X. The Interaction of Dislocations and Boundaries

Head, A. K.

doi:10.1080/14786440108520278

Cited by 328 publications

(76 citation statements)

References 2 publications

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“…1c. 1 and 2 are mapped onto 1 and 2 , respectively. The coordinate origin O, the infinity, and the point z 0 are, respectively, mapped onto the points O (ζ = a), K (ζ = −R 2 ) and ζ 0 .…”

Section: Conformal Mappingmentioning

confidence: 99%

“…It is because that such an interaction induces an image forces acting on the dislocation, and consequently induces a motion of the dislocation. From Head's work [1], many researches have been performed. It is revealed that the interaction energy and image force acting on the dislocation are significantly influenced by the shape of inhomogeneities [1][2][3][4][5][6], the nature of inhomogeneity/matrix interfaces [7][8][9][10], and the size of inhomogeneities [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…Experimental investigations revealed interesting interaction phenomena of dislocations with free surfaces [14][15][16][17]. The theoretical solution of the interaction of a dislocation with the free surface was firstly given by Head [1]. When a dislocation approaches an inhomogeneity near the free surface, an intricate coupling interaction effect occurs.…”

Section: Introductionmentioning

confidence: 99%

“…In 1953, Head [1] first derived the image force on a dislocation near a straight interface between two dissimilar materials. He found that the dislocation was either repealed or attracted by the interface, depending on the combination of material constants.…”

Section: Introductionmentioning

confidence: 99%

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The interaction of a screw dislocation with a circular inhomogeneity near the free surface

et al. 2013

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The interaction of a screw dislocation with a circular inhomogeneity near the free surface is discussed in this paper. By using the complex potential and conformal mapping technique, an explicit series solution is obtained. Then, the solution is cast into a new expression to separate the interaction effects between the dislocation, inhomogeneity, and free surface. The new expression is not only convenient to reveal the coupling interaction effects, but also helpful to improve the convergence of the solution. As an application of the new expression, a simple approximate formula is presented with high accuracy. Finally, the full-field interaction energy and image force are evaluated and studied graphically. It is found that when the screw dislocation, inhomogeneity, and free surface are close to each other, their interaction effects strongly and intricately couple in the near field. In the case of a soft inhomogeneity or a hole, there is an unstable equilibrium point of the screw dislocation between the inhomogeneity and free surface, whereas in the case of a hard or rigid inhomogeneity, there is an unstable equilibrium point on the opposite side of the inhomogeneity.

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Section: Conformal Mappingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The interaction of a screw dislocation with a circular inhomogeneity near the free surface

et al. 2013

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“…Head [2] first derived the image force on a dislocation near a perfect bimaterial interface. He found that the dislocation was either repelled or attracted by the interface, depending on the combination of material constants.…”

Section: Introductionmentioning

confidence: 99%

The coupling interaction of a screw dislocation with a bimaterial interface and a nearby circular inclusion

et al. 2015

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This work deals with the coupling interaction of a screw dislocation with a bimaterial interface and a nearby circular inclusion. Explicit series solutions are obtained by the complex potential and conformal mapping technique. Then the solutions are cast into new expressions with the coupling interaction effects separated. The new expressions converge rapidly and provide good first-order approximation formulae. The interaction energy and image force fields are formulated, evaluated, and shown graphically. It is found that the inclusion severely distorts the neighboring interaction energy contours and image force lines. There must be one unstable equilibrium point in Material 2 where the inclusion is located, whereas there may be zero, one or two equilibrium points (stable or unstable) in Material 1 without any inclusion, which depends on a combination of three material shear moduli and the nondimensional distance between the inclusion and bimaterial interface. It is interesting to notice that the direction of some local image forces in Material 1 may be inversed by a nearby inclusion in Material 2, and the inverse region is close to but not connected to the bimaterial interface.

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Microstructural Effects on the Cyclic Response of FCC Metallic Alloys – A Dislocation Dynamics Study

Yellakara¹,

Wang²

2014

TMS 2014 Supplemental Proceedings

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X. The Interaction of Dislocations and Boundaries

Cited by 328 publications

References 2 publications

The interaction of a screw dislocation with a circular inhomogeneity near the free surface

The interaction of a screw dislocation with a circular inhomogeneity near the free surface

The coupling interaction of a screw dislocation with a bimaterial interface and a nearby circular inclusion

Microstructural Effects on the Cyclic Response of FCC Metallic Alloys – A Dislocation Dynamics Study

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