A method of EBSD3.

the geometrically necessary dislocation content of every pixel after Pantleon (2008); MATLAB’s calcGND

Syntax

gnd, rho = calcGND(ebsd, dS)

The content and the densities per system.

gnd, rho = calcGND(ebsd, dS, stencil='full')

The curvature from all eight neighbours.

Description

MATLAB’s route: the curvature of the map, the dislocation systems rotated into every pixel, and the densities of least total line energy that reproduce the curvature, a linear program per pixel. The content is the sum of the line energies dS.u times the absolute densities, in 1/m^2 for line energies without a unit. The map should be smoothed first, a noisy curvature gives noisy densities.

Input

`ebsd`	EBSD of one phase, gridded or with a lattice
`dS`	dislocationSystem, the systems in crystal coordinates

Keywords

keyword	default	description
`stencil`	`'oneSided'`	the neighbours the curvature is taken from: ‘oneSided’ the one sided differences along the lattice directions, ‘lattice’ the central difference over the whole stencil of the lattice, ‘full’ the same with the diagonals

Output

`gnd`	the dislocation content of every pixel, the shape of the map
`rho`	the density of every system at every pixel, one row per pixel

References

W. Pantleon, Resolving the geometrically necessary dislocation content by conventional electron backscattering diffraction, Scripta Materialia 58 (2008) 994-997

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/EBSD3square.calcGND_py.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX

@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.

EBSD3square.calcGND