scholarly journals Microtexture Characterization by EBSP in Iron and Titanium Alloys

1993 ◽  
Vol 20 (1-4) ◽  
pp. 165-177 ◽  
Author(s):  
R. Penelle ◽  
T. Baudin
Keyword(s):  
Titanium Alloy ◽  
Distribution Function ◽  
Good Accuracy ◽  
Orientation Distribution ◽  
Orientation Measurement ◽  
X Ray ◽  
Pole Figures ◽  
Main Components ◽  
The Individual ◽  
The Right

The Orientation Distribution Function (O.D.F.) calculation is usually performed using pole figures measured by X-ray or neutron diffraction. However, this kind of experimental technique does not allow to determine a total ODF since the odd terms of the series expansion are not directly accessible from pole figures. The individual orientation measurement technique can be used but it is necessary to estimate the right orientation number necessary to calculate a statistically reliable ODF. For samples at the surface, at the fifth of the thickness from the surface and at the centre of a Fe 3% Si sheet, the present study shows that only 100 orientations are sufficient to find the main components of the texture but this number must be increased by a factor 10 to evaluate with a rather good accuracy the height of the peaks. In the case of a titanium alloy so called TA6V 350 orientations appear to be sufficient.

Quantitative X-Ray Analysis of Deformation Microtexture within Individual Grains

2005 ◽  
Vol 495-497 ◽  
pp. 983-988
Author(s):  
N.Yu. Ermakova ◽  
Nikolay Y. Zolotorevsky ◽  
Yuri Titovets
Keyword(s):  
Distribution Function ◽  
Uniaxial Compression ◽  
Orientation Distribution Function ◽  
Orientation Distribution ◽  
X Ray ◽  
Pole Figures ◽  
Single Grain ◽  
Individual Grains

The method is described which enables to determine the microtexture that is the orientation distribution within individual grains of a polycrystal. The microtexture is evaluated on the base of X-ray pole distributions measured for separate reflections, referred to as microscopic pole figures (MPF). The procedure for treatment of experimental MPF and the following computation of orientation distribution function is described in detail. Precision of the microtexture evaluation and possible ways of its improvement are discussed. As an example of the method application, orientation distribution within a single grain of aluminum polycrystal deformed by uniaxial compression up to 50% has been examined.

Polycrystal elastic constants for triclinic crystal and physical symmetry

2006 ◽  
Vol 39 (4) ◽  
pp. 502-508 ◽  
Author(s):  
Peter R. Morris
Keyword(s):  
Distribution Function ◽  
Orientation Distribution Function ◽  
Orientation Distribution ◽  
Weight Functions ◽  
Higher Symmetry ◽  
X Ray ◽  
Pole Figures ◽  
Generalized Spherical Harmonics ◽  
Physical Symmetry ◽  
Symmetry Operations

The problem of obtaining the Voigt average for the elastic stiffnesses with texture-describing weight functions has been solved for triclinic crystal and physical symmetries. The average is obtained by expanding theTijklmnpq, which relate the elastic stiffnesses in the rotated reference frame, c^{\,\prime}_{ijkl}, to those of the principal elastic stiffnesses,cmnpq, in generalized spherical harmonics, multiplying by the orientation distribution function and integrating over all orientations. The condition imposed to assure a unique expansion results in the absence of terms with oddL, so that the results are completely determinable from conventional X-ray pole figures. This is the most general case, from which all higher-symmetry solutions may be obtained by application of symmetry operations. The Reuss average for elastic compliances may be obtained in a similar fashion.

Preferred crystallographic orientation in mature and juvenile wood

2007 ◽  
Vol 222 (3-4) ◽  
Author(s):  
Jan T. Bonarski ◽  
Wieslaw Olek
Keyword(s):  
Distribution Function ◽  
Juvenile Wood ◽  
Microfibril Angle ◽  
Orientation Distribution ◽  
Experimental Methods ◽  
X Ray Diffraction ◽  
Traditional Concept ◽  
X Ray ◽  
Pole Figures ◽  
The Mean

Investigations of the crystallograpically organized regions of mature and juvenile Scots pine wood were performed. Experimental methods of X-ray diffraction were applied. Incomplete pole figures were measured, in order to calculate the orientation distribution function. The differences in the texture of the mature and juvenile wood were determined. The traditional concept of the mean microfibril angle was enhanced by developing the misorientation parameters. Evident differences in the space arrangement of cellulose of the both zones of wood were identified and described.

