## Week 1: Learning Crystallographic Texture Analysis with MTEX

Date: 21.03.2022 - 25.03.2022

During the first week we provide on a daily basis two morning lectures covering the basic theoretical principles of crystallography, diffraction and texture analysis. During the two afternoon exercises the theoretical concepts will be demonstrated via practical examples within MTEX.

#### Monday: Crystal Lattices and Rotations

Lecture 1 - General Concepts: video , slides
Matlab basics and general concepts of MTEX, the class vector3d, spherical coordinates

Lecture 2 - Crystal Lattice: slides , video 1 , video 2
crystal lattice, direct and reciprocal coordinate system, Miller indices, zonal axes, crystal shapes

Lecture 3 - Rotations and Crystal Symmetries: slides , zoom seesion
rotation representations, Euler angles, Rodrigues vectors, visualizations, fibers, crystal symmetries, point groups, Laue groups, space groups, fundamental sectors

Exercise 1: zoom session 13:00-14:00 , exercises

#### Tuesday: Crystal Symmetries and Orientations

Lecture 4 - Orientations: video , slides symmetrically equivalent orientations, pole figures, inverse pole figures, visualizations, parameterization

Lecture 5 - Density Functions: video , slides
kernel density estimation, orientation density function, pole density function, inverse pole density function, model ODFs, ODF characteristics, random sampling

Lecture 6 - ODF Reconstruction from Pole Figure Data: video , slides
X-ray, neutron and synchrotron diffraction, data import, ghost correction, ODF estimation

Exercise 2: video , exercises , solutions

#### Wednesday: Electron Backscatter Diffraction (EBSD)

Lecture 7 - EBSD: video , slides
data import, pole figures, inverse pole figures, color keys, reference frame, properties

Lecture 8 - Grains: video , slides
grain reconstruction, shape properties, orientation properties

Exercise 3 - EBSD: video , exercises , data , solutions
Exercise 4 - Grains: video , exercises , solutions

#### Thursday: Misorientations

Lecture 9 - Misorientations: video , slides
definition, visualization, phase transitions, misorientation axis, misorientation angle distribution, KAM, GOS

Lecture 10 - Grain Boundaries: video , slides
geometric properties, visualization, smoothing, tilt vs. twist boundaries, grain boundary misorientations

Exercise 5 - Grain Boundaries: video , exercises , data , solutions
Exercise 6 - Denoising EBSD Data and Misorientations: video , slides , data

#### Friday: Tensorial Properties

Lecture 11 - Plastic / Elastic Deformation: video , slides
stress, strain, deformation tensors, slip systems, Schmid Factor, dislocation systems, GND

Lecture 12 - Tensorial Properties: video , slides , m-file
wave velocities, visualization, average tensors (Voigt, Reuss, Hill) from EBSD and ODF

Exercise 7 - Tensorial Properties: video , exercises , data , solutions

Times: Lecture 1: 8:45-10:00, Lecture 2: 10:30 - 11:45, Exercise 1: 13:00-14:30, Exercise 2: 15:00 - 16:00

## Week 2: MTEX in Applications

Date: 28.03.2022 - 30.03.2022

The second week will consist of lectures by invited experts that explain in detail the application of MTEX to specific problems as listed below. Furthermore, current or future users of MTEX are invited to share their experiences with MTEX or ask questions about specific use cases. To encourage discussions we plan with slots of 20 minutes talk given by the participants followed by 10 minute discussions. As we expect a very heterogeneous auditorium we kindly ask the participant to keep their talks as simple as possible.

### Keynote Speakers

• Sébastien Merkel (Université de Lille, France): Microstructures in Earth mantle minerals: using MTEX to track grains and physical properties of polycrystals in high pressure experiments
• Wolfgang Pantleon (DTU Dänemark)
• Tijmen Vermeij (TU/e Eindhoven University of Technology): Exploiting MTEX for alignment, analysis and identification of microstructure-correlated strain fields in micron-scale testing
• Bjørn Eske Sørensen (Norwegian University of Science and Technology): MTEX a versatile toolbox for the geologist enabling better implementation of crystallography and texture analysis in teaching and research
• Omero Orlandini (University of Colorado Boulder): Deep earthquakes, super-volcanoes, fossil eggs, and historic buildings: MTEX’s ability to solve many problems

## Time Schedule

#### Monday: Parent Grain Reconstruction and more

Time Speaker Title
9:00−10:00 F. Niessen Parent Grain Reconstruction in MTEX - the new variant graph approach
10:00−10:30 T. Nyyssönen Challenges in reconstructing Austenitinic twins Reconstruction
10:30−11:00 M. Witte Applications of Austenite Reconstruction
11:00−11:30
Lunch
13:30−14:30 T. Vermeij Exploiting MTEX for alignment, analysis and identification of microstructure-correlated strain fields in micron-scale testing
14:30−15:00 C. Cayron Grain reconstruction by using groupoid composition tables
15:00−15:30 L. Germain Reconstructions with Merengue 2 and perspectives of development
15:30−16:00 B. Britton Parent grain reconstruction in Zircaloy-4: comparison of methods and post processing

#### Tuesday: MTEX in Geology

Time Speaker Title
9:00−10:00 B. Soerensen MTEX a versatile toolbox for the geologist enabling better implementation of crystallography and texture analysis in teaching and research
10:00−10:30 Lopez−Sanchez Unravelling dynamic recrystallization by subgrain rotation in olivine using MTEX
10:30−11:00 Sheng Fan Weighted Burgers vector method combined with MTEX to quantify the slip system in ice
11:00−11:30 K. Marquardt Influence of grain boundaries on the rheology of the Earth's upper mantle
Lunch
13:30−14:30 O. Orlandini Deep earthquakes, super-volcanoes, fossil eggs, and historic buildings: MTEX's ability to solve many problems
14:30−15:00 Z. Michels
15:00−15:30 M. Allard Coupled in situ EBSD & EPMA maps unfolding the deformation history in oceanic gabbros
15:30−16:30 S. Merkel Microstructures in Earth mantle minerals: using MTEX to track grains and physical properties of polycrystals in high pressure experiments

#### Wednesday: MTEX in Material Science

Time Speaker Title
9:00−10:00 W. Pantleon
10:00−10:30 P. Lehto Misorientation gradients in polycrystalline engineering materials – characterization of grains and grain sub-structures
10:30−11:00 D. Depriester Coupled in situ SEM-DIC/CPFEM analyses of pure copper
11:00−11:30 K. Frydrych Texture-based optimization of crystal plasticity parameters using MTEX
Lunch
13:30−14:00 D. Savage Using SIFT and general B-spline elastic deformation to unwarp EBSD in MTEX
14:00−14:30
14:30−15:00 J. Hisccocks Making a graphical user interface for MTEX: a how-to guide
15:00−16:00 Round Table Discussion

## Registration:

• Please use our registration form to subscribe or write an email to Ralf.Hielscher@math.tu-freiberg.de
• Deadline for registration is 28th of February 2022
• Registration fee first week: students - 100 Euro, other - 200 Euro
• Registration for second week is free
• Registration for students of the TU Freiberg, the TU Chemnitz and the University of Halle is free of charge

## Organizers:

Ralf Hielscher (TU Bergakademie Freiberg) , Rüdiger Kilian (Universität Halle) , Luiz Morales (ETH Zürich) , Frank Niessen (DTU Dänemark)