Description

Energy velocity for lossless elastic medium (i.e. no attenuation) Good proxy for group velocity, which typically has some energy loss The formula is given by F.I. Fedorov(1968)Theory of Elastic Waves in Crystals, 375 pp. New York: Penum Press.

Ve_i = C_ijkl P_j P_l X_k / rho*V

N.B. E_magnitude should be equal or more than plane wave velocity vp, vs1 or vs2

David Mainprice 6/02/2018

Syntax

E = energyVector(C,x,v,p)
E = energyVector(C,x,v,p,rho)
E = energyVector(C,[],vFun,pFun)
E = energyVector(C,[],vFun,pFun,rho)

Input

`C`	`stiffnessTensor (units GPa)`
`x`	`vector3d propagation direction`
`v`	`plane wave velocity (unit km/s) e.g. vp,vs1 or vs2`
`p`	`vector3d plane wave polarization vector e.g. pp,ps1 or ps2`
`vFun`	`S2Fun plane wave velocity (unit km/s) e.g. vp,vs1 or vs2`
`pFun`	`S2AxisField plane wave polarization vector e.g. pp,ps1 or ps2`
`rho`	`density in g/cm3`

Output

`E`	`Energy velocity vector (units km/s)`

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/stiffnessTensor.energyVector.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.