the shear banding function of a slip system and a strain (rate) tensor: the closed form ODF of Schaeben that a single slip system produces under that strain, as a handle; MATLAB’s SO3FunSBF

Syntax

odf = SO3FunSBF(sS, E)

The deformation texture of one slip system.

odf = SO3FunSBF(sS, E, bandwidth=32)

With the bandwidth of its harmonic conversion.

Description

The texture follows from the finite strain and the slip system without integrating its evolution; it is evaluated analytically and has no bandwidth of its own, the bandwidth is the one a harmonic conversion uses. The function maps the crystal frame of the slip system to the frame of E, the default specimen frame when E has none.

Input

`sS`	slipSystem, a single one, in a crystal frame
`E`	strainTensor or strainRateTensor

Keywords

keyword	default	description
`bandwidth`	`None`	the bandwidth of the handle, by default the preference maxSO3Bandwidth

Output

odf SO3FunHandle

References

H. Schaeben et al., An analytical finite-strain parametrization for texture evolution in deforming olivine polycrystals, Geophys. J. Int. 216 (2019)

Used on

SingleSlipModel

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/SO3FunSBF_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.

SO3FunSBF