A consistent approach for characterising asphalt concrete based on generalised Maxwell or Kelvin model

Zhao, Yanqing; Ni, Yuanbao; Zeng, Weiqiao

doi:10.1080/14680629.2014.889030

Cited by 37 publications

(15 citation statements)

References 26 publications

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“…No negative spectrum lines can be produced because the pre-smoothing through the HN model entirely eliminates the scatters in the raw data and the estimation of E g adequately considers the trend of the data. It should be mentioned that Zhao et al [42] also dealt with the oscillation issue using n = 2. However, in their procedure an empirical adjustment or removal for the relaxation or retardation times has to be incorporated to avoid the negative spectrum lines.…”

Section: Resultsmentioning

confidence: 98%

A unified procedure for rapidly determining asphalt concrete discrete relaxation and retardation spectra

Sun

Huang

Chen

2015

Construction and Building Materials

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Section: Resultsmentioning

confidence: 98%

A unified procedure for rapidly determining asphalt concrete discrete relaxation and retardation spectra

Sun

Huang

Chen

2015

Construction and Building Materials

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“…In order to describe the frequency-dependent behavior of rubber-like materials, it is quite common to use a set of Maxwell elements (Zhang and Richards, 2007;Renaud et al, 2011;Zhao et al, 2014), which can be described by the linear differential equation of first order…”

Section: One-dimensional Modeling Approachmentioning

confidence: 99%

A finite viscoelastic constitutive model for filled rubber-like materials

Dong

Liao

2015

International Journal of Solids and Structures

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a b s t r a c tFilled rubber-like materials show a significant dependence on predeformation, frequency and amplitude when they are loaded with static predeformations superimposed by harmonic deformations. In order to investigate this predeformation-, frequency-and amplitude-dependent material behavior, a recently developed constitutive model of finite viscoelasticity is proposed based on the models of Lion and Kardelky (2004) and Hofer and Lion (2009). The constitutive equations are geometrically linearized in the neighborhood of predeformation and then formulated for incompressible materials. Finally, the process of parameter identification and some numerical aspects are shown. Additionally, the experimental verification and some numerical simulations will also be supplied. The results show that our model cannot only be used for loading cases with small strains but also with large strains. It may have some meanings for practical engineering applications.

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“…The viscoelastic responses of asphalt mixtures can be expressed by combination of spring and dashpot [23]. The generalized Maxwell model consisting of a spring and m Maxwell elements installed in parallel in Figure 1a can be used to depict the total stress of asphalt mixtures.…”

Section: Viscoelastic Response Representationsmentioning

confidence: 99%

Comparison of Relaxation Modulus Converted from Frequency- and Time-Dependent Viscoelastic Functions through Numerical Methods

Zhang

Cui

et al. 2018

Applied Sciences

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Due to the difficulty of obtaining relaxation modulus directly from experiments, many interconversion methods from other viscoelastic functions to relaxation modulus were developed in previous years. The objectives of this paper were to analyze the difference of relaxation modulus converted from dynamic modulus and creep compliance and explore its potential causes. The selected methods were the numerical interconversions based on Prony series representation. For the dynamic to relaxation conversion, the time spectrum was determined by the collocation method. Meanwhile, for the creep to relaxation conversion, both the collocation method and least squares method were adopted to perform the Laplace transform. The results show that these two methods do not present a significant difference in estimating relaxation modulus. Their difference mostly exists in the transient reduced time region. Calculating the average of two methods is suggested to avoid great deviation of single experiment. To predict viscoelastic responses from creep compliance, the collocation method yields comparable results to the least squares method. Thus, simply-calculated collocation method may be preferable in practice. Further, the master curve pattern is sensitive to the Prony series coefficients. The difference in transient reduced time region may be attributed to the indeterminate Prony series coefficients.

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A consistent approach for characterising asphalt concrete based on generalised Maxwell or Kelvin model

Cited by 37 publications

References 26 publications

A unified procedure for rapidly determining asphalt concrete discrete relaxation and retardation spectra

A unified procedure for rapidly determining asphalt concrete discrete relaxation and retardation spectra

A finite viscoelastic constitutive model for filled rubber-like materials

Comparison of Relaxation Modulus Converted from Frequency- and Time-Dependent Viscoelastic Functions through Numerical Methods

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