Weak form equation–based finite-element modeling of viscoelastic asphalt mixtures


The objective of this study is to demonstrate using weak form partial differential equation (PDE) method for a finite-element (FE) modeling of a new constitutive relation without the need of user subroutine programming. The viscoelastic asphalt mixtures were modeled by the weak form PDE-based FE method as the examples in the paper. A solid-like generalized Maxwell model was used to represent the deforming mechanism of a viscoelastic material, the constitutive relations of which were derived and implemented in the weak form PDE module of Comsol Multiphysics, a commercial FE program. The weak form PDE modeling of viscoelasticity was verified by comparing Comsol and Abaqus simulations, which employed the same loading configurations and material property inputs in virtual laboratory test simulations. Both produced identical results in terms of axial and radial strain responses. The weak form PDE modeling of viscoelasticity was further validated by comparing the weak form PDE predictions with real laboratory test results of six types of asphalt mixtures with two air void contents and three aging periods. The viscoelastic material properties such as the coefficients of a Prony series model for the relaxation modulus were obtained by converting from the master curves of dynamic modulus and phase angle. Strain responses of compressive creep tests at three temperatures and cyclic load tests were predicted using the weak form PDE modeling and found to be comparable with the measurements of the real laboratory tests. It was demonstrated that the weak form PDE-based FE modeling can serve as an efficient method to implement new constitutive models and can free engineers from user subroutine programming.

Publication DOI: https://doi.org/10.1061/(ASCE)MT.1943-5533.0001395
Divisions: College of Engineering & Physical Sciences
College of Engineering & Physical Sciences > Aston Institute of Materials Research (AIMR)
College of Engineering & Physical Sciences > Aston Logistics and Systems Institute
Uncontrolled Keywords: asphalt mixture,viscoelasticity,finite-element modeling,weak form partial differential equation,PDE,master curve,generalized Maxwell model
Publication ISSN: 1943-5533
Last Modified: 22 Feb 2024 08:09
Date Deposited: 19 Aug 2019 10:07
PURE Output Type: Article
Published Date: 2016-02
Published Online Date: 2015-07-30
Accepted Date: 2015-07-01
Authors: Zhang, Yuqing (ORCID Profile 0000-0001-5825-0131)
Birgisson, Bjorn
Lytton, Robert L.



Version: Accepted Version

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