Thanks for this description. I’ve seen materials (mostly metals) that display a prolonged region of strain softening and almost no strain hardening but that occurs at elevated temperatures. I look forward to hearing how you incorporate this only-softening response for your specific material.
For the warning of out-of-range plastic strain, I recommend that you fit a curve to your current data and extrapolate it at larger plastic strains. From the shape of the curve you showed in your image it appears to me that a “power-law” or “Voce” type function should be able to capture the behavior properly.
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