4.7 Article

An equivalence between generalized Maxwell model and fractional Zener model

期刊

MECHANICS OF MATERIALS
卷 100, 期 -, 页码 148-153

出版社

ELSEVIER SCIENCE BV
DOI: 10.1016/j.mechmat.2016.06.016

关键词

Viscoelasticity; Rheological model; Fractional model

资金

  1. National Natural Science Foundation of China [11502068, 11572112]
  2. Fundamental Research Funds for Central Universities, Hohai University [2016B01414]

向作者/读者索取更多资源

Both classic rheological models and fractional derivative models have been widely adopted to model the viscoelastic behaviors of materials. In this work, we present a detailed comparison of the performance of the generalized Maxwell model and fractional Zener model. We first describe a method to determine the parameters of the generalized Maxwell model from the fractional Zener model based on the equivalence of complex modulus in the frequency domain of the two models. The two models are then applied to investigating the stress response under constant strain rate, stress relaxation, cyclic and random loading conditions. The simulation results of the two models show excellent quantitatively equivalence. This finding can provide insight into choosing the more suitable model for specific conditions. (C) 2016 Elsevier Ltd. All rights reserved.

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