A method of curvatureTensor.

convert lattice curvature to the Nye dislocation density tensor

Syntax

alpha = dislocationDensity(kappa)

Description

Use alpha = kappa.transpose() - trace(kappa)*I. In particular, each diagonal component of alpha is minus the sum of the other two diagonal components of kappa. This can retain a measurable alpha[2,2] even when a surface map cannot determine kappa[2,2].

Return dislocationDensityTensor in the input frame, preserving its unit and array shape. The coefficients describe net dislocation content; fitting individual dislocation-system densities is a separate step performed by fitDislocationSystems or calcGND.

See also

curvature, curvatureTensor, calcGND

Signature

curvatureTensor.dislocationDensity(kappa)

Used on

GND

MATLAB’s curvatureTensor.dislocationDensity

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/curvatureTensor.dislocationDensity_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.