Modified fractional-Zener model—Numerical application in modeling the behavior of asphalt mixtures

Zhang, Qipeng; Gu, Xingyu; Dong, Qiao; Jia, Liang

doi:10.1016/j.conbuildmat.2023.131690

Cited by 13 publications

(1 citation statement)

References 32 publications

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“…The user subroutine of ADINA commercial finite element software was employed to simulate the artificial freezing curtain in a deep coal mine, and the numerical simulation results exhibited excellent agreement with field-measured data. The dynamic modulus and semi-circular bending test of an asphalt mixture were numerically simulated using the fractional Zener model (FZM) and the improved fractional Zener model (MFZM) in ABAQUS software by Qipeng Zhang et al [25]. The experimental results exhibited excellent agreement with the simulation results obtained from MFZM.…”

Section: Introductionmentioning

confidence: 86%

The Application of Fractional Derivative Viscoelastic Models in the Finite Element Method: Taking Several Common Models as Examples

Zheng,

Zhang,

2024

Fractal Fract

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This paper aims to incorporate the fractional derivative viscoelastic model into a finite element analysis. Firstly, based on the constitutive equation of the fractional derivative three-parameter solid model (FTS), the constitutive equation is discretized by using the Grünwald–Letnikov definition of the fractional derivative, and the stress increment and strain increment relationship and Jacobian matrix are obtained by using the difference method. Subsequently, we degrade the model to establish stress increment and strain increment relationships and Jacobian matrices for the fractional derivative Kelvin model (FK) and fractional derivative Maxwell model (FM). Finally, we further degrade the fractional derivative viscoelastic model to derive stress increment and strain increment relationships and Jacobian matrices for a three-component solid model and Kelvin and Maxwell models. Based on these developments, a UMAT subroutine is implemented in ABAQUS 6.14 finite element software. Three different loading modes, including static load, dynamic load, and mobile load, are analyzed and calculated. The calculations primarily involve a convergence analysis, verification of numerical solutions, and comparative analysis of responses among different viscoelastic models.

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Section: Introductionmentioning

confidence: 86%

The Application of Fractional Derivative Viscoelastic Models in the Finite Element Method: Taking Several Common Models as Examples

Zheng,

Zhang,

2024

Fractal Fract

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Rational Modeling and Design of Piezoelectric Biomolecular Thin Films toward Enhanced Energy Harvesting and Sensing

Dong,

Ke,

Liao

et al. 2024

Adv Funct Materials

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The dynamic electromechanical coupling behavior of composite materials is highly dependent on external excitation frequency. While degradable biomolecular materials typically exhibit lower piezoelectric coefficients compared to ceramics, neglecting their frequency‐dependent performance in the design of piezoelectric devices further leads to less efficient utilization of their piezoelectric properties. This oversight greatly hinders the practical application of these materials. To address this, a novel fractional derivation (FD) theory‐assisted model is introduced to reversely design the glycine‐polyvinyl alcohol (PVA) thin films for versatile enhanced bio‐applications. An electromechanical coupling model incorporating FD theory is developed to learn the relationships between FD parameters, film dimensions, and dynamic electromechanical properties. This model accurately predicts the electromechanical performance of the films across a wide frequency range, validated by both finite element simulations and experimental results. This therefore allows to establish key design principles for piezoelectric thin film in bioenergy harvesting and sensing, by tailoring thin film parameters to enhance the piezoelectric performance at specific stimuli frequencies. Demonstrations of glycine‐PVA film devices guided by this model reveal excellent performance in ultrasonic energy harvesting and carotid artery bio‐signal sensing. This study provides a robust theoretical framework for designing and optimizing biodegradable piezoelectric materials for various practical applications.

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Morphology characteristics of filler particles and their effects on the low–temperature cracking behavior of asphalt mastics

Xing,

Fang,

Lyu

et al. 2024

Construction and Building Materials

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Modified fractional-Zener model—Numerical application in modeling the behavior of asphalt mixtures

Cited by 13 publications

References 32 publications

The Application of Fractional Derivative Viscoelastic Models in the Finite Element Method: Taking Several Common Models as Examples

The Application of Fractional Derivative Viscoelastic Models in the Finite Element Method: Taking Several Common Models as Examples

Rational Modeling and Design of Piezoelectric Biomolecular Thin Films toward Enhanced Energy Harvesting and Sensing

Morphology characteristics of filler particles and their effects on the low–temperature cracking behavior of asphalt mastics

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