Texture evolution during plastic deformation?

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MTEXNewbie

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Jul 12, 2018, 12:34:30 PM7/12/18
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Hi,

I noticed the texture evolution during rolling example code and have some questions - https://mtex-toolbox.github.io/files/doc/TaylorModel.html#13

1. Is this built-in function comparable to the VPSC method for texture evolution during plastic deformation?
2. What are the advantages and disadvantages of the MTEX approach?
3. The MTEX example code has it up to 0.30 strain, can we get texture evolution data at regular strain intervals (e.g. 0.1, 0.2, ... 0.5 etc.) to construct an animation?
4. Can I calculate the (average) Taylor factor from the resultant texture data (ori)?
5. Below is an example code I am using for uniaxial tension, is this correct?

% crystal symmetry
cs = crystalSymmetry('m-3m', [3.6599 3.6599 3.6599], 'mineral', 'Iron fcc', 'color', 'light blue');

% define some random orientations
ori = orientation.rand(10000,cs);
% plot the pole figures
figure
plotPDF(ori,Miller({1,1,1},cs),'contourf')
mtexColorbar

% 30 percent plane strain (Uniaxial Tensile)
q = 0.5;
epsilon = 0.3 * strainTensor(diag([-q -(1-q) 1]));

%
numIter = 10;
progress(0,numIter);
for sas=1:numIter

  % compute the Taylor factors and the orientation gradients
  [M,~,mori] = calcTaylor(inv(ori) * epsilon ./ numIter, sS.symmetrise,'silent');

  % rotate the individual orientations
  ori = ori .* mori;
  progress(sas,numIter);
end

% plot the resulting pole figures
figure
plotPDF(ori,Miller({1,1,1},cs),'contourf')
mtexColorbar


Rüdiger Kilian

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Jul 12, 2018, 2:55:59 PM7/12/18
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Hi
a few answers.
wrt 1) No, Taylor adn VPSC models are not the same. Taylor assumes iso-strain. Depending on the situations results may be still similar or significantly different.

wrt 2) I'd say any advanges/disadvantages of one over the otehr depend on the assumptions you are making and what exactly you want to model.

wrt 3) Yes, just write the orientations for each step i to a variable e.g. o_out(:,i)=ori. Than you do whatever you like with those later on.

wrt 4) Maybe you need to specify a little more what you mean here. All in one step? Or the average Tayler factor for each orientation averaged over all steps? If the latter, just save all the Taylor factors to a n-by-i variable (similar to the orientations) and calculate the mean afterwards.

wrt 5) Depending on the definition of strain (tension is positive for many engineers, negative for geologists), it looks like you are pulling or pushing in the Z-direction.

Hope that helps.
Cheers,
Rüdiger

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MTEXNewbie

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Jul 12, 2018, 3:47:14 PM7/12/18
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Hi Rüdiger,

Thank you for the answers.

1. Would it be possible to recommend me some literature related to the model built-in MTEX?

2. Same as 1, I would like to know about the assumptions in the model.

3. Thank you for the tip, I will try it on and report back later.

4. Average Taylor factor in each step.

5. Yes, I am pulling it in Z-direction. It is the cross-sectional EBSD of a tensile sample, is this valid way to do this, or only RD/TD loading is valid?


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