strainTensor.strainTensor edit page

class representing a strain tensor

The strain tensor is the symmetric rank 2 tensor describing a finite deformation. Depending on whether it is referred to the undeformed or the deformed configuration it is of type Lagrange, the default, or of type Euler. The constructor warns if the matrix is not symmetric.

Syntax

eps = strainTensor(M)
eps = strainTensor(M,cs)
eps = strainTensor(M,'type','Euler')

Input

`M`	`3x3 matrix`
`cs`	`crystal symmetry`

Output

eps strainTensor

Options

type 'Lagrange' or 'Euler'

Class Properties

`M`	`the tensor coefficients`
`rank`	`always 2`
`type`	`'Lagrange' or 'Euler', read only`
`CS`	`symmetry the coefficients refer to`

Example

eps = strainTensor(diag([1 0 -1]))

eps = strainTensor (y↓→x)
  type: Lagrange 
  rank: 2 (3 x 3)
 
  1  0  0
  0  0  0
  0  0 -1

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.strainTensor.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.

strainTensor.strainTensor