complianceTensor.complianceTensor edit page

class representing the elastic compliance tensor

The compliance tensor S is the inverse of the stiffnessTensor and relates strain and stress by epsilon = S : sigma. It is given in 1/GPa and, unlike the stiffness tensor, in the double convention - the off diagonal entries of its Voigt matrix carry a factor of two.

Syntax

S = complianceTensor(M,cs)

Input

`M`	`6x6 Voigt matrix or 3x3x3x3 array`
`cs`	`crystal symmetry`

Output

`S`	`complianceTensor`

Options

unit physical unit of the entries, 1/GPa by default

Class Properties

`M`	`the tensor coefficients`
`rank`	`always 4`
`CS`	`symmetry the coefficients refer to`

Example

fname = fullfile(mtexDataPath,'tensor','Olivine1997PC.GPa');
S = inv(stiffnessTensor.load(fname))

S = complianceTensor (y↓→x)
  unit            : 1/GPa            
  rank            : 4 (3 x 3 x 3 x 3)
  doubleConvention: true             
 
  tensor in Voigt matrix representation: *10^-4
  34.85  -9.08   -7.7      0      0      0
  -9.08  60.76  -17.2      0      0      0
   -7.7  -17.2  50.85      0      0      0
      0      0      0 156.25      0      0
      0      0      0      0 129.87      0
      0      0      0      0      0 127.06

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/complianceTensor.complianceTensor.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.

complianceTensor.complianceTensor