Dynamic Characteristic Master Curve and Parameters of Different Asphalt Mixtures

Ma, Shijie; Fan, Liang; Ma, Tao; Dong, Zhao; Zhang, Yuzhen; Zhang, Xiaomeng

doi:10.3390/app12073619

Cited by 6 publications

(6 citation statements)

References 12 publications

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“…The phase angle master curve of the PU mixture did not show the traditional smooth "Bell" shape reported in [28] and did not have the highest value at intermediate loading frequency, which was different from the master curve of the phase angle of the asphalt mixture. For the phase angle master curve of the asphalt mixture, the master curves of phase angle initially rise with the increase in loading frequency to a maximum value and then fall when the loading frequency is increased even more.…”

Section: Comparing the Master Curves Under Different Modelscontrasting

confidence: 64%

“…The reasons for constructing master curves are as follows [27]: (1) predicting the dynamic modulus and phase angle at temperatures and loading frequencies when test equipment or time is limited; (2) modeling the asphalt pavements under all possible climates and loading conditions; (3) comparing the performance of asphalt mixtures. The master curve provides the main dynamic parameters of viscoelastic materials, and the phase angle can better reflect the material's relaxation characteristics [28]. If the same dynamic modulus of the materials is the same, but the phase angles are different, this means that the materials are different [29].…”

Section: Introductionmentioning

confidence: 99%

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Study on the Phase Angle Master Curve of the Polyurethane Mixture with Dense Gradation

Zhao

Wang

Cui³

et al. 2023

Coatings

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The phase angle master curve of the PU mixture is a new research field that is urgently needed to characterize the viscoelastic of the PU mixture under different conditions. In this paper, five master curve models, five shift factor equations, and four error minimization methods were introduced to fitting the phase angle master curve of the PU mixture. The results analysis indicated that the master curves fitted by different error minimization methods had small differences when the loading frequency was higher than 10−3 Hz. The R2 maximization as the main constraint and the others as the additional constraints were recommended as the error minimization method. The combination of the Christensen Anderson and Marasteanu model (CAM) and kaelble shift factor equation was recommended for fitting the phase angle master curve of the PU mixture. The phase angle master curve of the PU mixture did not follow the “Bell” shape of the asphalt mixture. The PU mixture with smaller temperature susceptibility would still be subject to the PU at higher temperatures and was closer to that of the viscoelastic material. The phase angle master curve construction was analyzed for the first time and proper master curve fitting parameters were recommended for pavement performance predicting and analyzing.

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Section: Comparing the Master Curves Under Different Modelscontrasting

confidence: 64%

Section: Introductionmentioning

confidence: 99%

Study on the Phase Angle Master Curve of the Polyurethane Mixture with Dense Gradation

Zhao

Wang

Cui³

et al. 2023

Coatings

Self Cite

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“…One practical trend for constructing the master curve of the phase angle is based on bell-shaped functions. It is possible to apply the enhanced Gaussian curve [ 18 ], the Beta distribution [ 19 ], and the Lorenz curve (Cauchy distribution) with 3 or 5 parameters [ 20 , 21 ]:

where…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Use of the Modified Ramberg-Osgood Material Model to Predict Dynamic Modulus Master Curves of Asphalt Mixtures

Primusz

Tóth

2023

Materials

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Dynamic modulus master curves are usually constructed by using sigmoid functions, but the coefficients of these functions are not independent of each other. For this reason, it is not possible to clearly identify their physical mean. Another way of describing the dynamic modulus master curves is to choose the Ramberg-Osgood (RAMBO) material model, which is also well-suited for modelling the cyclic behaviour of soils. The Ramberg-Osgood model coefficients are completely independent of each other, so the evaluation of the fitted curve is simple and straightforward. This paper deals with the application of the Ramberg-Osgood material model compared to the usual techniques for constructing a master curve, determining the accuracy in describing the material behaviour of asphalt mixtures, and seeking any surplus information that cannot be derived by traditional techniques. Because the dynamic modulus and phase angle master curves are strictly related, in the present study, the asymmetric bell-shaped frequency curve of Toranzos was used to describe the phase angle for four types of asphalt mixtures (RmB, PmB, RA, and NB). The results show that the RAMBO model is a good alternative to the sigmoid function in describing the master curve of the dynamic modulus. We successfully used the Toranzos asymmetric bell-shaped frequency curve to describe the phase angle master curve. We also found a promising relationship between the independent RAMBO model parameters and the physical properties of the investigated binders, but this requires further research.

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“…As a result, the values of its dynamic modulus and phase angle are used to analyze its thermomechanical characteristics. Viscoelastic materials are considered to be different viscoelastic materials if they have the same dynamic modulus but distinct phase angles [11]. Thus, to study viscoelastic materials, a master curve theory has been developed, including the dynamic modulus master curve and phase angle master curve.…”

Section: Figurementioning

confidence: 99%

“…Dynamic modulus gradually increases and tends to be stable. In low-frequency conditions, the dynamic modulus is reduced and minimal [11].…”

Section: Materials and Specimen Fabricationmentioning

confidence: 99%

Effects of PET and RFCC on the dynamic modulus, phase angle, and complex viscosity of asphalt concrete

Do,

Le,

Nguyen

2023

IOP Conf. Ser.: Mater. Sci. Eng.

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With economic and social development, the total amount of domestic and industrial solid waste discharged is considerable. In 2020, Vietnam generated about 2.2 million tons of plastic waste and 2 million tons of industrial solid waste. And most of them are landfilled and take a long time to decompose. This has dramatically affected the environment, costly land resources, and considerable transportation, burial, and management costs of those landfills. Therefore, many scientists have studied to recycle these wastes. There are two approaches to using recycled waste in hot mix asphalt (HMA). Waste plastic changes the properties of the asphalt binder, and solid waste replaces coarse particles in an asphalt mixture. During the research on using recycled waste for asphalt concrete, PET (Poly Ethylene Terephthalate) and RFCC (Residue Fluid Catalytic Cracking) were chosen for the study. This paper presents a study on the influence of PET (with 0.2% content in HMA) and RFCC (with 5% content in HMA) on the viscoelastic property of asphalt concrete based on dynamic modulus, phase angle, and complex viscosity values. At high temperatures, HMA using PET and RFCC exhibit complete elastic behavior (φ ≈ 50) in contrast to the viscous elastic behavior of the control sample (φ ≈ 150). Compared control sample, RFCC significantly increased the stiffness of HMA at low and high temperatures; with the dynamic modulus of HMA using RFCC increased 1.1 times at low and 1.6 times at high temperatures; the viscosity of HMA using RFCC and PET decreased 10 times and 7 times at low temperatures.

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Dynamic Characteristic Master Curve and Parameters of Different Asphalt Mixtures

Cited by 6 publications

References 12 publications

Study on the Phase Angle Master Curve of the Polyurethane Mixture with Dense Gradation

Study on the Phase Angle Master Curve of the Polyurethane Mixture with Dense Gradation

Use of the Modified Ramberg-Osgood Material Model to Predict Dynamic Modulus Master Curves of Asphalt Mixtures

Effects of PET and RFCC on the dynamic modulus, phase angle, and complex viscosity of asphalt concrete

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