A method of complianceTensor.

Young’s modulus in the direction v, the reciprocal of S_ijkl v_i v_j v_k v_l; MATLAB’s YoungsModulus

Syntax

E = YoungsModulus(C, v)

At the directions v.

E = C.YoungsModulus()

The function on the sphere.

Description

The tensor may be a stiffness or a compliance tensor; a stiffness tensor is inverted first. The direction may have any length.

Input

C stiffnessTensor or complianceTensor
v vector3d or Miller, the tension directions; left out for the function

Output

E Young’s modulus at every direction, or an S2Fun of the direction

See also

shearModulus, PoissonRatio, linearCompressibility, volumeCompressibility

Signature

complianceTensor.YoungsModulus(T, v=None)

MATLAB’s complianceTensor.YoungsModulus

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/complianceTensor.YoungsModulus_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.