Phenomenological and Microscopical Description of Scattering from Distorted Materials

Barabash, R.I.; Klimanek, P.

doi:10.4028/www.scientific.net/msf.347-349.266

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“…In order to relate the measured broadening of X-ray rocking curves of deformed crystals to the distribution and/or density of the (geometrically necessary) dislocations, certain assumptions must be made. Quite recently, Barabash and Klimanek [18,19] and Breuer et al [20] have modelled the broadening of X-ray rocking curves for specific dislocation (wall) structures. In general, it is difficult to perform an unambiguous analysis, unless a pertinent model of the dislocation arrangement (which must be compatible with the specific crystallographic deformation geometry!)…”

Section: The Origin Of the Broadening Of The Rocking Curve Of Deformementioning

confidence: 99%

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Misorientations and geometrically necessary dislocations in deformed copper crystals: A microstructural analysis of X-ray rocking curves

Mughrabi¹,

Obst²

2005

MEKU

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In this study, the deformation-induced misorientations that are typically found in face-centred cubic single crystals deformed in single slip into stage II (and early stage III) of the work-hardening curve are discussed with respect to the experimentally observed broadening of X-ray rocking curves. By making use of well-established empirical relationships between characteristic features of the microstructure and the flow stress, some of the ambiguities of earlier interpretations of rocking curves could be avoided, and relationships between the half-widths of the rocking curves, the density of geometrically necessary dislocations, and the flow stress could be derived for both the tilt misorientations due to the kink bands lying perpendicular to the primary Burgers vector and the twist misorientations originating from the dislocation networks (grids, sheets) lying parallel to the primary glide plane. An evaluation of largely unpublished experimental rocking-curve data obtained on different crystallographic sections of deformed copper single crystals yielded a linear relationship between the broadening of the rocking curves and the flow stress. In terms of the predictions of the model developed, this implies that the ratio of the density of the geometrically necessary dislocations (that are responsible for the misorientations) to the total dislocation density remains constant during deformation, at least up to flow stresses of about 50 MPa. The absolute densities of the geometrically necessary dislocations are found to be a small fraction (at most ca. 5 %) of the total dislocation densities. In terms of the evolution laws of deformation-induced dislocation boundaries proposed in the literature, it is concluded that both kink bands and grids/ sheets follow the characteristics of so-called geometrically necessary boundaries.

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Section: The Origin Of the Broadening Of The Rocking Curve Of Deformementioning

confidence: 99%

“…The numerical value of the ratio q GND /q follows from the measured slope in Fig. 6 as q GND /q % 0.0473 (19) implying that the density of GNDs comprises a little less than 5 % of the total dislocation density. Within the scatter of the data, this result is considered entirely reasonable.…”

Section: Evaluation Of Experimental Rocking-curve Data and Comparisonmentioning

confidence: 99%

Misorientations and geometrically necessary dislocations in deformed copper crystals: A microstructural analysis of X-ray rocking curves

Mughrabi¹,

Obst²

2005

MEKU

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show abstract

Phenomenological and Microscopical Description of Scattering from Distorted Materials

Cited by 1 publication

References 0 publications

Misorientations and geometrically necessary dislocations in deformed copper crystals: A microstructural analysis of X-ray rocking curves

Misorientations and geometrically necessary dislocations in deformed copper crystals: A microstructural analysis of X-ray rocking curves

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