Home Page for 27-750
Texture, Microstructure & Anisotropy
A. D. Rollett, Materials Science and Engineering

• 27-750 Syllabus, Lecture list, Presentation List , revised May '21
• from 2022, 27-750 Syllabus, Lecture list, Presentation List , revised 2023

• (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 11 Apr 2024 and as a PDF
  
• Grain Boundaries, Misorientation Distributions and Rodrigues vectors revised 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
  
  

• Mid-term exam (take home), DUE 27th Feb.
• (Simulated) Grain Microstructure (TIF format) for Q1 of Homework 5
• (Simulated) Grain Microstructure (PNG format) for Q1 of Homework 5
• (Simulated) Grain Microstructure (JPG format) for Q1 of Homework 5
• Image of carbide particles in Ni alloy for Q2 of Homework 5
  
  

• 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 from VAW Aluminum (round robin) "ALR.EPF"
• 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)
• 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
• Go here to find the source code for psplot.txt
• 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
• Scanned copy of Crystal Model (II-VI)
• Scanned copy of Crystal Model (II-VI)
• 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
• 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
• executable for LApp (PC) XLAPP.EXE
• executable for LApp (PC) LAPP.EXE
• "random20k.wts" file with 200,000 random orientations for use with popLA (WEIGHTS) or LApp
• "demo.vtk", 3D viewable volume for use with Paraview, as mentioned in lecture on Orientation Distributions

Back to the top of the page ...