Identification of Viscoelastic Property of Pile-Soil Interactions with Fractional Derivative Model

Zatar, Wael; Xiao, Feng; Chen, Gang S.; Hulsey, J. Leroy

doi:10.1177/1461348420979478

Cited by 3 publications

(2 citation statements)

References 43 publications

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“…(2) e curves of the radial displacement and radial stress of the soil varying with frequency obtained by classical viscoelastic model and fractional derivative viscoelastic model fluctuate more than that obtained by an elastic model. When analyzing the dynamic response of circular tunnel lining in fractional derivative viscoelastic radially inhomogeneous soil, the influence of the viscoelasticity of soil should not be ignored.…”

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confidence: 73%

“…To accurately fit the experimental data, the high-order differential term often has to be cancelled or the application scope of the constitutive model is reduced. Because the fractional derivative viscoelastic model can describe the mechanical behavior of soil in a wide frequency range, few experimental parameters are required to determine the model [2]. In recent years, the application of fractional derivative viscoelastic model in the field of geotechnical engineering has been paid more and more attention.…”

Section: Introductionmentioning

confidence: 99%

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Study on Dynamic Characteristics of Circular Tunnel Lining in Fractional Derivative Viscoelastic Radially Inhomogeneous Soil

Zhang

Qi-fang

et al. 2022

Advances in Civil Engineering

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Considering the heterogeneous and viscoelastic characteristics of the soil around the tunnel, the dynamic characteristics of circular tunnel lining in fractional derivative viscoelastic radially inhomogeneous soil are studied. To accurately describe the viscoelasticity of the soil around the circular tunnel, the fractional derivative viscoelastic model is used to describe the stress-strain relationship of the soil. To consider the heterogeneous characteristics of the soil around the circular tunnel caused by construction and in situ stress, the soil around the tunnel lining is divided into undisturbed area and disturbed area, and the disturbed area is divided into multiple thin concentric rings. A dynamic interaction model of fractional derivative viscoelastic radially inhomogeneous soil-circular tunnel lining is established. By solving the vibration of the soil in undisturbed area and each circle and considering the continuity conditions of the radial displacement and radial stress of the soil at the junction of each circle, the transfer matrix of the radial displacement and radial stress of the soil at the outer and inner boundaries of disturbed area is obtained. Based on the transfer matrix of the radial displacement and radial stress of soil in the disturbed area and considering the boundary conditions and continuity conditions of the problem, the solution of the dynamic response of circular tunnel lining in fractional derivative viscoelastic radially inhomogeneous soil is obtained in the frequency domain. The results show that the fractional derivative viscoelastic inhomogeneous soil-circular tunnel lining system also has resonance under the action of simple harmonic internal pressure, and the curves of the radial displacement and radial stress of soil varying with frequency obtained by the fractional derivative viscoelastic model fluctuate greatly. When studying the dynamic response of circular tunnel lining in inhomogeneous soil, the influence of viscoelasticity of the soil around the tunnel should not be ignored. The shear modulus ratio of soil in the affected area around the tunnel has a great influence on the dynamic characteristics of circular tunnel lining in fractional derivative viscoelastic radial inhomogeneous soil, and the inhomogeneous characteristics of soil should not be ignored. The greater the thickness and shear modulus of the tunnel lining, the greater the stiffness of tunnel lining and the smaller the radial stress and radial displacement of the soil.

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confidence: 73%

Section: Introductionmentioning

confidence: 99%

Study on Dynamic Characteristics of Circular Tunnel Lining in Fractional Derivative Viscoelastic Radially Inhomogeneous Soil

Zhang

Qi-fang

et al. 2022

Advances in Civil Engineering

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On nonlinear vibrations of an elastic plate on a fractional viscoelastic foundation in a viscoelastic medium in the presence of the one-to-one internal resonance

Shitikova

Kandu

Krusser

2023

Journal of Sound and Vibration

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Application of Fractional Calculus in Predicting the Temperature-Dependent Creep Behavior of Concrete

Chen,

Gong,

Meng

2024

Fractal Fract

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Creep is an essential aspect of the durability and longevity of concrete structures. Based on fractional-order viscoelastic theory, this study investigated a creep model for predicting the temperature-dependent creep behavior of concrete. The order of the proposed fractional-order creep model can intuitively reflect the evolution of the material characteristics between solids and fluids, which provides a quantitative way to directly reveal the influence of loading conditions on the temperature-dependent mechanical properties of concrete during creep. The effectiveness of the model was verified using the experimental data of lightweight expansive shale concrete under various temperature and stress conditions, and the comparison of the results with those of the model in the literature showed that the proposed model has good accuracy while maintaining simplicity. Further analysis of the fractional order showed that temperature, not stress level, is the key factor affecting the creep process of concrete. At the same temperature, the fractional order is almost a fixed value and increases with the increase in temperature, reflecting the gradual softening of the mechanical properties of concrete at higher temperature. Finally, a novel prediction formula containing the average fractional-order value at each temperature was established, and the creep deformation of concrete can be predicted only by changing the applied stress, which provides a simple and practical method for predicting the temperature-dependent creep behavior of concrete.

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Identification of Viscoelastic Property of Pile-Soil Interactions with Fractional Derivative Model

Cited by 3 publications

References 43 publications

Study on Dynamic Characteristics of Circular Tunnel Lining in Fractional Derivative Viscoelastic Radially Inhomogeneous Soil

Study on Dynamic Characteristics of Circular Tunnel Lining in Fractional Derivative Viscoelastic Radially Inhomogeneous Soil

On nonlinear vibrations of an elastic plate on a fractional viscoelastic foundation in a viscoelastic medium in the presence of the one-to-one internal resonance

Application of Fractional Calculus in Predicting the Temperature-Dependent Creep Behavior of Concrete

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