Processing of viscoelastic data via a generalized fractional model

Data fitting and interconversion remain to be a difficult task in linear viscoelasticity. On the basis of transfer function, a generalized fractional model is proposed to fit linear viscoelastic data. The new model is modified from the fractional Maxwell model, and it is abbreviated as the MFM model in this paper. Common fractional viscoelastic models, including the fractional Kelvin and fractional Maxwell models, can be considered as special cases of the MFM model. Apart from inheriting the properties of the fractional Maxwell model, the MFM model is capable of adjusting the transient region between the power-law and plateau regions. Case studies are provided to apply the MFM model in data fitting of various kinds of viscoelastic data, and the results generally demonstrate improved fitting quality with fewer fitting modes compared with the generalized Maxwell model. In addition, the MFM model is used as a venue to convert time-domain data (including creep compliance data, creep data with ringing, and realistic relaxation data) to dynamic moduli data. Compared with classical numerical methods for data interconversion, this method appears to be more direct and convenient. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

In this study, a new MFM model is proposed to fit linear viscoelastic data, showing improved performance in data fitting and interconversion with fewer fitting modes required. Additionally, the MFM model is capable of adjusting the transient region between the power-law and plateau regions.