FE2 Benchmark Problem

[Hooman]

Dear Feap users,

I am currently trying to run multi-scale problems using Feap FE2 solver. Although I have managed to run some simple problems, I am not sure about the results. Has anyone ever tried to verify the FE2 procedure of Feap with already existing results in the literature? I would really appreciate it if anyone could provide me with a benchmark problem or a paper which I can use to validate my implementation and compare the results.

Thanks and regards,
Hooman

[Prof. R.L. Taylor]

I verify the coding using problems for which the material behavior is identical over all the RVE.  These problems then produce results that should be identical to the single scale problem.  Careful checking that results are identical not just close is essential to validating the implementation.

[Hooman]

Dear Prof. Taylor,

Thank you for your response. I tried what you mentioned and the results are identical. However, I faced something which I cannot perceive. When I fictitiously increase the size of RVE (even 1 million times larger than the size of my macro problem), I obtain the exact same results as a very small RVE. Could it be due the homogeneous behavior of the RVE? If yes, could you please point out the theoretical reason behind that?

Thanks in advanced.

[Prof. S. Govindjee]

You should write out the equations that you are solving, that will answer your question.  It should be enough to simply do it in one dimension.

[Prof. R.L. Taylor]

If the stress is homogeneous there is no scale effect

[Hooman]

Dear Prof. Taylor and Prof. Govindjee,

Thank you for your responses. I really appreciate it.