An inverse approach to determine complex modulus gradient of field-aged asphalt mixtures

Meng Ling*, Xue Luo, Fan Gu, Robert L. Lytton

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This study develops a new mechanical-based method to determine the complex modulus and modulus gradient of field-aged asphalt mixtures using the direct tension test. Due to the non-uniform aging nature of the field cores, the mechanical responses must be measured at different depths. Meanwhile, the monotonic load is not applied at the neutral axis of the field core specimen due to the modulus gradient, the tensile part of the strain is used and should be separated from the measurement because of the eccentric loading. The modulus gradient parameters, the location of the neutral axis, and the stress distribution are first obtained using the elastic formulas for a series of loading times. Then the complex modulus is determined using the Laplace transform and the elastic–viscoelastic correspondence principle. An inverse approach and iteration are then proposed by using the pseudo strain to accurately calculate the modulus gradient parameters after the relaxation modulus and reference modulus are determined.

Original languageEnglish
Article number138
JournalMaterials and Structures/Materiaux et Constructions
Issue number2
Early online date20 Feb 2017
Publication statusPublished - 1 Apr 2017

Bibliographical note

© RILEM 2017
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.


  • Corresponding principles
  • Eccentric loading
  • Field cores
  • Modulus gradient
  • Pseudo strain


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