A four-element fractional creep model of weakly cemented soft rock

Liu, Jiashun; Jing, Hongwen; Meng, Bo; Wang, Laigui; Yang, Jianjun; Zhang, Xuefeng

doi:10.1007/s10064-020-01869-w

Cited by 32 publications

(11 citation statements)

References 47 publications

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“…There was an obvious creep characteristic for soft soil under high water content (Zhou et al, 2021). Liu et al (2020) pointed out that the soil creep behavior was related to deformation, stress, strength, and time. The slope stability decreased with the rainfall time increasing, and the area with greatest sliding risk was slope foot (Yao et al, 2021).…”

Section: Influence Of Rainfallmentioning

confidence: 99%

Typical site seismic response analysis with reinforcement under earthquake and rainfall in the mountainous areas of China

Zhang

Cao²,

Shen³

2022

Front. Earth Sci.

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Multi-tilted layered soil is widespread in the mountainous areas of China, and pile systems are widely applied to foundation support and repair. In order to investigate the seismic response of pile systems in multi-tilted layered soils under earthquake and rainfall, two models were built and tested through a large 1-g shaking table. The interlayer was tilted and highly weathered, and it was saturated during rainfall. The piles were embedded in the bedrock with different lengths. The results showed that: 1) The acceleration response was weakened in the interlayer, and it diminished as the earthquake amplitude increased. The structures showed the maximum acceleration response. 2) The existence of water in the tilted interlayer led to a greater response of the superstructure. The bending moment of piles varied under different containers, which was mainly due to the inertial force of the container and the potential sliding force of the covering layer. The water in the interlayer from rainfall promoted the bending moment caused by the potential sliding force, increasing the potential risk of instability of the system. 3) The motion mode of the container under rainfall was translation. The rotation angle of the container with saturated moisture content was significant and it increased with the increase of the earthquake amplitude.

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Section: Influence Of Rainfallmentioning

confidence: 99%

Typical site seismic response analysis with reinforcement under earthquake and rainfall in the mountainous areas of China

Zhang

Cao²,

Shen³

2022

Front. Earth Sci.

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“…Instead, it should involve replacing stress with effective stress in the differential form of the theoretical rheological model constitutive equation to derive the damage-creep equations. [39][40][41] (3.) Inappropriate yield condition selection: when a creep model includes plastic elements and operates under three-dimensional stress states, the determination of the yielding state at a point inside the rock not only involves selecting the yield criterion but also pertains to the plastic potential function and flow rules.…”

Section: Introductionmentioning

confidence: 99%

Investigation on damage creep constitutive model of rock under the coupled effect of freeze–thaw cycles and loading

Shi,

Zhu,

Zhu

2024

Fatigue Fract Eng Mat Struct

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The investigation on damage creep properties of rock under freeze–thaw conditions are essential for assessing the long‐term stability of rock mass engineering in cold regions. This research analyzed the damage characteristics of rock under the coupled effect of freeze–thaw cycles and loading; the damage variable under the coupled effect of freeze–thaw cycles and loading was proposed. A damage creep constitutive model was developed, and the determination method for the model parameters was proposed. The rationality of the model was calibrated using test data, and the calculation results of the proposed model were compared with classical Nishihara model. Additionally, the research analyzed the variation of model parameters with the number of freeze–thaw cycles and discussed the damage creep mechanisms of rock under the coupled effect of freeze–thaw cycles and loading.

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“…Tang et al (2018), He et al (2019), (Feng et al 2021), Huang et al (2021), Li et al (2021), Liu et al (2021) combine the fractional differential theory and damage mechanics to establish the creep models, and the creep equations of the models are verified for rock salt, weak structural plane marble, coal samples, and cretaceous saturated frozen sandstone. Liu et al (2020) proposed a quaternary fractional creep model to describe the three-stage creep behavior of weakly cemented soft rocks based on the fractional calculus theory and the H-Fox special function. Pu et al (2020) constructed a fractional-order viscoplastic component under cyclic loading based on fractional-order viscous element.…”

Section: Introductionmentioning

confidence: 99%

The full-stage creep model based on fractional differentiation and Perzyna overstress function for deeply buried soft rock

Yang

Zhou

Liu

et al. 2023

Preprint

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Aiming at the problem that the traditional rock creep constitutive model cannot accurately describe the full-stage creep characteristics of rock, this paper proposes the FBNVP model that can describe the creep characteristics of deeply buried soft rocks in full-stage. Based on fractional differential theory, this model improves the viscosity element and can accurately describe the nonlinear growth process in the stable creep stage. The nonlinear viscoplastic element is constructed based on fractional exponential equation, which can accurately describe the accelerated growth process of creep stage III. The model accurately expresses the three-dimensional constitutive equation under viscoplastic conditions based on the Perzyna overstress function. The indoor uniaxial and triaxial creep test results of chlorite schist in Jinping II hydropower station verify the correctness of the one-dimensional and three-dimensional analytical solutions of the FBNVP model. The results show that compared with the traditional creep model the FBNVP model can accurately describe the creep characteristics of deeply buried soft rock in the full-stage. The model has the characteristics of accurate description, few parameters, clear physical significance and wide application range. It can provide reliable theoretical support for creep analysis of deeply buried soft rock.

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A four-element fractional creep model of weakly cemented soft rock

Cited by 32 publications

References 47 publications

Typical site seismic response analysis with reinforcement under earthquake and rainfall in the mountainous areas of China

Typical site seismic response analysis with reinforcement under earthquake and rainfall in the mountainous areas of China

Investigation on damage creep constitutive model of rock under the coupled effect of freeze–thaw cycles and loading

The full-stage creep model based on fractional differentiation and Perzyna overstress function for deeply buried soft rock

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