Microscopic observation of elastic distortions caused by orowan loops

Sato, Akira; Mori, Martina; Funkenbusch, Paul D.; Mori, T.

doi:10.1016/0001-6160(86)90121-5

Cited by 9 publications

(19 citation statements)

References 10 publications

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“…As a result, it was shown [2] that the experimentally observed rotation angles of Moiré fringes were generally smaller than the theoretically estimated ones. In order to eliminate this discrepancy, the discrete nature of Orowan loops was taken into consideration [2], using, for the sake of simplicity, an elastically homogeneous and isotropic material. The effect of the elastic distortions of the discrete dislocation loops in an anisotropic and homogeneous matrix on the rotation angles of Moiré fringes was investigated by Dikici [3], using the numerical method.…”

Section: Introductionmentioning

confidence: 76%

“…Sato et al [1,2] attempted the direct detection of the elastic distortions in a-Fe particles embedded in a Cu matrix and surrounded by Orowan loops, by utilising Moiré fringes which were formed by nearly parallel matrix {111} Cu and particle {110} Fe planes. In their study, the rotation angles of Moiré fringes were examined before and after foil annealing.…”

Section: Introductionmentioning

confidence: 99%

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The Effect of Elastic Distortions Produced by Dislocation Loops in an Inhomogeneous and Anisotropic Medium on the Rotation Angles of Moire Fringes

Dikici

2001

phys. stat. sol. (b)

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The non-uniform elastic distortions caused by the discrete elliptical Orowan loops in an inhomogeneous and anisotropic medium have been evaluated by using the equivalent inclusion method of Eshelby, and the effect of these distortions on the rotation angles of Moiré fringes has been investigated. The results are given as two line integrals, and by using the numerical method, the rotation angles of Moiré fringes are also obtained from the discrete Orowan loop surrounding an a-Fe particle embedded in a Cu matrix. It is seen that the rotation angles, due to the elastic distortions of the discrete Orowan loop, of Moiré fringes depend on the anisotropic properties of the materials, the shape and orientation of Orowan loop, and the inhomogeneity effect, and that the inhomogeneity effect is important for both the isotropic and the anisotropic medium.

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Section: Introductionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

The Effect of Elastic Distortions Produced by Dislocation Loops in an Inhomogeneous and Anisotropic Medium on the Rotation Angles of Moire Fringes

Dikici

2001

phys. stat. sol. (b)

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“…To exclude surface effects of thin foils, stereoscopic observations were made to select Co precipitates embedded well into the foils. 28,29) The HVEM makes it possible to observe the Co precipitates in the foils with a thickness of about 1 µm. Figure 2 is an example of the result of the stereoscopic observation showing locations of the Co precipitates in a cross-section of the Cu foil.…”

Section: Methodsmentioning

confidence: 99%

“…Figure 9 shows an example of the rotational moiré fringes in a Co precipitate observed with g = 11 1. It is noted that the direction perpendicular to the moiré fringes is deviated from the direction of g. When this deviation angle is ¤, the relative rotation angle ª of {111} of Co and Cu is given by 28,31) The deviation angles ª and ¤ were measured for other identical Co precipitates. Figure 10 shows the relationship between ª and ¤.…”

Section: Rotational Moiré Fringesmentioning

confidence: 99%

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Morphological and Crystallographic Characteristics of Incoherent Octahedral FCC Co Precipitates in a Cu Matrix

et al. 2012

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A Cu3.0 mass%Co alloy was heat-treated by a method named "short-cut aging". Incoherent fcc Co precipitates of about 200 nm in size formed in an fcc Cu matrix were observed with conventional and ultra-high-voltage transmission electron microscopes. Although the Co precipitates had shapes similar to a regular octahedron composed of {111} of the Cu matrix, small deviations from the regular octahedron were found. Most Co/Cu interfaces deviated from {111} of Cu and the average deviation angle ¤ was about 7 deg. Dislocations in the Cu matrix intersecting the Co precipitates were observed for those having deviated interfaces. Deviations of the orientation relationship from an exact cubeon-cube relationship were also found. Although the deviation angle ª of the orientation relationship was much smaller than ¤, there was a linear relationship between ª and ¤. The morphological and crystallographic characteristics of the octahedral Co precipitates are discussed by considering dislocations in the Cu matrix intersecting the Co precipitates.

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A New Approach to the Effect of Elastic Distortions Produced by Dislocation Loops in an Infinite Anisotropic Medium on Moir� Fringes

Dikici

2001

phys. stat. sol. (b)

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The elastic distortion fields, and their Taylor's series expansions, produced by the discrete elliptical dislocation loop in an infinitely extended, elastically homogeneous and anisotropic medium are derived by using the derivatives of the elastic Green's tensor. The results are given as two line integrals. The obtained Taylor's series of the distortion fields could be used at any point near the origin of the coordinate system. Numerical results for the effect of the elastic distortions in copper on the rotation angles of Moiré fringes are obtained from the first three and first five terms of Taylor's series. It is seen that, to explain the effect of the elastic distortion fields caused by the discrete dislocation loop on the rotation angles of Moiré fringes, the first three terms of Taylor's series are sufficient.

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Microscopic observation of elastic distortions caused by orowan loops

Cited by 9 publications

References 10 publications

The Effect of Elastic Distortions Produced by Dislocation Loops in an Inhomogeneous and Anisotropic Medium on the Rotation Angles of Moire Fringes

The Effect of Elastic Distortions Produced by Dislocation Loops in an Inhomogeneous and Anisotropic Medium on the Rotation Angles of Moire Fringes

Morphological and Crystallographic Characteristics of Incoherent Octahedral FCC Co Precipitates in a Cu Matrix

A New Approach to the Effect of Elastic Distortions Produced by Dislocation Loops in an Infinite Anisotropic Medium on Moir� Fringes

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