A method of strainTensor.

compute octahedral shear and normal strain from Green–Lagrange strain

Syntax

shear, normal = octahedralStrain(eps)

Description

Convert principal Green–Lagrange strains E_i to engineering stretches q_i = sqrt(1+2*E_i)-1. The normal strain is mean(q_i); the shear strain is 2/3 times the square root of the sum of squared pairwise differences. Values below E_i = -1/2 have no real stretch and give NaN. Return one shear value and one normal value per tensor.

See also

GreenStrain, equivalentStrain

Signature

strainTensor.octahedralStrain(eps)

MATLAB’s strainTensor.octahedralStrain

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/strainTensor.octahedralStrain_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.