Long-Term Deformation Analysis for a Vertical Concentrated Force Acting in the Interior of Fractional Derivative Viscoelastic Soils

Li, Xiao-mi; Zhang, Qian‐qing; Feng, Ruo-feng; Qian, Jiangu; Huan-wei, Wei

doi:10.1061/(asce)gm.1943-5622.0001649

Cited by 5 publications

(2 citation statements)

References 33 publications

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“…In the first stage, the settlement decreases with an increase in , while in the second stage, the settlement increases with an increase in , which leads to the intersection of curves with different . As explained by Huang and Li 21 and Li et al, 48 this peculiar intersectant phenomenon is caused by the properties of fractional derivative elements (the spring-pot element represents an intermediate between an ideal solid and an ideal fluid when the -value varies from 0 to 1). The parameter has different effects on the early and later stages of consolidation.…”

Section: Influence Of the Fractional Ordermentioning

confidence: 92%

“…The parameter

α

has different effects on the early and later stages of consolidation. In the first stage, the settlement is mainly affected by the dissipation of pore water, while in the second stage, the settlement is mainly attributed to the viscosity 48 . The observed intersectant phenomenon can be considered the change in the main factors that affect settlement.…”

Section: Parametric Studiesmentioning

confidence: 99%

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Semi‐analytical analysis of fractional derivative rheological consolidation considering the effect of self‐weight stress

Ding

et al. 2021

Num Anal Meth Geomechanics

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Studies have revealed that rheological characteristics and self‐weight stress are nonnegligible during a consolidation process, especially for land reclamation projects or dredged soils. However, they are rarely considered simultaneously in traditional consolidation theories. This paper presents a general solution to the consolidation system of rheological soils that incorporates a fractional derivative model and self‐weight stress. First, the theory of the fractional derivative is introduced to the Merchant model to describe the consolidation behaviours of rheological soils, and the self‐weight stress of soils is simultaneously considered. Based on this model, the governing equation of a rheological consolidation system that considers self‐weight stress is obtained. Second, the analytical solutions of the effective stress and settlement in the Laplace domain are obtained by applying the Laplace transform to the consolidation governing equation. Further, the actual solutions in the real domain are obtained by a numerical Laplace transform inversion method (Abate's fixed Talbot method). Finally, the reliability and correctness of the consolidation theories and the proposed solutions are verified by comparing the calculated results with the degenerate solutions and experimental results in the existing literature. Furthermore, parametric studies are conducted to investigate the influence of rheological parameters and self‐weight parameters on the consolidation settlement and consolidation rate.

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Section: Influence Of the Fractional Ordermentioning

confidence: 92%

“…The parameter