Syntax

[M,b,W] = calcTaylor(eps,sS)

Input

`L`	`velocityGradientTensor`
`sS`	`slipSystem`

Output

`M`	`taylor factor`
`b`	`coefficients for the acive slip systems`
`W`	`spinTensor`

Example

consider uniaxial tension in (100) direction about 30 percent

F = deformationGradientTensor.uniaxial(vector3d.X,1.3)

F = deformationGradientTensor (y↓→x)
  rank: 2 (3 x 3)
 
    1.3      0      0
      0 0.8771      0
      0      0 0.8771

the corresponding rate of deformation tensor becomes

L = logm(F)

L = velocityGradientTensor (y↓→x)
  rank: 2 (3 x 3)
 
 *10^-2
  26.236       0       0
       0 -13.118       0
       0       0 -13.118

define a crystal orientation

cs = crystalSymmetry('cubic');
ori = orientation.byEuler(0,30*degree,15*degree,cs);

define a slip system

sS = slipSystem.fcc(cs)

sS = slipSystem (m3̅m)
 
  u    v    w  | h    k    l CRSS
  0    1   -1    1    1    1    1

compute the Taylor factor

[M,b,W] = calcTaylor(inv(ori)*L,sS.symmetrise);

update orientation

oriNew = ori .* orientation(-W)

oriNew = orientation (m3̅m → y↓→x)
 
  Bunge Euler angles in degree
  phi1     Phi    phi2
   360      30 11.2419

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/velocityGradientTensor.calcTaylor.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.