Journal Article10.1002/PSSB.19670230212
A Method for Describing a Flexible Dislocation
62
TL;DR: In this article, a procedure for determining the equilibrium shape of a dislocation under the influence of both internal and external stress fields is described, which does not require the explicit numerical integration of line integrals to obtain the self-stress, and line shapes are therefore computed with comparative simplicity.
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Abstract: A procedure for determining the equilibrium shape of a dislocation under the influence of both internal and external stress fields is described. The method, which is an extension of that used by Brown to determine the shape of extended nodes, does not require the explicit numerical integration of line integrals to obtain the self-stress, and line shapes are therefore computed with comparative simplicity. The procedure has been used to study the bowing characteristics and the critical shapes and stresses of Frank-Read sources of various lengths and orientations, and the results are compared with those of the line tension model. The effects on the critical features of an orientation-dependent friction stress have also been studied. Similar results on the bowing characteristics of a dissociated dislocation in the f.c.c. structure and their dependence on stacking fault energy are also presented.
Ein Verfahren zur Bestimmung der Gleichgewichtsform einer Versetzung unter dem Einflus innerer und auserer Spannungsfelder wird beschrieben. Die Methode, die eine Erweiterung der Brownschen Methode fur die Berechnung der Form von Versetzungsknoten darstellt, erfordert keine numerische Auswertung der Linienintegrale fur die Linienspannung, so das die Berechnung der Linienform relativ einfach wird. Das Verfahren wird benutzt, um die Versetzungsform als Funktion der angelegten Spannung sowie die kritische Spannung und Form von Frank-Read-Quellen verschiedener Lange und Orientierung zu berechnen. Die Ergebnisse werden mit dem Saitenmodell verglichen. Der Einflus auf die kritischen Merkmale einer orientierungsabhangigen Reibungsspannung wird ebenfalls untersucht. Ahnliche Ergebnisse werden fur das Verhalten einer aufgespaltenen Versetzung im k.f.z. Gitter und deren Abhangigkeit von der Stapelfehlerenergie mitgeteilt.
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Citations
The effect of dislocation self-interaction on the Orowan stress
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470
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Mesoscopic simulations of plastic deformation
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The Contribution of the Dislocation Forest to the Flow Stress
G. Schoeck,R. Frydman +1 more
TL;DR: In this article, the formation of junctions between a moving dislocation and the trees of a dislocation forest has been calculated for f.c.z. crystals, and the concept of the orientation-dependent line energy and a more realistic averaging procedure was used.
155
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Dislocations in a simple cubic lattice
Frank Reginald Nunes Nabarro
- 01 Mar 1947
TL;DR: In this paper, the authors calculate the activation energy of dislocations in a perfect lattice and show that the energy of a dislocation can be estimated by an approximate method due to Peierls.
Continuous Distributions of Dislocations: A New Application of the Methods of Non-Riemannian Geometry
TL;DR: In this article, the geometry of the continuously dislocated crystal is most conveniently analyzed by treating the manifold of lattice points in the final state as a non-Riemannian one with a single asymmetric connexion.
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The Continuum Theory of Stationary Dislocations
TL;DR: In this paper, the theoretical aspects of the continuum theory of stationary dislocations, as developed up to this time by various investigators, are described, and the results discussed in the chapter may hardly be expected to give the correct answers when the atomic nature of matter is the underlying principle for a certain physical phenomenon, as may be the case when dislations or other lattice defects approach each other to distances comparable to the basic interatomic distance.
224
The bowing of a dislocation segment
TL;DR: The critical stress required to make the dislocation become unstable has been determined for a wide range of segment lengths, and is in fair agreement with the predictions of the line tension model.
216