Mechanical Investigations of Elastomers in a Wide Range of Frequencies
Abstract Many experimental investigations have shown that plastics in general, as well as elastomers and their solutions, do not behave like Newtonian liquids. They both have viscosity and elasticity, the combination of which, according to the Maxwell postulate, causes their properties to be dependent on time, and leads us to call them viscoelastic bodies. This dependence does not exist, either for the Newtonian liquid whose mechanical properties are determined by its viscosity, or for the elastic body whose properties are determined by its elasticity. The time element introduces a peculiar difficulty in measuring the mechanical properties of these substances. Whereas the well-known Maxwell body describes this time dependence in simple mathematical expressions, it does not apply to the experimental results. The properties of viscoelastic bodies are not described by a Maxwellian body, but rather by a distribution of an infinite number of Maxwellian bodies, each having a so-called relaxation time. The existence of this infinite distribution calls imperatively for an investigation of the properties of these viscoelastic bodies in as wide a range of frequencies or times as possible in order to define them. Most investigators have used one method in a range of frequencies no wider than about 1 to 100. This range can be extended by using the observation of Ferry that the properties of viscoelastic bodies investigated at different temperatures, in the case of dynamic investigations with sinusoidal vibrations, seem to be described by shifting one standard curve on the frequency axis. One can superimpose measurements at different temperatures and extend the range of frequencies to about 1 to 1,000,000. But using Ferry's method of reduced variables necessitates some assumptions that, though very probable, have as yet not been proven exactly by experiments. It therefore seemed important to have a method for investigating the mechanical properties of viscoelastic bodies in a frequency range of about 1 to 1,000,000 under isothermal conditions. This paper describes a basic method and the results obtained for several elastomers.