Inert polymer bonded simulants (PBSs) have long been used to investigate the effects of mechanical insult of their energetic counterparts. These investigations can then be used to evaluate, design and model polymer bonded explosives. This is especially important for determining the safety for service use materials for when accidents occur. Generally, current models show that damage always decreases the strength of PBSs. Alongside this, the Time–Temperature Superposition Principle has been applied to similar materials when investigating the effect of rate and temperature. In this work, we look at the effect of small strains (0–1.5%) on the residual modulus of PBS samples. These strains are imparted by both a Universal Testing Machine and a Split-Hopkinson Pressure Bar arrangement to examine the effect of strain rate. The temperature of each of these experimental set-ups is also varied to investigate the validity of applying the time–temperature superposition to these materials and to determine the applicability of previous works in the field. These results have been compared to the Porter-Gould model to determine their applicability at small strains and to investigate the effect these small strains have from a safety and mechanical stability perspective on analogous materials.