stressTensor.calcShearStress edit page

shear stress

The resolved shear stress of a stress tensor on the plane with normal m in direction n is the contraction of the stress tensor with the Schmid tensor of m and n. With several planes and directions the largest one is returned together with its plane and direction.

Syntax

[tauMax,m,n,tau] = calcShearStress(sigma,m,n)

The largest shear stress over the pairs (m,n).

[tauMax,m,n,tau] = calcShearStress(sigma,m,n,'symmetrise')

Over all symmetrically equivalent pairs.

Input

sigma stressTensor
m normal vector the the slip or twinning plane
n Burgers vector (slip) or twin shear direction (twinning)

Options

symmetrise consider also all symmetrically equivalent planes and directions

Output

tauMax maximum shear stress
m active plane
n active direction
tau shear stresses with respect to all planes

See also

SchmidTensor

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.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.