Home Page for 27-750
Texture, Microstructure & Anisotropy
A. D. Rollett, Materials Science and Engineering
Home Page for 27-750, 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 (lecture) files with PDFs
Please note the dates on the filenames
(L1) Introduction for 2016
and as a PDF
Introduction for 2022
and as a PDF
Texture Components, Euler angles , for 2014 (L2) and as a PDF
Texture Components, Euler angles , for 2022 and as a PDF
Symmetry and Orientation Distributions in Euler Space , for 2014 (L3), and as a
PDF
Symmetry and Orientation Distributions in Euler Space , for 2022, and as a
PDF
Intro. to X-ray Pole Figures , for 2014 (L4), and a PDF
Intro. to X-ray Pole Figures , for 2022, and a PDF
Introduction to Orientation Distributions , for 2014 (L5), and as a PDF
Introduction to Orientation Distributions , for 2022, and as a PDF
Volume
Fractions , for 2014, and as a PDF
Volume
Fractions , for 2020, and as a PDF
Calculation of
ODs from PFs , for 2014, and as a PDF
Demo of MTex, analysis of pole figure data to
produce orientation distribxtions , for 2014
with PDF; updated 26 Feb 14
(updated 4 Feb 14)
Anisotropy, part 1, Anisotropic Elasticity , 7 Feb 2022
and as a PDF
Anisotropy, part 2, Single Crystal Plasticity
for 2014, also as a
PDF
Anisotropy, part 2, Single Crystal Plasticity
for 2022, also as a PDF
Anisotropy, part 3, Multi-slip Crystal Plasticity (Taylor model) , for 2022
and as a PDF
Anisotropy, part 4, self-consistent models for polycrystal plasticity , for 2022
and as a PDF
Grain
Boundaries, Misorientation Distributions and Rodrigues vectors
last revised 20 June 2024,
and as a PDF
Coincident Site
Lattices (CSL) and grain boundaries for 17 Mar 14
and as a PDF
Stereology for 5-parameter grain boundary character
determination , for 18 Mar 14
and as a PDF
Rodrigues
vectors and Quaternions , for 2015,
also as a pdf
. Note the copies of the Hamilton and Rodrigues papers
available on this page.
Overview of
Grain Boundary Energy , for 31 Mar 2014
, also as a PDF
Grain
Growth (normal) for 7 Apr 2014
, also as a PDF
Abnormal Grain
Growth for 14 Apr 2014
, also as a PDF
EBSD Data Acquisition guide , 15 Apr 14, also as a
PDF
EBSD Data Acquisition guide , for 2020 also as a
PDF
EBSD data
analysis 18 Apr 14
and as a PDF
EBSD data
analysis for 2020
and as a PDF
Stereology, Image Analysis , 21 Apr 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
Anisotropy, part 6, Relaxed Constraints (RC) Model ,
updated 12 Apr 14
and as a PDF
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 2020 (mini course)
Homework No. 1, due Sep. 6th; exercise on direction cosines and texture components
solutions for Homework No. 1
solutions, Homework No. 2
solutions, Homework No. 3
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
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 WORD and PDF files
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Maintained by A.D. (Tony) Rollett