Home Page for 27-750, Spring 2016,
Texture, Microstructure & Anisotropy
A. D. Rollett, Materials Science and Engineering
Home Page for 27-750, Spring 2016, Texture, Microstructure & Anisotropy
previously titled Advanced Characterization and Microstructural Analysis
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NOTICE: you are welcome to download and use any of the material linked to this page.
Please inform me (rollett -at- andrew dot cmu dot edu ) of any errors that you find, and give
appropriate credit in your use of it (especially to the work of others).
Thank you,
ADR
Syllabus:
List of POWERPOINT and PDF (lecture notes) files
Please note the dates on the filenames: those with 2016 in the name are current
for this Spring Semester.
Certain files are for lectures that will not be given this Fall and their revision dates go back to 2006 in some cases.
As I revise the lecture notes, new files will appear in the 2016 section above the line.
Spring 2016 :
(L1) Introduction
and as a PDF , for Jan. 12th 2016
and the bluejeans recording from Jan. 12th 2016
and the bluejeans recording from Jan. 14th 2016
Data input to R package, ReducedDiameter_StagDerrJih_Cu_A-O.csv
For experimenting with 2d and 3d plots, SmallIN100_gmt_1.dat
Texture Components, Euler angles , for Jan. 19th 2016 (L2) and as a PDF
and the bluejeans recording from Jan. 19th 2016
Symmetry and Orientation Distributions in Euler Space , for Jan. 21st (L3), and as a
PDF
and the bluejeans recording from Jan. 21st 2016
Intro. to X-ray Pole Figures , for Jan. 28th (L4), and a PDF
and the bluejeans recording, 1st half from Jan. 28th 2016
and the bluejeans recording, 2nd half from Jan. 28th 2016
Introduction to Orientation Distributions , for Jan. 28th (L5), and as a PDF
and the bluejeans recording, extra lecture, afternoon of Jan. 28th 2016
Texture induced
anisotropy of sheet, r-value, earing: example of application , for Jan. 28th 2016
Volume
Fractions , for 2 Feb., and as a PDF
and the bluejeans recording from Feb. 2nd 2016
Demo of MTex, analysis of pole figure data to
produce orientation distributions, analysis of EBSD data , for 4 Feb.
with PDF; updated 3 Feb 16
and the bluejeans recording from Feb. 4th 2016
EBSD Data Acquisition guide , 9 Feb 16, also as a
PDF
and the bluejeans recording from Feb. 9th 2016
Guest lecture by Prof. R. Suter (Physics) recording from Feb. 11th 2016
Anisotropy, part 1, Anisotropic Elasticity , 22 Feb 16 (make up lecture)
and as a PDF
recording from Feb. 22nd 2016
Anisotropy, part 2, Single Crystal Plasticity
starting on 23 Feb 16, also as a
PDF
recording from Feb. 23rd 2016
Anisotropy, part 3, Multi-slip Crystal Plasticity (Taylor
model) , updated 23 Feb 2016
and as a PDF;
updated 23 Feb 16
recording, part 1, from Feb. 23rd 2016
recording, part 2 from Feb. 23rd 2016
Anisotropy, part 4, Relaxed Constraints (RC) Model ,
updated 14 Mar 16
and as a PDF
recording from Mar. 15th 2016
Grain
Boundaries, Misorientation Distributions and Rodrigues vectors
for 15 Mar 16, (last revised 14 Mar 16)
and as a PDF
recording from Mar. 15th 2016 (afternoon)
Coincident Site
Lattices (CSL) and grain boundaries for 17 Mar 16
and as a PDF
recording from Mar. 17th 2016
Stereology for 5-parameter grain boundary character
determination , for 22 Mar 16
and as a PDF
recording from Mar. 22 2016, part 1
recording from Mar. 22 2016, part 2
Stereology, Image
Analysis , 24 Mar 16
and as a PDF
and the bluejeans recording from Mar. 24th 2016
EBSD data
analysis 31 Mar 16
and as a PDF
and the bluejeans recording from Mar. 31st 2016
Overview of
Grain Boundary Energy , for 5 Apr 2016
, also as a PDF
and the bluejeans recording from Apr. 5th 2016
recording from Apr. 7th 2016
Grain
Growth (normal) for 19th Apr 2016
, also as a PDF
recording from Apr. 19th 2016
Rodrigues
vectors and Quaternions , 12 Apr 16,
also as a pdf (not recorded)
