Temporal Homogenization Modeling of Viscoelastic Asphalt Concretes and Pavement Structures under Large Numbers of Load Cycles

Zhang, Hanyu; Airey, Gordon; Zhang, Yuqing

Abstract

This paper aims to introduce a highly efficient computational model compared to the current cycle-by-cycle simulation strategy to compute the viscoelastic responses of asphalt concretes and pavement structures under large numbers of load cycles. An explicit constitutive relation for viscoelastic solids in multiple time scales was developed based on the temporal homogenization. The original initial-boundary value problem was divided into a global part in the slow time scale and a local part in the fast time scale. Two simulation studies were presented to validate the computational accuracy and efficiency of the proposed model: (1) a cylindrical asphalt concrete subject to a uniaxial cyclic compression load, and (2) a pavement structure subject to a locally cyclic loading. The laboratory test results and field measurements were compared with the modeled responses to validate the models before comparing with the reference solutions. Results indicate that the temporal homogenization-based viscoelastic model saves considerable computational cost and maintains a satisfactory accuracy. The absolute values of relative error of the modeled responses between the time homogenization and reference solutions are lower than 1% and 4% for the cylindrical asphalt concrete and pavement structure under locally cyclic loadings, respectively. Based on the proposed computational approach, only 4 min are needed to model the response of a cylindrical asphalt concrete subject to 104 repeated load cycles under a uniaxial compression load. The computational time is reduced from 7 h of the reference solution to 38 min of the temporal homogenization solution to model 103 load cycles of a viscoelastic pavement structure.

Citation

Zhang, H., Airey, G., & Zhang, Y. (2024). Temporal Homogenization Modeling of Viscoelastic Asphalt Concretes and Pavement Structures under Large Numbers of Load Cycles. Journal of Engineering Mechanics, 150(11), https://doi.org/10.1061/jenmdt.emeng-7697

• Journal Article Type: Article
• Acceptance Date: Jun 20, 2024
• Online Publication Date: Aug 29, 2024
• Publication Date: 2024-11
• Deposit Date: Sep 2, 2024
• Publicly Available Date: Sep 16, 2024
• Journal: Journal of Engineering Mechanics
• Print ISSN: 0733-9399
• Electronic ISSN: 1943-7889
• Publisher: American Society of Civil Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 150
• Issue: 11
• DOI: https://doi.org/10.1061/jenmdt.emeng-7697
• Public URL: https://nottingham-repository.worktribe.com/output/38913873
• Publisher URL: https://ascelibrary.org/doi/10.1061/JENMDT.EMENG-7697
• Additional Information: This material may be downloaded for personal use only. Any other use requires prior permission of the American Society of Civil Engineers. This material may be found at https://ascelibrary.org/doi/10.1061/JENMDT.EMENG-7697