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Attached is a zib-folder with the MATLAB code to get all the graphs needed for Hellmichs exercise.
Please read the "Protokoll_Hellmich_cor5_fin" for further instructions on how to manipulate the file.
Since I wrote it for Matlab 2014b you might get some errors when using earlier versions.
One is the error "Bad property value for color", use [... ... ...] instead of '[... ... ...]' in the figure files.
The first one is an RGB- Triplet that defines the color, the second is the same, but as string and only newer versions of MatLab recognize this code.

Change it in all plot- subfunctions and everything should be fine. For Matlabversions that doesn´t know dirac, there is a function called xirac inside which does ecactly the same.

Also use other compounts of the stiffness tensor instead of C1212,... this way we all haven´t randomly chosen the same 5 independent variables ffrom 36 possibilities.
For more infos on this, read the reports.

Good luck with it!

best wishes,
Manuel

ps.: In the exam he just asks about the figures: where´s the Air-peak? What´s the surface underneath the PDF? Etc...

Has anybody already began with the report for this semester and could help me with that? I've simply no idea of how to solve that problem. I think it is quite similar to last year, but i don't know how to calculate the ellipsoidal inclusions for the anisotropic matrix material.
thanks in advance!

this might be a really dumb question: But what is the meaning of those PDF plots of the elastic constants? They are never mentioned in the paper... The plots of phi vs E, K, G and nu are totally plausible for me (and this plot is in the paper (fig. 6)), but plotting P_true,sk against E does not make any sense to me.
Has he mentioned anything in the lecture for what this is useful?

@tola99: there are these functions, for example fun_P_ellipsoid_aniso.m which gives you the correct tensor. Just look at aufgabe1-4.m and rewrite the code a little bit.

yeah i looked it up but you really don't need the fun_aniso_.... because the material is set to be transverse isotropic for elliptical inclusions right? so i just used the function fun_transverse_iso...

For me the PDF of the constant has a plausible meaning, i think it just tells you if you look at a certain area under the graph it tells you the probability that a value between the boundaries of the area (on the x axis) of a material constant in this area is occuring.....

Hi, does anyone know what S=0.25 in line 2 of the function fun_plot_4 mean? Thanks in advance