Fractional-order visco-elastoplastic constitutive model for rock under cyclic loading

Pu, Shaoyun; Zhu, Zhiduo; Song, Lei; Song, Wei; Peng, Yuyi

doi:10.1007/s12517-020-05288-9

Cited by 20 publications

(6 citation statements)

References 12 publications

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“…us, the constant coefficient Abel dashpot is an element that can be used to describe stress-strain relationship of materials between Hooke body and Newton body [130]. However, because the value range of derivative order β belongs to [0, 1], the fractional derivatives creep constitutive model cannot reflect the nonlinear creep characteristics of rocks [131].…”

Section: Fractional Derivatives Creep Constitutivementioning

confidence: 99%

Creep Properties and Constitutive Model of Salt Rock

Zhang

Song

Wang

et al. 2021

Advances in Civil Engineering

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Due to the advantages of low porosity, low permeability, high ductility, and excellent capacities for creep and damage self-healing, salt rock is internationally considered as the ideal medium for underground storage of energy and disposal of radioactive waste. As one of the most important mechanical properties of salt rock, creep properties are closely related to the long-term operation stability and safety of salt rock underground storage cavern. A comprehensive review on the creep properties and constitutive model of salt rock is put forward in this paper. The opinions and suggestions on the research priority and direction of salt rock's mechanical properties in the future are put forward: (1) permeability variation of salt rock under the coupling effect of temperature and stress; (2) damage mechanism and evolution process under the effect of creep-fatigue interaction and low frequency cyclic loading; (3) microdeformation mechanisms of salt rock and the relationship between microstructure variations and macrocreep behavior during creep process; (4) the establishment of the creep damage constitutive model with simple form, less parameters, easy application, and considering the damage self-healing ability of salt rock simultaneously.

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Section: Fractional Derivatives Creep Constitutivementioning

confidence: 99%

Creep Properties and Constitutive Model of Salt Rock

Zhang

Song

Wang

et al. 2021

Advances in Civil Engineering

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“…e creep phases of under cyclic loading are also called as deceleration, constant velocity, and acceleration creep. However, when the upper limit of cyclic loading is less than the critical strength, fatigue failure does not occur, and the creep behavior presents two creep stages, i.e., transient and steady-state (see I curve in Figure 1(a)) [43,45].…”

Section: Fatiguementioning

confidence: 99%

Visco‐Elastoplastic Constitutive Fatigue Model for Rocks

Liu

Rao

2020

Advances in Civil Engineering

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The study on the constitutive fatigue model for rocks under cyclic loading has an important significance in rock engineering. In order to study the fatigue properties of rocks under cyclic loading, according to the theory of rheological mechanics and the existing three basic one-dimensional fatigue elements, i.e., elastic, viscous, and plastic fatigue elements, the three-dimensional elastic, viscous, and plastic fatigue elements were constructed. Meanwhile, a fatigue yield criterion for rocks under cyclic loading was proposed, and a three-dimensional nonlinear visco-elastoplastic fatigue constitutive model (NVPFM) for rocks was established by using the flow criterion related to the proposed fatigue yield criterion. Compared with the test results of rocks under cyclic loading, the three-dimensional NVPFM could be used to describe the transient, steady-state, and tertiary creep phases of rocks under cyclic loading.

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“…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. Combining the fractional-order viscoplastic component with Burgers model, a fractional-order viscoelastic-plastic model (FVEPM) of rock was established.…”

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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Fractional-order visco-elastoplastic constitutive model for rock under cyclic loading

Cited by 20 publications

References 12 publications

Creep Properties and Constitutive Model of Salt Rock

Creep Properties and Constitutive Model of Salt Rock

Visco‐Elastoplastic Constitutive Fatigue Model for Rocks

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

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