In the picture you can obsrve the Stress-Strain hysteresis loop for two different materials. I need to know how can I use these cyclic test data to define viscoelasic behavior in abaqus.
I think you could use the cyclic plasticity in ABAQUS by choosing appropriate hardening model for those materials. In order to define two different hardening parameters, you may use a combined hardening where kinematic and isotropic components can be specified independently.
further detail of combined hardening parameters are available from the following discussion: