Parameterized mathematical model of a viscoelastic material under variations of temperature and frequency

The complex modulus and the loss factor of a viscoelastic material vary with temperature and frequency. To illustrate the variation relationship, the so-called five-parameter Zener model was proposed here based on the fractional derivative model and the temperature-frequency superposition principle. The parameters of Zener model were estimated with curve-fitting from the dynamic mechanical thermal analyzer (DMA) tested data. The results showed that the proposed model reflects the dynamic mechanical properties of the viscoelastic material under variations of temperature and frequency very well.