a rank two symmetric strain tensor, in the double convention of the Voigt notation; type= says whether it refers to the undeformed configuration, ‘Lagrange’ (the default), or to the deformed one, ‘Euler’, MATLAB’s strainTensor(M, ‘type’, ‘Euler’), and is kept by everything derived from it

Syntax

eps = strainTensor(M)
eps = strainTensor(M, cs)
eps = strainTensor(np.diag([1, 0, -1]))
eps = strainTensor(M, type='Euler')
eps.type

Input

M symmetric rank-two coefficients or six-component Voigt vectors, or another tensor
args optional reference frame
type ‘Lagrange’ for the reference configuration or ‘Euler’ for the current configuration
kwargs tensor constructor options; engineering Voigt convention is used by default

Members

axisRatios return signed differences between the principal values of a rank-two tensor
calcTaylor the Taylor factor, the shears of the slip systems and the plastic spin of a strain the crystal accommodates by slip alone
deviatoricStrain remove the isotropic part of a rank-two stress or strain tensor
equivalentStrain compute the von Mises equivalent strain
maxStrain return the largest absolute principal strain of each tensor
norm the Frobenius norm of every tensor, over all its coefficients
octahedralStrain compute octahedral shear and normal strain from Green–Lagrange strain
strainTensor a rank two symmetric strain tensor, in the double convention of the Voigt notation

Used on

AnisotropicTheory, SachsModel, TaylorHex, TaylorModel, TextureEvolution, SO3FunVectorField, TensorArithmetics, TensorDefinition

MATLAB’s strainTensor_index

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/strainTensor_index_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.