Non-linear material, distinct tension/compression behaviors

I’d like to define a material with the following stress-strain relationship: As you can see, the tension and compression behaviors are quite different. It doesn’t seem to be possible to define a material beyond using Von Mises stresses, which to my understanding would not allow this definition. Can anyone confirm this?

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Development and Validation of a Nonlinear Model to Describe the Tension–Compression Behavior of Rubber-Like Base Isolators, Journal of Engineering Mechanics

Development and Validation of a Nonlinear Model to Describe the Tension–Compression Behavior of Rubber-Like Base Isolators, Journal of Engineering Mechanics