Abnormal Grain Growth for 21 Apr 2016
, also as a PDF
recording from Apr. 21st 2016
Textures from Thermomechanical Processing of Metals , 26 Apr 16, also as a pdf
recording from Apr. 24th 2016, missing the first 20 minutes
Orientation Relationships , 28 Apr 16, also as a pdf
Calculation of
ODs from PFs , for 3 Feb. 14, and as a PDF
Typical
textures in (fcc) metals, pt 1, 30 Apr 14
and as a PDF
Typical textures in metals (torsion), pt 2
and as a PDF
Typical textures in (hexagonal) metals, pt 3
and as a PDF
Typical textures in metals (recrystallization, composites, welding), pt 4
Fall 2011 :
Texture Components, Euler angles, part 2 , for Sep. 6th (L3), and as a PDF
Symmetry and Orientation Distributions in Euler Space , for Sep. 15th (L6), and as a
PDF
Demo of popLA, analysis of pole figure data to
produce orientation distributions , for 29 Sep. 11
(updated 14 June 12), with PDF
Texture of
high temperature superconductors: example of application , 4 Oct 11
Anisotropy, part 4, Yield Surfaces , 11 Oct 11 (L13)
and as a PDF
... from 2009 ...
lecture on x-ray pole figs by Jason Wolf, (revised Sep. 09) , 3 Sept. 09
Anisotropy, part 3, Introduction to LApp , the Los Alamos polycrystal plasticity code , 6 Oct 09
and as a PDF
Microscopy with Electron Diffraction Overview 20 Oct 09 (L16)
and as a PDF
Intro. to Percolation , 24 Nov 09 (L22)
, also as a PDF
Previous Versions of slides ...
LxxA, Overview of Microscopy methods, part a
LxxB, Overview of Microscopy methods, part b
L14, Typical (fiber, epitaxial) textures in Thin Films , Mar 08
, also as a PDF
LX2, Grain Boundary Properties, part 2, Mobility , 2nd extra lecture, 1 Apr 08
, also as a PDF
Foundational material (mostly math):
Points, Vectors,
Transformations, Rotations (revised Nov '11)
, also as a PDF
Introduction to Group Theory, (Gruber, 5 Mar 07)
Introduction to Quaternions, (Gruber, 7 Mar 07)
Misorientations, Symmetry, and how to calculate them (updated June 09); the lecture on Volume Fractions has much of the same material
Slides of lectures in standard order:
Typical textures in bcc metals, from a seminar at Tata Steel, June 07
slides on SEM diffraction scanning
Micro_1b.ppt, Microscopy Overview, part 1b
Micro_2b_6Mar06.ppt, Microscopy Overview, part 2b
Topology_26Apr06.ppt, Topology
List of Homework (PDF) files for Spring 2016
Homework 1: due Jan 19th
Homework 2, transformations, symmetry,
Matlab plotting: due Jan 27th
Homework 3, pole figures, ODs: due Feb 3rd
Homework 4, pole figures, MTEX, vol. fracs.: due Feb 10th
List of Homework (PDF) files for Spring 2014
Homework 7,
Various topics , DUE 1st May
2nd take-home exam, DUE 6th Apr.
Homework 6,
Misorientations , DUE 26th Mar.
Homework 5, Single Slip
and Multiple Slip (single crystal) plasticity, Volume
fractions , DUE 5th Mar.
Mid-term exam (take home), DUE 23rd Feb.
with Q&A
Homework No. 4, due Feb. 12th;
documentation of MTEX exercises, general questions
solutions for Homework No. 4
Homework No. 3, due Feb. 4th;
randomly oriented material, volume fractions, updated 3 Feb 14
solutions for Homework No. 3
Homework No. 2, due Jan. 29th;
exercise plotting pole figures, variants of a texture
component. Q and A on the Hwk
solutions for Homework No. 2
Homework No. 1, due Jan. 22nd;
exercise on direction cosines and axis transformations
solutions for Homework No. 1
List of Homework (PDF) files for Fall 2011
Homework No. 1, due Sep. 6th; exercise on direction cosines and texture components
solutions for Homework No. 1
Homework No. 2, due Sep. 15th; learning how to compute pole figures
solutions for Homework No. 2
Homework No. 3, Calculate
symmetrically related points , due date = 29 Sep 11
Homework No. 3, solutions
Test on 20 Sep, solutions
Homework No. 4 , due Oct. 5th; exercise on using popLA to analyze pole figure data ; see below for an example of what you should expect to see.
