Dislocation Motion in Crystals With a High Peierls Relief: A Unified Model Incorporating the Lattice Friction and Localized Obstacles

[+] Author and Article Information
G. Dour

Ecole des Mines d’Albi-Carmaux, Route de Teillet, 81 000 Albi, France

Y. Estrin

Institut für Werkstoffkunde und Werkstofftechnik, Technische Universität Clausthal, Agricolastraße 6, D-38678 Clausthal-Zellerfeld, Germany

J. Eng. Mater. Technol 124(1), 7-12 (May 22, 2001) (6 pages) doi:10.1115/1.1421612 History: Received December 12, 2000; Revised May 22, 2001
Copyright © 2002 by ASME
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Possible configurations of a dislocation in a high Peierls relief with a superposed array of strong localized obstacles. Here ϕc is the angle for the classical thermally activated breakaway from the obstacle at B (referred to as static breakaway), ϕtr is the angle corresponding to the transition between curved and straight segment geometry (henceforth referred to as dynamic breakaway) and ϕmin is the angle corresponding to the mechanical (athermal) breakaway.
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The integrals Im1 and Im2 as a function of the thermally activated breakaway angle ϕtr for 3 values of the exponent m from within the range of 50–200
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Stress dependence of the strain rate according to the present model
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Stress dependence of d ln γ̇/dτ and of the stress sensitivity d ln γ̇/d ln τ following from the present model
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A frame from the film is presented in the left picture. For better visibility, the moving dislocation (indicated by the arrows) has been highlighted by a dashed line in the TEM picture. In the right picture, a zoomed schematic is presented. The dashed lines represent immobile dislocations, while the 24 solid lines correspond to a sequence of positions of a mobile dislocation recorded over 1 s.
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Sketch showing the orientation of the specimen and the geometry of the gliding dislocations. The tangents to the branches of the pinned dislocation segments in the glide plane (11̄1), as well as their projections (denoted “Proj.direction”) on the projection plane of the specimen pp=(013) are shown.
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Graphical estimation of the parameter m using the numerical solution of Eq. (21), using the measured thermally activated breakaway angle ϕtr and a set of trial values for the athermal mechanical breakaway angle ϕmin




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