Modeling of Nonlinear Viscoelastic Creep of Polycarbonate

Luo, Wenbo; Jazouli, Said; Vu‐Khanh, Toan

doi:10.1515/epoly.2007.7.1.191

Cited by 6 publications

(5 citation statements)

References 11 publications

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“…In general, the viscoelasticity of materials can be divided into two categories: linear viscoelasticity and nonlinear viscoelasticity [ 1 , 2 , 3 ]. It can be distinguished by creep tests at different stress levels.…”

Section: Introductionmentioning

confidence: 99%

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A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture

et al. 2021

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The mechanical behavior of asphalt mixture under high stresses presents nonlinear viscoelasticity and permanent deformation. In this paper, a nonlinear fractional viscoelastic plastic (NFVEP) creep model for asphalt mixture is proposed based on the Nishihara model, with a Koeller spring-pot replacing the Newton dashpot. The NFVEP model considers the instantaneous elasticity, viscoelasticity with damage and time-hardening viscoplasticity with damage concurrently, and the viscoelastic response is modeled by fractional derivative viscoelasticity. To verify the model, uniaxial compressive creep tests under various stresses ranging from 0.4 MPa to 0.8 MPa were carried out at room temperature. The NFVEP model predictions are in good agreement with the experiments. The comparison with the modified Nishihara model and the Burgers model reveals the advantages of the NFVEP model. The results show that the NFVEP model, with the same set of parameters, can not only describe the primary and steady-state creep stages of asphalt mixture under low stress levels but also the whole creep process, including the tertiary creep stage, of asphalt mixture under high stress levels.

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Section: Introductionmentioning

confidence: 99%

“…The commonly used nonlinear viscoelastic models include multiple integral models, single integral models and power law models [ 2 , 3 ]. Among them, the single integral models have simple forms and have been widely used in engineering applications because of the easy determination of the model kernel function by simple experiments.…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture

et al. 2021

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“…The Boltzmann superposition model is modified in the form of its convolution integrals, and only the stress terms are changed to characterise the nonlinear viscoelasticity [19,20]:…”

Section: Modified Superposition Principle: Leaderman Representationmentioning

confidence: 99%

Modelling of nonlinear viscoelastic creep behaviour of hot-mix asphalt

Gao

Wang

et al. 2015

Construction and Building Materials

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“…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 ]. The integral viscoelastic constitutive model, which considers the loading history and memory of materials, is developed based on methods such as the Boltzmann superposition principle or the Leaderman modified superposition principle.…”

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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Modeling of Nonlinear Viscoelastic Creep of Polycarbonate

Cited by 6 publications

References 11 publications

A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture

A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture

Modelling of nonlinear viscoelastic creep behaviour of hot-mix asphalt

Viscoelastic Damage Characteristics of Asphalt Mixtures Using Fractional Rheology

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