A method of tensor.

the identity tensor, of rank two the unit matrix, of rank four the symmetric identity on rank two tensors; MATLAB’s tensor.eye

Syntax

T = tensor.eye(cs)

The unit matrix in the frame cs.

C = stiffnessTensor.eye()

The identity of rank four.

T = tensor.eye(rank=4)

A plain tensor of rank four.

T = tensor.eye(cs, unit='GPa')

With a unit.

Description

The frame is the reference frame among the arguments; other keywords go to the constructor of the class (unit, name, density, …).

Input

`cs`	referenceFrame, the frame, the specimen frame without one

Keywords

keyword	default	description
`rank`	`None`	2 or 4, by default the rank of the class, two for a plain tensor

Output

`T`	a tensor of the class

Used on

OrientationDefinition, IsotropicTheory, SO3FunHarmonicRepresentation, SO3FunVectorValued, S2FunHarmonicRepresentation, S2FunVectorValued, SphericalHarmonics, TensorDefinition

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/tensor.eye_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.

tensor.eye