Simscape spring damper with hysteresis

I need to model an Anti-Vibration mount. I have measurements of the mount showing a hysteresis loop in the force/deformation plot. I understand that this is also called negative structural stiffness.

I have tried various methods of springs and dampers. I have created a lookup table spring version which matches the initial force application and deformation. but it is the damped release that I cannot model.

I have been looking everywhere for suggestions on how i can use simscape components to create this AV mount. I don't believe that this is an unusual device.

This is not an area I am familar with. I haven't touched spring physics since uni many years ago, and never from an engineering point of view, so i am probably missing something very obvious.

Any help much appreciated.

Thanks