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 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.

scholarly journals A New Approach to Describing Three-Dimensional Orientation Distribution Functions in Textured Materials–Part I: Formation of Pole Density Distribution on Model Pole Figures

1993 ◽  
Vol 22 (2) ◽  
pp. 73-85 ◽  
Author(s):  
V. N. Dnieprenko ◽  
S. V. Divinskii
Keyword(s):  
Coordinate System ◽  
Texture Component ◽  
Three Dimensional ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Pole Density ◽  
Texture Axis ◽  
Pole Figures ◽  
Orientation Distribution Functions ◽  
Textured Materials

New method for simulation of orientation distribution functions of textured materials has been proposed. The approach is based on the concept to describe any texture class by a superposition of anisotropic partial fibre components. The texture maximum spread is described in a “local” coordinate system connected with the texture component axis. A set of Eulerian angles γ1,γ2,γ3 are introduced with this aim. To specify crystallite orientations with respect to the sample coordinate system two additional sets of Eulerian angles are introduced besides γ1,γ2,γ3. One of them, (Ψ0,θ0,ϕ0), defines the direction of the texture axis of a component with respect to the directions of the cub. The other set, (Ψ1,θ1,ϕ1), is determined by the orientation of the texture component and its texture axis in the sample coordinate system. Analytical expressions approximating real spreads of crystallites in three-dimensional orientation space have been found and their corresponding model pole figures have been derived. The proposed approach to the texture spread description permits to simulate a broad spectrum of real textures from single crystals to isotropic polycrystals with a high enough degree of correspondence.

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 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 Development of Rolling Textures in an Austenitic Stainless Steel

1992 ◽  
Vol 19 (1-2) ◽  
pp. 101-121 ◽  
Author(s):  
C. D. Singh ◽  
V. Ramaswamy ◽  
C. Suryanarayana
Keyword(s):  
Stainless Steel ◽  
Austenitic Stainless Steel ◽  
Shear Bands ◽  
Three Dimensional ◽  
Rolling Texture ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Texture Development ◽  
Slip Planes ◽  
Heterogeneous Deformation

Three dimensional texture analysis by means of orientation distribution functions (ODF) was used to examine the texture development during rolling at 473 K in an austenitic stainless steel. With the help of ODFs results, the different stages of texture development could be assigned to the existing theories of heterogeneous deformation mechanisms of low SFE face-centred cubic metals. The texture at very low degree of rolling consists of two limited orientation tubes with their fibre axes 〈110〉//ND and 〈110〉60∘ND and agrees with the predictions made by Taylor model. With further deformation, twinning causes the reduction of ≈{112}〈111〉 component and leads to the formation of twin {552}〈115〉. Abnormal slip on slip planes parallel to the twin boundaries rotates the twins into the {332}〈113〉 and {111}〈110〉 positions. The shear bands formation in the rotated twin-matrix lamellae changes their orientations near to {011}〈100〉 and {011}〈112〉 positions. Finally, normal slip again continues and sharpens the brass-type rolling texture.

Texture Evolution in Rolled Mg-13wt%Li-X Alloy

2007 ◽  
Vol 546-549 ◽  
pp. 347-350 ◽  
Author(s):  
Li Li ◽  
Tie Tao Zhou ◽  
Huan Xi Li ◽  
Chang Qi Chen ◽  
Qiu Lin Wu ◽  
...  
Keyword(s):  
Texture Evolution ◽  
Orientation Distribution ◽  
Fiber Texture ◽  
Distribution Functions ◽  
Thickness Reduction ◽  
Rolled Sheet ◽  
Pole Figures ◽  
Cold Rolled ◽  
Orientation Distribution Functions

Texture evolution in Mg-13wt%Li-X alloy cold-rolled from 1.35 mm to 0.34 mm thickness was investigated, by obtaining pole figures and orientation distribution functions (ODFs). Punching tests were conducted to reveal the effect of texture nature on formability. It was found that: (1) the textures of the as-received sheet are characterized by α fiber texture, a γ fiber texture and a cubic texture in both cold-rolled and annealed conditions; (2) with thickness reduction though rolling, the intensity of the γ fiber texture continuously increases and finally the γ fiber texture connects into {111} tube texture, the texture of <11 0> orientation flows towards {223}<11 0> along α fiber, the cubic texture of {001}<100> turns into {035}<100>, while some grains concentrate at {011}<41 1> orientation; (3) good punching behavior of the cold-rolled sheet corresponds to the appearance of a well-developed γ fiber texture.

Effect of Asynchronous Rolling on Deforming Texture in Al Alloy 6111

2011 ◽  
Vol 299-300 ◽  
pp. 127-130
Author(s):  
Yang Chen ◽  
Qi Mei Gao ◽  
Ni Tian
Keyword(s):  
Velocity Ratio ◽  
Rolling Texture ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Al Alloy ◽  
Thickness Direction ◽  
Center Layer ◽  
Synchronous Rolling ◽  
Asynchronous Rolling ◽  
Cold Rolled

The rolling texture and its distribution along thickness direction in the Al alloy 6111 sheet cold rolled by synchronous Rolling and asynchronous rolling have been investigated with orientation distribution functions. The results show that the texture distribution is asymmetric on both sides of center layer of the sheet after cross shear rolling. The orientation densities of the main texture compounds on the slow roller side are higher, but are lower on the fast rolled side. The asymmetry of the texture distribution increases with improving the velocity ratio of asynchronous rolling.

Evaluation of Developed Texture during Cold-Rolling Deformation of Ti-Nb-Ta-Zr Biocompatible Alloy

2013 ◽  
Vol 592-593 ◽  
pp. 366-369
Author(s):  
Vasile Danut Cojocaru ◽  
Isabelle Thibon ◽  
Doina Raducanu ◽  
Ion Cinca ◽  
Thierry Gloriant ◽  
...  
Keyword(s):  
Corrosion Resistance ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Mechanical Processing ◽  
Specific Strength ◽  
High Specific Strength ◽  
Ti Alloys ◽  
Pole Figures ◽  
Cold Rolled ◽  
Rolling Deformation

During the last decade the titanium alloys were extensively used in a variety of applications due to their good mechanical properties, high biocompatibility and corrosion resistance. β-type Ti alloys composed of Nb, Ta and Zr elements have received much attention, because they feature high specific strength, bio-corrosion resistance, no allergic problems and biocompatibility. A Ti-29Nb-9Ta-10Zr (wt.%) alloy was subjected to thermo-mechanical processing and testing. Two states were investigated: recrystallized and 80% cold-rolled. Data concerning phase structure and developed texture, expressed by Inverse Pole Figures (IPFs) and Orientation Distribution Functions (ODFs), was obtained and analyzed.

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