<p>In this paper, the temperature and frequency sweep experiments for ethylene propylene diene monomer (EPDM) samples are performed, and the master curves of the dynamic mechanical properties of EPDM rubber are built by using time–temperature superposition principle (TTSP). It shows that the EPDM rubber exhibits temperature- and frequency-dependent properties, and its temperature <i>T</i><sub>α</sub> at which the dissipation is maximum for a given frequency increases with the frequency. The constructed master curve can characterize the dynamic mechanical properties of EPDM rubber covering 12 decades on the angular frequency scale. Then, the fractional derivative Kelvin (FDK) model and the fractional derivative Zener (FDZ) model are introduced, and a fractional derivative five-element (FDFE) model is proposed. The master curves of EPDM rubber are fitted by using these models. The results indicate that compared with the FDK and FDZ models, the FDFE model has more discrete relaxation times due to its multiple parallel branches, which enables it to accurately describe the dynamic mechanical behavior of EPDM rubber and well characterize the asymmetric characteristics of the loss factor curve. Finally, the influences of parameters in the FDFE model on the dynamic mechanical performance curves of polymers are investigated. It suggests that both fractional parameters and relaxation times control the dynamic response mechanisms, and the proposed FDFE model has a potential broad applicability in characterizing the dynamic mechanical properties of polymers.&#xa0;</p> Graphical Abstract <p></p>

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The dynamic mechanical properties of EPDM rubber based on the fractional derivative constitutive model

  • Rongguo Zhao,
  • Sibo Wen,
  • Ziqi Hu,
  • Taotao Tao,
  • Yizhi Jiang,
  • Ke Chen

摘要

In this paper, the temperature and frequency sweep experiments for ethylene propylene diene monomer (EPDM) samples are performed, and the master curves of the dynamic mechanical properties of EPDM rubber are built by using time–temperature superposition principle (TTSP). It shows that the EPDM rubber exhibits temperature- and frequency-dependent properties, and its temperature Tα at which the dissipation is maximum for a given frequency increases with the frequency. The constructed master curve can characterize the dynamic mechanical properties of EPDM rubber covering 12 decades on the angular frequency scale. Then, the fractional derivative Kelvin (FDK) model and the fractional derivative Zener (FDZ) model are introduced, and a fractional derivative five-element (FDFE) model is proposed. The master curves of EPDM rubber are fitted by using these models. The results indicate that compared with the FDK and FDZ models, the FDFE model has more discrete relaxation times due to its multiple parallel branches, which enables it to accurately describe the dynamic mechanical behavior of EPDM rubber and well characterize the asymmetric characteristics of the loss factor curve. Finally, the influences of parameters in the FDFE model on the dynamic mechanical performance curves of polymers are investigated. It suggests that both fractional parameters and relaxation times control the dynamic response mechanisms, and the proposed FDFE model has a potential broad applicability in characterizing the dynamic mechanical properties of polymers. 

Graphical Abstract