  Hyper-viscoelastic polymers have multiple areas of application including
aerospace, biomedicine, and automotive. Their mechanical responses are
therefore extremely important to understand, particularly because they exhibit
strong rate and temperature dependence, including a low temperature brittle
transition. Relationships between the response at various strain rates and
temperatures are investigated and a framework developed to predict large strain
response at rates of c. 1000 s$^{-1}$ and above where experiments are
unfeasible. A master curve of the storage modulus's rate dependence at a
reference temperature is constructed using a DMA test of the polymer. A
frequency sweep spanning two decades and a temperature range from pre-glass
transition to pre-melt is used. A fractional derivative model is fitted to the
experimental data, and this model's parameters are used to derive stress-strain
relationships at a desired strain rate.