On the Symmetry of Orientation Distribution in Crystal Aggregates

1969 ◽  
Vol 13 ◽  
pp. 435-454
Author(s):  
David W. Baker
Keyword(s):  
Distribution Function ◽  
Orientation Distribution Function ◽  
Orientation Distribution ◽  
Spherical Harmonic Analysis ◽  
Euler Angles ◽  
Cartesian Coordinate System ◽  
X Ray ◽  
Pole Figures ◽  
Grain Orientations ◽  
Cartesian Coordinate

In a number of laboratories data from the X-ray pole-figure goniometer are now processed numerically to obtain a suite of complete and normalized pole- figures. From these pole-figures the preferred orientat ion of the grains in a monomineralic aggregate is determined using spherical harmonic analysis and represented as a frequency distribution of the Euler angles Ψ, θ, ø, termed the “orientation distribution function” (ODF),When the frequency density of grain orientations is plotted in a Cartesian coordinate system with Ψ, θ, ø, as axes,it must have a translation periodicity Of 2π or less along each of the axes, because the Euler Angles are angles of rotation.

Texture evolution in metals under mechanical stress: Application of a tensile stage on a laboratory X-ray system

2015 ◽  
Vol 1754 ◽  
pp. 123-128 ◽  
Author(s):  
J. te Nijenhuis ◽  
N. Dadivanyan ◽  
D.J. Götz
Keyword(s):  
Distribution Function ◽  
Mechanical Stress ◽  
Orientation Distribution Function ◽  
Mechanical Load ◽  
Texture Evolution ◽  
Orientation Distribution ◽  
Uniaxial Tensile ◽  
X Ray ◽  
Pole Figures ◽  
Main Component

ABSTRACTThe evolution of texture in copper has been studied in situ as a function of the applied mechanical stress. A uniaxial tensile stage was integrated onto a Eulerian cradle in a laboratory X-ray diffraction system, providing a platform for pole figure measurements on samples under an externally applied mechanical load. Thin strips of rolled copper were investigated at various stages of elongation. The pole figures were of good quality such that the orientation distribution function could be well determined. Changes in the orientation distribution function as a function of strain along the β-fiber could be clearly observed; the initial main component S is replaced by the Copper component at higher stages of elongation.

Estimation of the Minimum Grain Number for the Orientation Distribution Function Calculation from Individual Orientation Measurements on Fe–3%Si and Ti–4Al–6V Alloys

1995 ◽  
Vol 28 (5) ◽  
pp. 582-589 ◽  
Author(s):  
T. Baudin ◽  
J. Jura ◽  
R. Penelle ◽  
J. Pospiech
Keyword(s):  
Experimental Data ◽  
Distribution Function ◽  
Neutron Diffraction ◽  
Orientation Distribution Function ◽  
Orientation Distribution ◽  
Grain Number ◽  
X Ray ◽  
Pole Figures ◽  
Function Calculation ◽  
Single Orientation

The calculation of characteristics describing texture as well as relations between orientations and morphological features of microstructure are based on single orientation measurements. For such experimental data, it is essential to estimate the number of necessary measurements of single orientations for a statistically significant representation of the investigated quantity, which, in the present paper, is the orientation distribution function (ODF). In a previous article [Pospiech, Jura & Gottstein (1993) Mater Sci. Forum, 157–162, 407–412], this number has been estimated by a criterion that is used here for a cubic and a hexagonal material. This approach is very useful since it allows one to estimate the minimum orientation number with or without referring to an ODF calculated from pole figures measured by X-ray or neutron diffraction.

scholarly journals Investigation of Texture Structure and Mechanical Properties Evolution during Hot Deformation of 1565 Aluminum Alloy

