Nonlinear creep model and parameter identification of mudstone based on a modified fractional viscous body

Song, Yang; Wang, Heping; Chang, Yongtao; Li, Yongqi

doi:10.1007/s12665-019-8619-z

Cited by 13 publications

(2 citation statements)

References 10 publications

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“…At present, most of the widely used rheological models cannot accurately describe the accelerated To address this challenge, some scholars have introduced damage deformation theory into rheological constitutive models (Chan et al, 1994;Alshamrani and Sture, 1998;Li, 2019). Based on the threshold and damage effect of accelerated rheology, damage variables are involved to correct viscosity coefficient or deformation modulus of the soil (Song et al, 2019).…”

Section: Validation and Discussion Of Modelmentioning

confidence: 99%

Shear rheological behavior of clay: direct simple shear test and equivalent timeline concept-based model

Ge,

Jungao,

Fulong

et al. 2024

Preprint

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Studying the shear rheological properties of clay is crucial for evaluating slope stability and preventing excessive displacement of roadbeds and retaining walls. In this study, a series of direct simple shear tests were conducted by a novel apparatus to investigate the shear rheological behavior of clay in western China. Test results reveal that both the shear strain-time curve and shear stress-strain curve can be well described by power functions, and the power of shear strain-time curve is independent of the shear stress level. Based on this finding, an empirical shear rheological equation under constant shear stress is built. By assuming the shear stress-strain curves as a series of parallel lines in a double logarithmic coordinate axis, shear equivalent timelines are proposed based on Yin Graham's equivalent timeline theory. The shear equivalent time is then introduced into the proposed empirical shear rheological equation, thereby an equivalent timeline shear rheological model considering the effect of consolidation pressure under varying shear stresses is derived. The shear rheological strains predicted by the model are shown to agree well with test data before clay failure.

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Section: Validation and Discussion Of Modelmentioning

confidence: 99%

Shear rheological behavior of clay: direct simple shear test and equivalent timeline concept-based model

Ge,

Jungao,

Fulong

et al. 2024

Preprint

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show abstract

“…Different from linear creep, the nonlinear creep of concrete no longer has convergence, and the strain will rise sharply at a certain moment until it fails ( 17 ). If a hydraulic structure is under long-term continuous load with a high stress–strength ratio, the strain will undergo an accelerated creep stage within a limited time, which will cause macroscopic structural damage ( 18 – 20 ). Therefore, the research on the nonlinear creep of concrete structures is very important for the structural design and safety evaluation of hydraulic structures.…”

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confidence: 99%

Viscoelastic–Plastic Constitutive Model Considering the Damage Characteristics of Concrete in the Process of Nonlinear Creep

Shen

et al. 2021

Transportation Research Record

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Under long-term load, the creep deformation of concrete materials has a serious impact on the structural safety of hydraulic structures, especially under the action of ultra-high stress levels, the concrete materials will undergo nonlinear creep, which is extremely easy to cause structural damage. In this study, the uniaxial nonlinear creep test of concrete specimens was used to establish the damage index based on the wave velocity value of ultrasonic flaw detection, and the creep and damage degree curve of the concrete specimen were obtained. The ideal elastic element, the Kelvin body, and the nonlinear viscoplastic element are connected in series, and a new viscoelastic–plastic model considering the creep characteristics of concrete is proposed. Based on the principle of least squares, the Levenberg–Marquardt (LM) algorithm is used to inverse the parameters of the nonlinear creep test. In addition, the model is verified by the measured data of linear creep. At the same time, the sensitivity of each model parameter is analyzed. The research shows that the LM algorithm can give the fitting parameters of the model better and faster, and the fitting values of the model are similar to the experimental results. The sensitivity analysis of the parameters shows that the proposed model has good stability and good adaptability. The model has a more accurate description of the various stages of creep, and may be conveniently applied to concrete creep calculations in actual projects.

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New approach for predicting time-dependent deformation of shale rock: a modified fractional-order creep constitutive model

Wang,

Chen,

Cui

et al. 2024

Bull Eng Geol Environ

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Nonlinear creep model and parameter identification of mudstone based on a modified fractional viscous body

Cited by 13 publications

References 10 publications

Shear rheological behavior of clay: direct simple shear test and equivalent timeline concept-based model

Shear rheological behavior of clay: direct simple shear test and equivalent timeline concept-based model

Viscoelastic–Plastic Constitutive Model Considering the Damage Characteristics of Concrete in the Process of Nonlinear Creep

New approach for predicting time-dependent deformation of shale rock: a modified fractional-order creep constitutive model

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