popLA Hwk: RAW data file, Isga.raw, of pole figures from an iron specimen
popLA Hwk: RAW data file, Isgb.raw, of pole figures from a second iron specimen
popLA Hwk: file containing defocusing and background correction information, nominally for iron
Example of answers for Homework on popLA, courtesy of Todd Hoffman
Homework 5, Single Slip
and Multiple Slip (single crystal) plasticity, Volume fractions , DUE 20th Oct. , solutions
Homework 6,
Misorientations , DUE 8th Nov.
2nd Test on 15 Nov, solutions
Homework 7, Various , DUE
11th Dec.
Previous homeworks from 2008 and before ...
List of DATA, WORD and PDF files
Data files
'SmallIN100.zip', archive of
the data set was obtained using the WPAFB FIB by Mike Uchic
and is generally known as 'THE' IN100 data set. It was
acquired on June 25th, 2004 (and following days) and
consists of 170 slices, each one of which is an '.ANG' file. The lowest slice number corresponds
to the slice that was acquired last. See
http://dream3d.bluequartz.net/?p=468
Hwk 1: A8090_99.EPF file of pole figures from FAMU/FSU
Hwk 1: A8090_60.EPF file of pole figures from FAMU/FSU
EPF file of pole figures for an
Aluminum sample from VAW, for use in MTEX analysis,
(was used in a round robin texture analysis exercise) "ALR.EPF"
"random20k.wts" file with 200,000 random orientations for use with popLA (WEIGHTS) or LApp
"demo_unix.vtk", 3D viewable 90x90x90 volume for
use with Paraview, combined deformation and
recrystallization texture, as mentioned in lecture on Orientation Distributions
"demo_Z_COD.vtk", 3D 360x90x90 viewable volume for
use with Paraview, combined deformation and recrystallization texture
popLA files
popLA Manual (PDF)
Instructions on to convert data from XPert to popLA format (DOC)
Set of PC executables PF2PS SODCON, SOD4CON, SMOOTHSOD for plotting pole figures and Orientation Distributions
Set of popLA executables (only the main programs) for intel Macs (must have Developer Tools installed to run)
Links to source code
Source code pf2ps.f for plotting pole figures is provided here (better, however, to use GMT to plot pole figures, so look for "Plotting with GMT"
Source code sodcon.f for plotting Orientation Distribution is provided heres; compile with psplot.txt
Source code sod4con.f for plotting Orientation Distributions with triclinic sample symmetry (COD only) is provided here; compile with psplot.txt
Look here for source code smoothsod.f for smoothing Orientation Distributions
Look here for source code for mill2mat.f as an example of a fortran-77 code for converting Miller indices to a 3x3 matrix
Look here for source code matmult.f as an example of a fortran-77 code for multiplying two 3x3 matrices together
Go here to find the source code for psplot.txt
Make your own paper 'crystal'
Scanned copy of Crystal Model (II-VI)
Scanned copy of Crystal Model (II-VI)
Matlab files
MatLab program example - simple "Hello World"
MatLab program example - how to apply crystal symmetry to an orientation, write out file
MatLab program example - compute crystal and sample symmetry variants
classic papers from the literature
Scanned copy of paper by May & Turnbull (1958) on secondary rex in Fe-Si
Scanned copy of paper by Hamilton (1884) on quaternions
Scanned copy of paper by Rodrigues on rotations (in French!)
Scanned copy of paper by Taylor (1938) on plasticity of single crystals
Scanned copy of paper by the Dawson group (2002) on pole figure inversion using Rodrigues space
Scanned copy of paper by Matthies on pole figure inversion using WIMV
Scanned copy of paper by Matthies comparing different pole figure
inversion methods
Scanned copy of 1965 paper by Dillamore & Roberts about texture
LApp files
executable for LApp (PC) XLAPP.EXE
executable for LApp (PC) LAPP.EXE
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Maintained by A.D. (Tony) Rollett