How to set interaction that represents a buckling dome

I have a model where a mechanism is supported by a buckling rubber dome. The mechanism is pressed and the rubber dome buckles under load, until a plug on the dome bottoms out on the ground link and provides support again.

I can simulate the rubber dome being compressed until it buckles.

I can replace the rubber dome with a linear spring in the interaction tab to get a sense of the final force reaction after it buckles.

But when I combine the two models, Abaqus fails to converge.

I want to replace the linear spring’s single stiffness value with a force displacement curve that follows that of the rubber dome. I can’t find the settings on how to do it.

Please help.