## 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.

**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

**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

**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

**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

**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

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 |

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 |

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)