Use a Hyperelasticity material model. There are many to choose from in the Engineering Data tab of Workbench. These models are constructed by fitting model coefficients to experimental data, often from multiple types of experiments like uniaxial tension, biaxial tension, uniaxial compression, etc. You only have uniaxial tensile data. It helps if you have data from more than one type of test.
The Engineering Data has Hyperelastic Curve Fitting programs that take your data and calculate a best fit to the model coefficients. Read more about this in the ANSYS Help system under Mechanical APDL > Material Reference and watch some YouTube videos. Try a few different simpler models like Mooney-Rivelin, Ogden, or Yeoh, and use the smallest number of coefficients first.
Hyperelastic materials do not exhibit plasticity, which is for ductile metals.
I have seen Ultimate Tensile Strength for hyperelastic materials that would be an appropriate tensile failure criteria, but there are other failure mechanisms for a design such as compression set over long periods of time.