A method of stressTensor.

resolve a stress tensor on slip systems and identify the most highly stressed system

Syntax

tau, index = calcShearStress(sigma, sS)

Description

Compute b dot sigma dot n using unit slip directions b and plane normals n. The resolved shear stress is signed and has the same units as sigma. A single stress applied to a list of systems gives one value per system; an array of stresses adds a final system axis. Express stress and systems in the same frame, for example with ori * sS in specimen coordinates.

Input

sigma stressTensor
sS slipSystem list

Output

tau signed resolved shear stresses
index zero-based index of the system with largest absolute shear stress, along the last axis of tau

See also

SchmidFactor, slipSystem.rotate, SchmidTensor

Signature

stressTensor.calcShearStress(sigma, sS)

MATLAB’s stressTensor.calcShearStress

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/stressTensor.calcShearStress_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.