A method of EBSD3.

the curvature tensor of every voxel; MATLAB’s curvature of EBSD3square

Syntax

kappa = ebsd3['Iron'].curvature()

A curvatureTensor per voxel.

Description

A volume measures the orientation gradient along all three axes of its voxels, so its curvature tensor is complete: the dyads of the gradients gradientX, gradientY, gradientZ with the unit steps d1, d2, d3 they are taken along, in the specimen frame and in the inverse scan unit. The volume is gridded first and must hold one indexed phase.

Input

ebsd EBSD3 of one indexed phase

Keywords

keyword default description
stencil 'oneSided' ‘oneSided’, the one sided difference, the one a volume takes; another is refused

Output

kappa curvatureTensor of the shape of the gridded volume

See also

EBSD3.gradientX, EBSD3.calcGND, EBSD.curvature, curvatureTensor

MATLAB’s EBSD3square.curvature

source

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.curvature_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.