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Mmm, unexpected.. If I were in your situation, I would try to run some nonlinear model that is somewhat close to equivalent or similar and see if that converges some increment.
For example, extracting the loads from the linear analysis and apply those loads instead of the enforced displacements in the nonlinear one. Also, trying tension instead of compression enforced displacements, etc. All this to try to find clues on what is the source for nonconvergence.
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I was just paraphrasing the out file. There is a warning / note about "zero static load vector". I have a "wild" guess. What do your linear-static results look like? Are the stress zero or very small? Does the deformed shep look like rigid-body motion?
Hi. Something might be ill-defined on the loads side. Do you recognize the message about zero static load vector? Is that consistent with what you have defined?
I would suggest running a linear static case (if you haven't done it before) and check if the results give you any clue about the nonconvergence.
Hope it helps