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Temperature and strain-rate dependent fractional constitutive model for glassy polymers

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  • Cai, Wei
  • Wang, Zhouquan
  • Wang, Fajie

Abstract

The mechanical behaviors of the widely used glassy polymers are observed to be strongly dependent on temperature and strain rate, which demand urgent and deep research. In this paper, a temperature and strain-rate dependent fractional constitutive model is proposed to characterize such complex behavior via the development of a temperature-strain rate criterion. The experimental data at different temperatures are well characterized by the proposed model with variable order following the microbial growth curve and other parameters linearly related to temperature. It is further validated via the prediction of stress responses at arbitrarily different strain rates and temperatures. The strong dependence of fractional order on temperature and the weak dependence on strain rate are also observed. The successful application to another glassy polymer demonstrates the rationality and reliability of the proposed model. The physical interpretations of the parameters are finally discussed.

Suggested Citation

  • Cai, Wei & Wang, Zhouquan & Wang, Fajie, 2024. "Temperature and strain-rate dependent fractional constitutive model for glassy polymers," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006684
    DOI: 10.1016/j.chaos.2024.115116
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