Viscoelastic Response Solutions of Multilayered Asphalt Pavements

Zhao, Yanqing; Ni, Yuanbao; Wang, Lei; Zeng, Weiqiao

doi:10.1061/(asce)em.1943-7889.0000797

Cited by 16 publications

(5 citation statements)

References 14 publications

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“…Due to the complexity of the analytical inversion transform, the numerical Laplace transform inversion in the time domain was used in the analysis. Among various methods introduced for numerical Laplace inversion, Gaver functional was the most powerful and proven method which was written as below (Gaver, 1966;Valkó and Abate, 2004;Zhao et al, 2014):…”

Section: Laplace Transform Inversionmentioning

confidence: 99%

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Viscoelastic analysis of surface responses in flexible pavements under different loading conditions

Alae

Leng

Zhao

et al. 2021

Road Materials and Pavement Design

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Due to time-temperature dependent behavior of asphalt concrete (AC), viscoelastic analysis is necessary for understanding the mechanism of top-down cracking (TDC). In this study, a new approach for determining the viscoelastic surface responses of multilayered asphalt pavements was developed to solve the complicated oscillating behavior and slow convergence of the integrand of Laplace-transformed step-response function at the pavement surface. By employing the Lucas algorithm, the irregular oscillations were reduced to regular oscillations by separating the integrand into high-and low-frequency components. After that, the integration, summation, and extrapolation approaches were applied to converge the variations. The results calculated from the proposed approach were widely verified against finite-element (FE) results. According to horizontal strains calculated at pavement surface, This is the Pre-Published Version.

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Section: Laplace Transform Inversionmentioning

confidence: 99%

“…Using the Modified Havriliak-Negami (MHN) model in this research, behavior of AC was characterized in complex domain. The MHN model was given by (Zhao et al, 2014):…”

Section: Materials Characterizationmentioning

confidence: 99%

Viscoelastic analysis of surface responses in flexible pavements under different loading conditions

Alae

Leng

Zhao

et al. 2021

Road Materials and Pavement Design

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“…The LVET analysis procedure suggested by Zhao et al ( 19 ) was used in this study to determine the critical viscoelastic responses of asphalt pavements to moving vehicular load. The LVET analysis procedure is developed based on the elastic–viscoelastic correspondence principle.…”

Section: Response Analysis Approach Based On Lvetmentioning

confidence: 99%

“…Finally, according to the Boltzmann superposition principle, the viscoelastic response to the moving load can be determined by accumulating the response from each shift using the convolution integral. Details of the development and verification of the analysis procedure are documented elsewhere ( 19 ).…”

Section: Response Analysis Approach Based On Lvetmentioning

confidence: 99%

Evaluation of the Response Analysis Approach Used in the Mechanistic-Empirical Pavement Design Guide

Zhao

Liu

et al. 2020

Transportation Research Record

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Asphalt concrete (AC) is a typical viscoelastic material exhibiting rate-dependent behavior. The rate-dependency of AC should be properly taken into consideration in pavement response analysis to accurately evaluate pavement performance and life. In the Mechanistic-Empirical Pavement Design Guide (MEPDG), the dynamic modulus master curve is used to account for the rate-dependency of the dynamic modulus of AC. However, the rate-dependent phase angle is ignored and a constant phase angle of 0 is assumed. The partial characterization of rate-dependent properties of AC in the MEPDG may lead to inaccurate results. This study compares the pavement responses computed using the MEPDG approach and the layered viscoelastic theory (LVET) which utilizes the complex modulus master curve to fully characterize the rate-dependent properties of AC. Typical three-layer pavement structures were analyzed at three temperatures (−10°C, 20°C and 50°C) and four speeds (10, 40, 80 and 120 km/h). The results show that the horizontal tensile stresses at the bottom of cement-treated base layer obtained from the two approaches are almost the same, and for other responses analyzed, the results obtained from the MEPDG approach are larger than those from the LVET approach, especially for the responses in the AC layer. The normalized difference of the vertical compressive strain at the mid-depth of the AC layer between the two approaches can be up to 100% and that for the horizontal tensile strain at the bottom of the AC layer can be more than 50%.

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“…Traditional studies have treated asphalt mixtures as linear viscoelastic materials, using linear viscoelastic constitutive equations to study their performance, such as the Huet model [1], 2S2P1D model [2], generalized Kelvin model [3], and others. Similarly, in the study of the mechanical response of asphalt pavement structures, the properties of linear viscoelastic materials are often incorporated into layered viscoelastic systems or finite element viscoelastic analyses [4][5][6]. However, numerous studies have shown that asphalt mixtures are nonlinear viscoelastic materials [7][8][9], with material properties exhibiting stress dependency.…”

Section: Introductionmentioning

confidence: 99%

Influence of asphalt mixture nonlinearity on pavement mechanical response

Yang,

2023

Vib. proced.

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In view of the influence of asphalt mixture nonlinearity on the mechanical response of pavement structure, the creep compliance of AC-16 under 0.1, 0.3, 0.5, 0.7 and 0.9 MPa is studied first. The results show that the asphalt mixture is in the linear viscoelastic region, when the load is in the 0.1-0.5 MPa interval. When the load is greater than 0.5 MPa, the creep compliance increases significantly, and asphalt mixture presents a nonlinear property. The Prony series is used to fit the creep compliance data, and the relaxation modulus is calculated based on the convolution relationship between creep compliance and relaxation modulus in viscoelastic mechanics. The relaxation modulus under different loads is introduced into the mechanical calculation of layered viscoelastic system. The calculation results show that the nonlinearity of asphalt mixture significantly affects the permanent deformation of asphalt layer, but has little effect on the fatigue problem of the asphalt base. In the design of pavement structure, attention should be paid to the nonlinearity of asphalt mixture.

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Viscoelastic Response Solutions of Multilayered Asphalt Pavements

Cited by 16 publications

References 14 publications

Viscoelastic analysis of surface responses in flexible pavements under different loading conditions

Viscoelastic analysis of surface responses in flexible pavements under different loading conditions

Evaluation of the Response Analysis Approach Used in the Mechanistic-Empirical Pavement Design Guide

Influence of asphalt mixture nonlinearity on pavement mechanical response

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