<p>This paper aims to determine the parameters of the fractional derivative viscoelastic constitutive model in the high-frequency domain and to develop a methodology for parameter identification through stress wave propagation experiments. The methodology for parameter identification combines the stress wave propagation experiment with the viscoelastic stress wave propagation model based on fractional derivative constitutive model. In this paper, the fractional derivative constitutive parameters of polymethylmethacrylate in the high-frequency domain are obtained by the methodology. The predicted waveforms, calculated using the viscoelastic stress wave propagation model and the identified parameters, were compared against experimentally measured waveforms from stress wave propagation experiments, thereby validating the accuracy of the proposed experimental method for identifying these parameters.</p>

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Identification of fractional derivative viscoelastic constitutive parameters via stress wave propagation experiments

  • Zhixin Shi,
  • Di Song,
  • Jiaxin Cui,
  • Ming Yuan,
  • Changqing Miao

摘要

This paper aims to determine the parameters of the fractional derivative viscoelastic constitutive model in the high-frequency domain and to develop a methodology for parameter identification through stress wave propagation experiments. The methodology for parameter identification combines the stress wave propagation experiment with the viscoelastic stress wave propagation model based on fractional derivative constitutive model. In this paper, the fractional derivative constitutive parameters of polymethylmethacrylate in the high-frequency domain are obtained by the methodology. The predicted waveforms, calculated using the viscoelastic stress wave propagation model and the identified parameters, were compared against experimentally measured waveforms from stress wave propagation experiments, thereby validating the accuracy of the proposed experimental method for identifying these parameters.