scholarly journals Application of Anisotropic Texture Components

1997 ◽  
Vol 28 (3-4) ◽  
pp. 181-195 ◽  
Author(s):  
Th. Eschner ◽  
J.-J. Fundenberger
Keyword(s):  
Aluminum Alloy ◽  
Texture Analysis ◽  
Series Expansion ◽  
Texture Component ◽  
Tensile Testing ◽  
Texture Evolution ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Weighted Sum ◽  
Recent Developments

The description of textures in terms of texture components is an established conception in quantitative texture analysis. Recent developments lead to the representation of orientation distribution functions as a weighted sum of model functions, each corresponding to one anisotropic texture component. As was shown previously, an adequate texture description is possible with only a very small number of anisotropic texture components. As a result, textures and texture changes can be described by a small number of vivid parameters and their variations, namely by volume parts, half widths and ideal orientations.The texture of a tensile tested commercial aluminum alloy was investigated by decomposition into anisotropic components. The texture evolution during tensile testing is represented by the corresponding changes of the component parameters and compared with results from an iterative series expansion analysis.

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.

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 An Evaluation of the Single Orientation Method for Texture Determination in Materials of Moderate Texture Strength

1990 ◽  
Vol 12 (1-3) ◽  
pp. 65-76 ◽  
Author(s):  
Stuart I. Wright ◽  
Brent L. Adams
Keyword(s):  
Pole Figure ◽  
Series Expansion ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Correlation Data ◽  
Pole Figures ◽  
Rolled Aluminum ◽  
Orientation Method ◽  
Pole Figure Data ◽  
Single Orientation

New microscopy technology has made it feasible to consider using single orientation measurements to obtain Orientation Distribution Functions (ODF). Single orientations are preferred over pole figure data in ODF calculations because the odd terms of the series expansion are not directly accessible when pole figures are used. However, the number of single orientation measurements required to calculate a statistically reliable ODF has generally been considered too large to practically obtain. This study found that the location of the major features of the ODF in rolled aluminum sheet were identifiable after only 100 measurements. However, the heights of the peaks and the secondary features required many more measurements to stabilize. Unless the orientation measurements can be automated or orientation correlation data is needed the pole figure method remains a more efficient means of obtaining the data necessary to measure texture.

scholarly journals ODF Calculation by Series Expansion from Incompletely Measured Pole Figures Using the Positivity Condition Part I—Cubic Crystal Symmetry

1987 ◽  
Vol 7 (3) ◽  
pp. 171-185 ◽  
Author(s):  
M. Dahms ◽  
H. J. Bunge
Keyword(s):  
Series Expansion ◽  
Iterative Procedure ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Crystal Symmetry ◽  
Cubic Crystal ◽  
Positivity Condition ◽  
Pole Figures ◽  
Orientation Distribution Functions

The calculation of orientation distribution functions (ODF) from incomplete pole figures can be carried out by an iterative procedure taking into account the positivity condition for all pole figures. This method strongly reduces instabilities which may occasionally occur in other methods.

scholarly journals Texture Analysis by Means of Model Functions

1993 ◽  
Vol 21 (2-3) ◽  
pp. 139-146 ◽  
Author(s):  
Th. Eschner
Keyword(s):  
Distribution Function ◽  
Texture Analysis ◽  
Orientation Distribution Function ◽  
Texture Component ◽  
Computational Efficiency ◽  
Special Functions ◽  
Orientation Distribution ◽  
Model Function

The conception of texture components is widely used in texture analysis. Mostly it is used to describe the orientation distribution function (ODF) qualitatively, and there are only a few special functions used to provide texture component calculations.This paper attempts to introduce another model function describing common texture components and giving a compromise between universality and computational efficiency.

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.

In-Situ Texture Measurements by Synchrotron Radiation of TRIP Steel during an Austempering Treatment

2011 ◽  
Vol 702-703 ◽  
pp. 511-514 ◽  
Author(s):  
Roumen H. Petrov ◽  
Orlando León-García ◽  
Hemant Sharma ◽  
Kyoo Young Lee ◽  
S. Eric Offerman ◽  
...  
Keyword(s):  
Texture Evolution ◽  
Orientation Distribution ◽  
High Energy ◽  
Distribution Functions ◽  
Rolled Sheet ◽  
Gamma Phase ◽  
Trip Steels ◽  
Α Phase ◽  
Pole Figures

Texture formation during an austempering treatment of a TRIP-assisted steel was studied by in-situ texture measurements with a high energy source (synchrotron). Samples from a cold rolled sheet were subjected to a complete heat treatment cycle for TRIP steels including reheating to the intercritical (α+γ) temperature region, isothermal soaking and bainitic holding (austempering) at 400°C for 600s. At specific points of the thermal cycle {200}γ, {220}γ {222}γ, {331}γ and {200}α, {211}α and {220}α Debye rings were recorded and the corresponding incomplete pole figures were calculated. The latter were used to derive the orientation distribution functions (ODFs) of BCC and FCC phases at specific steps of the annealing process after assuming the orthotropic sample symmetry. The acquired data for the texture evolution during the α–γ–α phase transformation showed that during the reheating for intercritical annealing the gamma phase with {011} orientation is among the first to nucleate from the recrystallized α phase during heating and the Goss and Cube orientations are among the principal gamma phase components which transform to BCC phase after cooling.

Microstructure and Texture Evolution of a Cold Rolled Ni-Cr-W Alloy after Annealing

2011 ◽  
Vol 702-703 ◽  
pp. 352-355
Author(s):  
Wei Wang ◽  
I. Drouelle ◽  
F. Brisset ◽  
M.H. Mathon ◽  
T. Auger ◽  
...  
Keyword(s):  
Neutron Diffraction ◽  
Cold Rolling ◽  
Texture Evolution ◽  
Orientation Distribution ◽  
Hydrogen Atmosphere ◽  
Fiber Texture ◽  
Distribution Functions ◽  
Stored Energy ◽  
Electron Backscattered Diffraction ◽  
Cold Rolled

A Ni-5.7%Cr-25.2%W (wt%) alloy was deformed by cold rolling in different reduction conditions (50%, 70%, and 90%) and then annealed under hydrogen atmosphere. Microstructure and texture evolutions were analyzed using Electron BackScattered Diffraction (EBSD). Orientation Distribution Functions (ODFs) and stored energy were calculated from neutron diffraction measurements. A strengthening of the α-fiber texture was observed after 90% cold rolling and a homogenous microstructure was obtained after annealing at 900°C.

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