Study of the permanent deformation of binders and asphalt mixtures using rheological models of fractional viscoelasticity

Lagos-Varas, Manuel; Raposeiras, A.C.; Movilla-Quesada, D.; Arenas, Jorge P.; Castro‐Fresno, Daniel; Muñoz-Cáceres, Osvaldo; Andrés‐Valeri, Valerio C.

doi:10.1016/j.conbuildmat.2020.120438

Cited by 21 publications

(13 citation statements)

References 30 publications

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“…The rheological model is an idealized analysis method for the mechanical and deformation properties of materials [ 35 , 62 ]. The variation of model parameters can theoretically reflect the changes in the properties of the material.…”

Section: Resultsmentioning

confidence: 99%

“…However, deformation parameters are the specific description of the experimental phenomenon, and it is almost impossible to reveal the cause from a theoretical perspective. Therefore, many scholars introduce rheological models into the deformation analysis of asphalts or mixtures [ 34 , 35 ]. Li et al [ 31 ] analyzed the viscoelastic response and creep mechanism of asphalt mixtures using the Burgers model.…”

Section: Introductionmentioning

confidence: 99%

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Experimental Study on Creep–Recovery Behavior of Polyphosphoric Acid (PPA) Modified Asphalt Binders under Multiple Factors

Jiang¹,

Jiang

et al. 2023

Materials

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The polyphosphoric acid (PPA) modified asphalt binder is a potential choice as one of the pavement materials for its excellent high-temperature performance and low cost. To further analyze the influences of temperature and load on the service life of pavement from the perspective of deformation behavior, six kinds of asphalt binders with different PPA dosages were prepared for Multiple Stress Creep and Recovery (MSCR) tests at five temperature levels. The deformation behavior is investigated by basic deformation parameters, rheological simulation, and energy parameter changes. The results show that the percent recovery (R) drops sharply while non-recoverable creep compliance (Jnr) goes up slightly with the increase in temperature. Three-element model, composed by E1, η1, and η2, can be used to describe the creep behavior. PPA-modified asphalt binder exhibits nonlinear creep behavior, and the logarithmic model can simulate recovery behavior better than the power–law model. Stored energy and dissipated energy can characterize the change of energy in the creep process under different conditions and show a significant correlation to deformation parameters. It is concluded that the elastic component of asphalt binders is increased by PPA, which is beneficial to the improvement of the deformation resistance and recovery capacity of asphalt binders. The recommended dosage of PPA is 1.5%. This investigation is conducive to a better understanding of the deformation behavior of PPA-modified asphalt binders and provides a reference for its engineering applications.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental Study on Creep–Recovery Behavior of Polyphosphoric Acid (PPA) Modified Asphalt Binders under Multiple Factors

Jiang¹,

Jiang

et al. 2023

Materials

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“…Mechanical models and testing indices are important for evaluating deformation properties of asphalt binders and mixtures. To better understand the states of permanent deformation, Lagos-Varas et al developed a viscoelastic model using derivatives of fractional order, which can describe the creep, recovery, and relaxation behaviors in an asphalt mixture [ 19 , 20 ]. With the increasing application of viscoelastic and viscoplastic theories in the mechanical analysis of asphalt mixtures, temperature-controlled dynamic triaxial tests are becoming important evaluation methods [ 21 ], and the related repeated load permanent deformation (RLPD) test is the most recommended evaluation method [ 22 , 23 ].…”

Section: Introductionmentioning

confidence: 99%

The Relationship between Poisson’s Ratio Index and Deformation Behavior of Asphalt Mixtures Tested through an Optical Fiber Bragg Grating Strain Sensor

