On the Frequency and Amplitude Dependence of the Payne Effect: Theory and Experiments

@inproceedings{Lion2003OnTF,
  title={On the Frequency and Amplitude Dependence of the Payne Effect: Theory and Experiments},
  author={Alexander Lion and Claudia Kardelky and Peter I. Haupt},
  year={2003}
}
Abstract In this paper, we develop a physical approach to represent the Payne effect which is observed in filler-reinforced elastomers. The starting point for the constitutive model is the well-known theory of linear viscoelasticity, where the stress is a linear functional of the deformation history. Since the corresponding relations are unable to describe any kind of amplitude dependence, we introduce a nonlinearity into the model. To this end, we replace the physical time, t, by a modified… CONTINUE READING