A method of complianceTensor.

the bulk modulus of an isotropic polycrystal, the Voigt and Reuss bounds; MATLAB’s bulkModulus

Syntax

K = bulkModulus(C)

The Voigt bound.

K = bulkModulus(C, 'Hill')

The mean of the two bounds.

KV, KR, KH = bulkModulus(C, 'all')

All three.

Description

The Voigt upper bound is a ninth of C_iijj, the Reuss lower bound the reciprocal of the volume compressibility S_iijj, Hill’s the mean of the two. MATLAB returns the three as outputs; here ‘all’ returns them as a named tuple (voigt, reuss, hill).

Input

C stiffnessTensor or complianceTensor
which ‘Voigt’, ‘Reuss’, ‘Hill’ or ‘all’

Output

K the bulk modulus, or the bounds

See also

shearModulus, volumeCompressibility, PoissonRatio

Signature

complianceTensor.bulkModulus(T, which=None)

MATLAB’s complianceTensor.bulkModulus

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.bulkModulus_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.