2022

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Flow-rutting is the main distress leading asphalt pavement to undergo premature maintenance, and is produced by the rapid accumulation of shear deformation in asphalt layers under high temperature and heavy loads. The excessive permanent deformation of the asphalt mixture at high temperature is related to the decrease of the material’s stability during the temperature increase and an unfavorable stress state, e.g., low confining pressure and high shear stress, which eventually leads to significant nonlinear viscoplastic behavior. In this research, dynamic modulus tests and repeated loading tests were carried out at 35 °C and 50 °C to analyze the deformation response of materials under a strain amplitude of <200 με and 400~500 μεs, respectively. Based on the in-lab repeated loading tests, the total deformation of the asphalt mixture in each loading and rest cycle was divided into three parts, being elastic, viscoelastic, and viscoplastic strain, and the measurement of the axial and lateral strain of cylindrical samples was realized with the aid of optical fiber Bragg grating strain sensors. It was found that the experimental index of the ratio between lateral strain and longitudinal strain (RLSLS), derived, but distinguished, from Poisson’s ratio defined limited in elastic strain, can characterize the deformation in viscoelastic and viscoplastic behaviors of the mixes. Furthermore, the indices of dynamic modulus, phase angle, complex Poisson’s ratio, stiffness, and creep rate of four types of mixes containing different volcanic ash fillers and asphalt binders at 35 °C and 50 °C were systematically analyzed by the jointed experiments of modified dynamic modulus tests and repeated loading tests, and their consistent trending to the RLSLS index was obtained.

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“…The improvement of constitutive models is gaining increasing interest in the field of rheology in order to better describe the mechanical behaviors of complex rheological materials. Furthermore, several rheological models of asphalt mixtures were proposed in the past [ 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 ]. These models can be divided into integral constitutive and differential constitutive models [ 15 , 20 ].…”

Section: Introductionmentioning

confidence: 99%

“…With the development of viscoelasticity theory, the fractional derivative operator that can describe the historical memory dependence and spatially wide relevance of a material meets the research requirements for examining the complex viscoelastic, non-Newtonian fluid and the porous media mechanics [ 25 ]. Furthermore, the fractional calculus theory achieves great success in describing the rheological behavior of asphalt materials [ 13 , 14 , 15 , 26 , 27 ]. Lagos-Varas et al [ 13 ] established a viscoelastic model using fractional-order derivatives, and unlike the Burgers model, the fractional order model can predict the elastic jump observed at the beginning of the creep modulus.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic Damage Characteristics of Asphalt Mixtures Using Fractional Rheology

Zhang

et al. 2021

Materials

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The mechanical behavior of asphalt mixtures at high stress levels are characterized by non-linear viscoelasticity and damage evolution. A nonlinear damage constitutive model considering the existence of creep hardening and creep damage mechanisms in the entire creep process is proposed in this study by adopting the fractional rheology theory to characterize the three-stage creep process of mixtures. A series of uniaxial compressive creep tests under various stresses were conducted at different temperatures to verify the model. The results indicated that the model predictions were in good agreement with the creep tests. The relationship between the model parameters and applied stresses was established, and the stress range in which the mixture exhibited only creep consolidation was obtained. The damage to the asphalt mixture was initiated in the steady stage; however, it developed in the tertiary stage. A two-parameter Weibull distribution function was used to describe the evolution between the damage values and damage strains at different stress levels and temperatures. The correlation coefficients were greater than 0.99 at different temperatures, indicating that a unified damage evolution model could be established. Thus, the parameters of the unified model were related to material properties and temperature, independent of the stress levels applied to the mixtures.

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Study of the permanent deformation of binders and asphalt mixtures using rheological models of fractional viscoelasticity

Cited by 21 publications

References 30 publications

Experimental Study on Creep–Recovery Behavior of Polyphosphoric Acid (PPA) Modified Asphalt Binders under Multiple Factors

Experimental Study on Creep–Recovery Behavior of Polyphosphoric Acid (PPA) Modified Asphalt Binders under Multiple Factors

The Relationship between Poisson’s Ratio Index and Deformation Behavior of Asphalt Mixtures Tested through an Optical Fiber Bragg Grating Strain Sensor

Viscoelastic Damage Characteristics of Asphalt Mixtures Using Fractional Rheology

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