convert tensor coefficients to compact Voigt notation

Syntax

V = Voigt(T)

Description

The pair order is (11, 22, 33, 23, 13, 12). Rank-two tensors give six components, rank-three tensors give a 3-by-6 matrix, and rank-four tensors give a 6-by-6 matrix. Leading array dimensions are retained. Off-diagonal components acquire factors of two when T.doubleConvention is True, as for compliance and strain conventions.

Input

T tensor of rank 2, 3 or 4

Output

V numeric array in Voigt notation

See also

Kelvin, tensor

Signature

Voigt(T)

MATLAB’s tensor.Voigt

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/tensor.Voigt_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.