A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture

Zhang, Yongjun; Liu, Xiu; Yin, Boyuan; Luo, Wenbo

doi:10.3390/polym13081278

Cited by 12 publications

(10 citation statements)

References 20 publications

(23 reference statements)

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“…Equation (6) indicates that the strain rate of the material, which decreases as time increases, and is consistent with the decrease in the strain rate at the decelerating stage of creep. When time t is sufficiently large, the strain rate converges to zero, which is consistent with the consolidation effect at the lower stress levels [ 19 ]. Figure 2 shows the Abel model used to describe the consolidation effect and the decelerated stage of creep.…”

Section: Theoretical Backgroundsupporting

confidence: 56%

“…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%

“…Furthermore, different deformation mechanisms occur throughout the creep process of asphalt mixtures at various stresses. At a lower stress level, the asphalt mixture is gradually compacted and the aggregates are gradually stacked to form a stable skeleton structure, which results in a “consolidation effect” [ 19 ]. This deformation mechanism is known as the creep hardening mechanism [ 18 ], and the asphalt mortar resists deformation together with the skeleton structure during the procedure.…”

Section: Introductionmentioning

confidence: 99%

“…One potential approach is to add a plastic element into the classic differential models to construct viscoelastoplastic models to accurately describe the three-stage creep behavior of asphalt mixtures at high stresses. The Nishihara model, which adds a plastic element to the Burgers model, was developed to describe the tertiary stage of creep and was used in the mechanical response analysis of bituminous materials [ 19 ]. A nonlinear viscoelastic-plastic creep model for asphalt mixtures was developed using variable-order fractional calculus, where time-varying viscoplastic elements were used to describe the tertiary stage of creep performance [ 15 ].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Theoretical Backgroundsupporting

confidence: 56%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Viscoelastic Damage Characteristics of Asphalt Mixtures Using Fractional Rheology

Zhang

et al. 2021

Materials

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“…In these general equations, t represents all times (i.e., the total time history of composite), whereas

is the time at which stress

(constant for creep loading) is applied [ 29 , 30 , 31 , 32 ]. Substitution of the above equation into Equation (11) yields:

…”

Section: Viscoelastic Modelsmentioning

confidence: 99%

A Mixed Iteration Method to Determine the Linear Material Parameters in the Study of Creep Behavior of the Composites

2021

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This paper presents and applies a mixed iteration method to determine the nonlinear parameters of the material used to study a composite’s creep behavior. To describe the research framework, we made a synthetic presentation of the viscoelastic behavior of composite materials by applying classical models. Further, the presented method was based on a calculation algorithm and program, which was applied on several types of materials. In a consecutive procedure of experiments and calculations, we determined the material parameters of the studied materials. The method was further applied to two composite materials in which the nonlinearity factors at different temperatures were determined.

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Shear creep mechanical properties and damage model of mudstone in open-pit coal mine

Wang

et al. 2022

Sci Rep

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Clarifying the shear creep characteristics of rock and scientifically analyzing its creep deformation law is the key to solving the problem of safe construction and long-term stability analysis of the open-pit coal slope rock mass. Shear creep tests were carried out on mudstone from an open-pit coal mine in Eastern Mongolia to reveal the creep characteristics of mudstone under different normal and shear stresses. Based on the classical Nishihara model, a new composite six-element nonlinear shear creep damage model is established by introducing nonlinear elastomers. Using the least square method, model verification and parameter identification are carried out on the variable test data. At the same time, the influence law of the model parameters on the rock creep deformation is analyzed according to the theoretical curve. The study results showed that the nonlinear shear creeps damage model could better describe the creep characteristics of rock different normal stress and shear stress levels, significantly the non-linear both the strain and time of attenuation creep and accelerated creep. The creep characteristics of the accelerated creep stage described by this model are better than those described by the classical Nishihara model. The model curve is consistent with the changing trend of the experimental data, and the degree of agreement is very high. The correlation coefficients are all above 0.98, which verifies the accuracy and rationality of the model. The influence law of creep parameters is analyzed. The parameters b and c increase nonlinearly with creep. The increase of λ accelerates the process of rock attenuation creep stage; the increase of η10 slows down the progress of rock decay creep stage; with the increase of α, the deformation and creep rate of rock in accelerated creep stage gradually increase. When η2 increases, the deformation in the acceleration stage decreases gradually. The research results can provide important theoretical support for the safe construction and long-term stability analysis of open-pit coal slope rock masses.

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A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture

Cited by 12 publications

References 20 publications

Viscoelastic Damage Characteristics of Asphalt Mixtures Using Fractional Rheology

Viscoelastic Damage Characteristics of Asphalt Mixtures Using Fractional Rheology

A Mixed Iteration Method to Determine the Linear Material Parameters in the Study of Creep Behavior of the Composites

Shear creep mechanical properties and damage model of mudstone in open-pit coal mine

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