Predeformation- and frequency-dependent material behaviour of filler-reinforced rubber: Experiments, constitutive modelling and parameter identification

Elastomers show a significant dependence on predeformation and frequency when they are loaded with large static predeformations superimposed by harmonic deformations of small amplitude. In order to investigate this predeformation- and frequency-dependent material behaviour some quasi-static and dynamic experiments are carried out. Based on the experimental facts and further approaches of Haupt and Lion (2002) and Lion et al. (2009), a recently developed constitutive model of finite viscoelasticity is extended to take the dependence on the predeformation of storage- and loss-modulus into account. In terms of computation efficiency, we make use of a formulation in the frequency domain. Therefore the constitutive equations are geometrically linearised in the neighbourhood of the predeformation and evaluated in frequency domain. Finally the constitutive model is formulated for incompressible materials and the dynamic modulus tensors are derived. Additionally the process of parameter identification and some first numerical simulation results will be shown.