scholarly journals The Development of Rolling Texture in α-Brass Determined by Neutron Diffraction

Texture ◽  
1974 ◽  
Vol 1 (4) ◽  
pp. 211-231 ◽  
Author(s):  
J. Tobisch ◽  
A. Mücklichf
Keyword(s):  
Neutron Diffraction ◽  
Three Dimensional ◽  
Rolling Texture ◽  
Orientation Distribution ◽  
Zinc Alloy ◽  
Tube Axis ◽  
Pole Figures ◽  
Cold Rolled

The three-dimensional orientation distribution was calculated from neutron diffraction pole figures for a copper 27.2% zinc alloy cold rolled to different degrees of deformation. The results agree qualitatively with those of other authors. There are however differences in the quantitative respect which influence the conclusions to be drawn. For rolling degrees lower than about 70% the texture exhibits an orientation tube similar to that of the copper type, but with a significantly different distribution along the tube axis. For rolling degrees larger than 70% the texture can be described by the orientation {110}〈112〉. The deformation is assumed to occur according to the Wassermann model and the Hu model respectively in these two ranges.

The development of the rolling texture in copper measured by neutron diffraction

1971 ◽  
Vol 4 (4) ◽  
pp. 303-310 ◽  
Author(s):  
H. J. Bunge ◽  
J. Tobisch ◽  
W. Sonntag
Keyword(s):  
Neutron Diffraction ◽  
Texture Component ◽  
Deformation Mechanism ◽  
Three Dimensional ◽  
Rolling Texture ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Anisotropic Hardening ◽  
Pole Figures ◽  
Cold Rolled

Three-dimensional orientation distribution functions of the crystallites in copper sheets, cold rolled to different degrees of reduction, have been determined using neutron diffraction pole figures. The main features of the textures may be represented by the orientation `tube' already described in prior publications. Two ranges of rolling reduction can be distinguished, a lower one (30 to 50%) and a higher one (70 to 95%) the texture changes of which correspond to those calculated after the Taylor theory. In an intermediate range (50 to 70%) a different deformation mechanism occurs which leads to an intermediate (001) [110] texture component. It is supposed that anisotropic hardening may have occurred in this range.

scholarly journals Cyclic Textures in Aluminium Wires

Texture ◽  
1972 ◽  
Vol 1 (1) ◽  
pp. 31-49 ◽  
Author(s):  
U. Schläfer ◽  
H. J. Bunge
Keyword(s):  
Neutron Diffraction ◽  
Three Dimensional ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Axially Symmetric ◽  
Fibre Texture ◽  
Pole Figures ◽  
Processing Variables ◽  
Orientation Distribution Functions ◽  
The Wire

Three-dimensional orientation distribution functions were calculated from neutron diffraction pole figures of unwound cylinders taken at different distances from the centre of cold drawn Al-wires. Their features change from the axially symmetric type at the very centre of the wire towards a texture near to the rolling type at the surface. Relations between the three-dimensional function and ordinary fibre texture pole figures were used to study the dependence of the textures on certain processing variables for cold drawn as well as recrystallized wires.

scholarly journals A New Approach to Describing Three-Dimensional Orientation Distribution Functions in Textured Materials—Part II: Model ODF for Rolling Textures

1994 ◽  
Vol 22 (3) ◽  
pp. 169-175 ◽  
Author(s):  
V. N. Dnieprenko ◽  
S. V. Divinskii
Keyword(s):  
Three Dimensional ◽  
Rolling Texture ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Crystallite Orientation ◽  
New Approach ◽  
Texture Axis ◽  
Pole Figures ◽  
Spread Parameters ◽  
Textured Materials

Sections of a three-dimensional Orientation Distribution Function (ODF) for the α-Fe rolling texture typical for most b.c.c. metals have been constructed on the basis of the proposed new method for ODF simulation through the representation of a crystallite orientation by nine rotations, only three of which are varied for a given component. The description of texture by superposition of partial fibre components in used. A comparison of such a model ODF with an ODF reconstructed from experimental pole figures by series expansion is presented. As a result all really encountered textures can be simulated by variation of the crystallite spread parameters, texture axis positions, and predominant preferred orientations in terms of a common approach.

scholarly journals The Development of the Rolling Texture of Iron Determined by Neutron-Diffraction

Texture ◽  
1974 ◽  
Vol 1 (3) ◽  
pp. 157-171 ◽  
Author(s):  
D. Schläfer ◽  
H. J. Bunge
Keyword(s):  
Carbon Steel ◽  
Neutron Diffraction ◽  
Three Dimensional ◽  
Low Carbon Steel ◽  
Rolling Texture ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Fibre Axis ◽  
Low Carbon ◽  
Angle Of Rotation

The development of the rolling texture of a low carbon steel was investigated by neutron diffraction calculating three-dimensional orientation distribution functions. The textures consist of two limited fibre axis components A and B centered about (1¯1¯1)[1¯21]+5∘ and (001)[1¯10] respectively with an angle of rotation of about 70∘. For rolling degrees larger than 50% the intensity of the fibre axis component A is being modulated so as to favour the orientation (1¯1¯2)[1¯10]. The texture may be considered as inverse to the low concentration brass texture in the sense of interchanging rolling and normal directions. It may be understood in terms of {110}〈111〉—glide and {112}〈111〉—twinning.

scholarly journals Energy Dispersive Diffractometry for Quantitative Texture Studies

1990 ◽  
Vol 12 (4) ◽  
pp. 243-247 ◽  
Author(s):  
J. A. Szpunar
Keyword(s):  
Distribution Function ◽  
Neutron Diffraction ◽  
Pole Figure ◽  
Orientation Distribution ◽  
Energy Dispersive ◽  
Rolled Steel ◽  
Pole Figures ◽  
Cold Rolled ◽  
Expansion Coefficients

