Dear everyone, now I have got the principle strain tensor (or increment) of a material point, as well as the reference hardening curve of the material (along the rolling direction) together with the anisotropic yield stress ratios. I failed to calculate the corresponding equivalent stress. I know that if the material is isotropic, the situation is very simple because I can get the equivalent strain first (igoring the elastic strain), and then find the corresponding yield stress from the hardening curve. But what can I do under the Hill anisotropic plasticity? Can anybody help me with that? Thanks so much. p.s., for simplification, the elastic strain can be ignored.
Hello,
To determine the equivalent stress, you don't need to know the hardening curve, just the stress tensor.
The equivalent stress is given by the Hill criterion. (Go to page 13)
https://dspace.mit.edu/bitstream/handle/1721.1/83690/863164511-MIT.pdf?sequence=2
You first need to calibrate your parameters i.e. F, G, H, N using the data of the Lankford ratios (for instance) + the initial yield stress in rolling direction.
Or you can do so using yield stress for different specimen orientations. But the results will be different. I think in the given document you will find how to analytically calibrate the Hill parameters.
I don't know if I answered to your question
Regards
Corentin
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