigations have been performed to study the dynamical properties of dislocation systems [1][2][3][4][5][6][7][8]. One of the most interesting questions stimulating these works is to understand the origin of dislocation patterning. Due to the longrange dislocation-dislocation interaction, however, the direct numerical integration of the equation of motion of a system large enough to produce patterning is extremely computation time consuming. It has been recently proposed by Bakó and Groma [9] that the nearest neighbor dislocation interaction could be well approximated by an appropriate stochastic process. For systems containing several hundreds of dislocations it is proved numerically that the stochastic approach results in the same dynamical behavior as the "exact" integration.The motivation of the present work is to figure out what is the minimal dislocation number, which can be well described by the above-mentioned stochastic approximation. In order to

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Some Dynamical System Considerations For Dislocations

Cited by 2 publications

References 5 publications

Subgrain Size-Distributions, Dislocation Structures, Stacking- and Twin Faults and Vacancy Concentrations in SPD Materials Determined by X-Ray Line Profile Analysis

Subgrain Size-Distributions, Dislocation Structures, Stacking- and Twin Faults and Vacancy Concentrations in SPD Materials Determined by X-Ray Line Profile Analysis

A Simple Model on Dislocation Dynamics

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