Energy dispersive diffractometry is becoming a useful tool for texture measurements. In this work we demonstrated that the intensity measured at points in four inverse pole figures for cold-rolled steel can be used to calculate the orientation distribution function (ODF) with an accuracy sufficient for the determination of about 12 series expansion coefficients. A pole figure generated from such a selective experiment agrees with the pole figure measured by neutron diffraction.

scholarly journals Comparison of Results of Texture Measurements Obtained by X-Ray and by Neutron Diffraction

1993 ◽  
Vol 21 (4) ◽  
pp. 195-206 ◽  
Author(s):  
O. Engler ◽  
J. Palacios ◽  
W. Schäfer ◽  
E. Jansen ◽  
K. Lücke ◽  
...  
Keyword(s):  
Neutron Diffraction ◽  
High Purity ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
X Ray ◽  
Comparison Of Results ◽  
Pole Figures ◽  
Measuring Techniques ◽  
Cold Rolled ◽  
Purity Copper

Texture measurements were carried out on 95% cold rolled and also on recrystallized high purity copper sheets by means of X-ray and neutron diffraction. The purpose of this study was to compare the results obtained by the two different measuring techniques and also to test the accuracy of the corrections normally used for deriving pole figures from X-ray data. In sheets containing texture inhomogeneities, X-ray pole figures were measured at different distances from the surface and two methods of producing averaged pole figures comparable to neutron measurements were applied. From the X-ray and from the neutron determined pole figures orientation distribution functions (ODF's) were calculated. The resulting differences which are less than 10% are discussed.

scholarly journals Approximation of the Orientation Distribution of Grains in Polycrystalline Samples by Means of Gaussians

1992 ◽  
Vol 19 (1-2) ◽  
pp. 9-27 ◽  
Author(s):  
D. I. Nikolayev ◽  
T. I. Savyolova ◽  
K. Feldmann
Keyword(s):  
Rolling Texture ◽  
Expansion Method ◽  
Operating Mode ◽  
Orientation Distribution ◽  
New Method ◽  
Gaussian Distributions ◽  
Positivity Condition ◽  
The Central Limit Theorem ◽  
Pole Figures ◽  
Series Expansion Method

The orientation distribution function (ODF) obtained by classical spherical harmonics analysis may be falsified by ghost influences as well as series truncation effects. The ghosts are a consequence of the inversion symmetry of experimental pole figures which leads to the loss of information on the “odd” part of ODF.In the present paper a new method for ODF reproduction is proposed. It is based on the superposition of Gaussian distributions satisfying the central limit theorem in the SO(3)-space as well as the ODF positivity condition. The kind of ODF determination offered here is restricted to the fit of Gaussian parameters and weights with respect to the experimental pole figures. The operating mode of the new method is demonstrated for a rolling texture of copper. The results are compared with the corresponding ones obtained by the series expansion method.

scholarly journals Texture Analysis of a Zinc Layer on a Steel Substrate Using Neutron Diffraction

1993 ◽  
Vol 21 (2-3) ◽  
pp. 71-78
Author(s):  
H.-G. Brokmeier
Keyword(s):  
Distribution Function ◽  
Neutron Diffraction ◽  
Texture Analysis ◽  
Orientation Distribution Function ◽  
Steel Substrate ◽  
Orientation Distribution ◽  
Pole Figures ◽  
Iron And Zinc

This paper describes the application of neutron diffraction to investigate the texture of a zinc layer 8 μm in thickness. In a nondestructive way both the texture of the zinc layer as well as the texture of the steel substrate were studied. Therefore, pole figures of iron ((110), (200) and (211)) and of zinc ((0002), (101¯0), (101¯1); and (101¯3)/(112¯0)) were measured; additionally the orientation distribution function of iron and zinc were calculated.

On the Longtime Stability of a Copper Rolling Texture Analysed by Neutron Diffraction Pole Figures

1998 ◽  
Vol 278-281 ◽  
pp. 502-507
Author(s):  
E. Jansen ◽  
Wolfgang Schäfer ◽  
A. Kirfel ◽  
J. Palacios
Keyword(s):  
Neutron Diffraction ◽  
Rolling Texture ◽  
Pole Figures

Quantitative Texture Analysis and Phase Fraction of Nickel-Titanium Shape Memory Alloys by Means of Neutron Diffraction

2004 ◽  
Vol 443-444 ◽  
pp. 267-270 ◽  
Author(s):  
H. Sitepu ◽  
Heinz Günter Brokmeier
Keyword(s):  
Neutron Diffraction ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Orientation Distribution ◽  
Nickel Titanium ◽  
Phase Fraction ◽  
Polycrystalline Nickel ◽  
Minor Variation ◽  
Pole Figures ◽  
Niti Shape Memory Alloys

The orientation distribution function (ODF) of the textured polycrystalline nickel titanium (NiTi) shape memory alloys (SMAs) was determined from the measured austenitic (B2)pole-figures by neutron diffraction. The texture results showed that neutron diffraction is an excellent tool to investigate the minor variation in the texture of NiTi alloys, which is very sensitive to the variation of the content of nickel in the materials. Moreover, the alloys crystallographic phase fraction and texture were calculated from Rietveld refinement with generalized spherical harmonic (GSH) description for the measured complete neutron powder diffraction (ND) spectrum, rather than a few isolated peaks, during in-situ temperature-induced martensitic transformation. The phase fraction results are consistent with the differential scanning calorimeter (DSC) curves.

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