Description

This function calculates the height h at each peripheral position of a cup drawn from a polycrystalline bcc metal sheet. In the analytical treatment, the polycrystalline sheet is assumed to be an aggregate of single crystals (grains) with various orientations. In the original paper, an orientation distribution function (ODF) constructed from texture data was used to calculate the weight of each single crystal. In this function, ebsd or grain data can be used:

For ebsd data, an ODF is first calculated. Following that, there are 2 options: (1) Calculate ODF components & volume fractions using MTEX-default functions, or (2) Calculate the volume fractions of a discretised ODF. For both options, the volume fraction is used as the weight.
Alternatively, for grain data, weights are computed using the grain area fraction. The ear may be calculated crystallographically by considering both, restricted glide and pencil glide; with the former returning better predictions in the original paper.

Syntax

calcEaring(grains,sS,prop)

Input

`ori`	`orientation`
`sS`	`slipSystem`
`prop`	`struct`

Output

`h`	`double, height at each peripheral position of a cup drawn from a polycrystalline bcc metal sheet.`

Options

`discrete`	`use a discretised ODF`
`Author`
`* Dr. Azdiar Gazder, 2023, azdiaratuowdotedudotau`

References

N. Kantake, Y. Tozawa, S. Yamamoto, Calculations of earing in deep drawing for bcc metal sheets using texture data, Int. J Mech. Sci., vol. 27(4), pp. 249-256, 1985. https://www.sciencedirect.com/science/article/pii/0020740385900839

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/calcEaring.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.