You need the elastic properties of the material, along with the shear relaxation data (shear modulus vs time). Once you have this data you need to perform a curve fitting process to find out the relative moduli and corresponding relaxation time. This discussion https://forum.ansys.com/discussion/2206/alternative-to-curve-fit-prony might help you with the curve fitting process. You may refer 4.7. Viscoelasticity (ansys.com) for the terminology which ANSYS uses. Also, please check the literature that you are referring to for definition of "shear relaxation modulus ratio". I believe it is the ratio of shear relaxation modulus/instantaneous shear modulus (at t=0) and since ANSYS deals with normalized numbers during the fitting process, you could use the same data to get relative moduli.
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