2016 ◽  
Vol 854 ◽  
pp. 73-78 ◽  
Author(s):  
S.V. Rushchits ◽  
Evgenii V. Aryshenskii ◽  
Rudolf Kawalla ◽  
Vladimir Serebryany
Keyword(s):  
Mechanical Properties ◽  
Distribution Function ◽  
Deformation Behavior ◽  
Mechanical Treatment ◽  
Texture Evolution ◽  
Orientation Distribution ◽  
X Ray ◽  
Pole Figures ◽  
Series Alloy ◽  
Texture Structure

The article is devoted to study of mechanical properties and texture evolution during thermal mechanical treatment of new aluminum 5XXX series alloy (1565 ch in Russian naming system). For the investigation of deformation behavior of 1565ch alloy a Gleeble axial compression mode is used. The expression for steady flow stress as the functions of temperature of deformation and strain rate is obtained. For texture evolution investigation industrial mills is used. Texture evaluation is performed using the orientation distribution function (ODF) calculated from the X-ray direct pole figures

MISORIENTATION DISTRIBUTION FUNCTION FOR CUBIC CRYSTALS

2019 ◽  
Vol 85 (5) ◽  
pp. 28-32
Author(s):  
A. S. Kolyanova ◽  
Y. N. Yaltsev
Keyword(s):  
Distribution Function ◽  
Grain Boundaries ◽  
Orientation Distribution ◽  
Recrystallization Annealing ◽  
Misorientation Distribution ◽  
Cubic Crystals ◽  
Special Boundaries ◽  
Pole Figures ◽  
Two Samples ◽  
Euler Space

A calculation method for obtaining the misorientation distribution function (MDF) for cubic crystals which can be used to estimate the presence or absence of special boundaries in the materials is presented. The calculation was carried out for two samples of Al-Mg-Si alloy subjected to various mechanical and thermal treatments: the first sample is subjected to rolling; the second sample is subjected to recrystallization annealing. MDF is calculated for each sample; the results are presented in the Euler space and in the angle-axis space. The novelty of the method consists in the possibility of gaining data on the grain boundaries from X-ray texture analysis without using electron microscopy. A calculation involving only mathematical operations on matrices was performed on the basis of the orientation distribution function restored from incomplete pole figures. It is shown that no special boundaries are observed in the deformed sample, whereas in the recrystallized alloy, special boundaries are detected at Ʃ = 23, 13, and 17. The shortcoming of the proposed method can be attributed to the lack of accurate data on grain boundaries, since all possible orientation in the polycrystal should be taken into account in MDF calculation.

Textures Applied to Mechanical Processing Technology Assessment in Ancient Bronze

2005 ◽  
Vol 495-497 ◽  
pp. 719-724
Author(s):  
R.E. Bolmaro ◽  
B. Molinas ◽  
E. Sentimenti ◽  
A.L. Fourty
Keyword(s):  
Orientation Distribution ◽  
Distribution Functions ◽  
Archaeological Sites ◽  
Mechanical Processing ◽  
Post Processing ◽  
X Ray Diffraction ◽  
Mechanical Process ◽  
X Ray ◽  
Pole Figures ◽  
Microscopic Inspection

Some ancient metallic art craft, utensils, silverware and weapons are externally undistinguishable from modern ones. Not only the general aspect and shape but also some uses have not changed through the ages. Moreover, when just some small pieces can be recovered from archaeological sites, the samples can not easily be ascribed to any known use and consequently identified. It is clear that mechanical processing has changed along history but frequently only a "microscopic" inspection can distinguish among different techniques. Some bronze samples have been collected from the Quarto d’Altino (Veneto) archaeological area in Italy (paleovenetian culture) and some model samples have been prepared by a modern artisan. The sample textures have been measured by X-ray Diffraction techniques. (111), (200) and (220) pole figures were used to calculate Orientation Distribution Functions and further recalculate pole figures and inverse pole figures. The results were compared with modern forging technology results. Textures are able to discern between hammering ancient techniques for sheet production and modern industrial rolling procedures. However, as it is demonstrated in the present work, forgery becomes difficult to detect if the goldsmith, properly warned, proceeds to erase the texture history with some hammering post-processing. The results of this contribution can offer to the archaeologists the opportunity to take into consideration the texture techniques in order to discuss the origin (culture) of the pieces and the characteristic mechanical process developed by the ancient artisan. Texture can also help the experts when discussing the originality of a certain piece keeping however in mind the cautions indicated in this publication.

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