How do you set the nodal or integration point as the value of interest? Anyway, I would assume that the integration points would be close to the nodal results, I don't think the gradient is extreme in my case. When it comes to hyperelastic material definition, it is true that it is defined by using nominal stress, so the stress strain values are implemented directly, contra a metal, where this must be converted. I will try to "benchmark" as you say with a known specimen, and see what I get out of it.
What I mean with failure mode. What causes the material to fail (crack)? Since I am pressing rubber together in an enclosed cavity, I can in theory compress this to infinity?! I suppose not, but how would this material fail then? By extruding through openings in this cavity, or does it disintegrate long before that... If, just to pick a random number, the element is capable of 10 MPa uniaxial stress. when performing an analysis, whether it is 2D or 3D, the uniaxial stress strain curve is used, but the elements are distorted in 3 dimensions, hence they experience a triaxial stress state. The one direction in which I compress the element would increase in compression, but the other two direction would increase in tension. Would it then fail when reaching this 10 MPa when converting it from triaxial stress state to uniaxial and acheive 10 MPa? And how would it fail, since it is enclosed in a chamber?
If i use octahedral stress equivalent, I find it to coincide with theoretical calculations...