An extended search method for identifying optimal parameters of the generalized Maxwell model

Viscoelastic constitutive relations based on Prony series are generally employed to the finite element modeling analysis of asphalt pavement performance. However, little attention has been paid to the selection of target relaxation time constants, which is a key step in the determination of the Prony series coefficients. According to the approximate relationship between the relaxation time and the relaxation strength, an extended search method was developed to determine the optimal relaxation time range (ORTR) in this study. A large number of data points collected from Master E* Database were used to validate the universality and accuracy of Prony series model with the ORTR. Besides, the relationship between the reduced frequency range (RFR) of the master curves of viscoelastic parameters and the ORTR was investigated by calculating the difference between the upper limit values Delta(up) and the difference between the range width values Delta(w). The results showed that: (1) the Prony series model with the ORTR had a reasonable number of terms and provided excellent model fitting; (2) the distribution of Delta(up), as well as the distribution of Delta(w), satisfied the normal distribution at a significance level of 0.05; and (3) the modified RFR-based relaxation time range was easy-to-use for the construction of Prony series model with high R-2 values. (C) 2020 Elsevier Ltd. All rights reserved.

Automated summary

This study developed an extended search method to determine the optimal relaxation time range (ORTR) and validated the accuracy and universality of the Prony series model. The results showed that the Prony series model with the ORTR had good model fitting and the distributions of Delta(up) and Delta(w) satisfied the normal distribution.