slipSystem.SchmidFactor edit page

compute the Schmid factor

Description

The slip systems and the stress state have to be given with respect to the same reference frame - either both in crystal coordinates, i.e. Miller indexed slip systems and inv(ori) * sigma, or both in specimen coordinates, i.e. ori * sS and a stress state as measured. Mixing the two is warned about as MTEX:frameMismatch. A tension direction that does not state a reference frame at all is taken at face value and never warned about.

Syntax

SFfun = SchmidFactor(sS) % returns spherical function
SF = SchmidFactor(sS,v)
SF = SchmidFactor(sS,sigma)
SF = SchmidFactor(sS,sigma,'relative')

Input

sS list of slipSystem
v vector3d list of tension direction
sigma stressTensor

Output

SFfun size(sS) × 1 list of S2FunHarmonic
SF size(sS) × size(sigma) matrix of Schmid factors

See also

slipSystem.SchmidTensor stressTensor

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/slipSystem.SchmidFactor.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.