Visco-plastic response of deep tunnels based on a fractional damage creep constitutive model

Xu, Guowen; Gutierrez, Marte; Arora, Ketan; Wang, Xin

doi:10.1007/s11440-021-01226-5

Cited by 29 publications

(7 citation statements)

References 31 publications

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“…A two-stress state variable model was established by Amiri et al [ 165 ], comprising cryogenic suction and solid phase stress for describing deformation features of frozen soils, particularly the phenomena of strength weakening and ice segregation owing to the pressure melting. According to Xu et al [ 166 ], under cyclic triaxial circumstances, frozen soil represented cyclic hardening along with a criterion of cyclic failure. It was also indicated that [ 167 ] the layer propulsion can represent the dynamic destruction of frozen soil exposed to the impact loading revealing an association between the strain and instantaneous temperature rise for obtaining the effective elastic modulus' expression via SHPB tests.…”

Section: Classifying the Constitutive Relationsmentioning

confidence: 99%

Extensive overview of soil constitutive relations and applications for geotechnical engineering problems

Onyelowe

Ebid

Sujatha

et al. 2023

Heliyon

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Section: Classifying the Constitutive Relationsmentioning

confidence: 99%

Extensive overview of soil constitutive relations and applications for geotechnical engineering problems

Onyelowe

Ebid

Sujatha

et al. 2023

Heliyon

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“…Many scholars have proposed a variety of creep models, which are mainly divided into three types: empirical models, element models, and creep models based on fracture mechanics and damage mechanics. [19][20][21][22][23][24][25][26][27][28] Some creep constitutive models of rocks treated at high temperature have been proposed and developed. For example, Cirone and Vargas 29 introduced the free energy and dissipation function to establish a creep thermodynamic model that can predict the creep behavior of rock salt.…”

Section: Introductionmentioning

confidence: 99%

“…The establishment of rock creep model is important for the theory of rock rheological mechanics. Many scholars have proposed a variety of creep models, which are mainly divided into three types: empirical models, element models, and creep models based on fracture mechanics and damage mechanics 19–28 . Some creep constitutive models of rocks treated at high temperature have been proposed and developed.…”

Section: Introductionmentioning

confidence: 99%

Creep mechanical characteristics and nonlinear viscoelastic‐plastic creep model of sandstone after high temperature heat treatment

Pan

Berto

Zhou

2023

Fatigue Fract Eng Mat Struct

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This work studies the creep mechanical characteristics and nonlinear viscoelastic‐plastic creep model of sandstone treated at different temperatures. The peak strain, uniaxial compressive strength (UCS), and Young's modulus of sandstone treated at different temperatures are discussed as well as creep strain and long‐term strength. The conventional uniaxial compression curves and uniaxial creep curves of sandstone treated at different temperatures are compared. Moreover, a nonlinear generalized Kelvin model is developed to simulate the decay creep deformation; a time‐triggered nonlinear viscoplastic model is proposed to simulate the accelerated creep deformation. By combining the time‐triggered nonlinear viscoplastic model with the nonlinear generalized Kelvin model, plastic element, and viscous element, a nonlinear viscoelastic‐plastic creep model that can well reflect the entire creep process of sandstone treated at different temperatures is established. According to the results of model validation and parameter inversion, the new nonlinear creep model can be employed to predict the creep instability of rocks under high temperature environment.

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“…Scholars have proposed various creep models, mainly including empirical models, element models, and creep models based on damage fracture mechanics or fractional derivatives. [18][19][20][21][22][23][24][25] Some creep constitutive models of rocks under high temperature environments have been proposed. For example, Chen et al 26 In summary, although a large number of experiments and theories have explored the creep characteristics of rocks under different temperatures, there is still limited research on the creep failure mechanism of rocks in high-temperature environments, especially the study of creep constitutive models of high-temperature rocks due to the limitations of experimental equipment.…”

Section: Introductionmentioning

confidence: 99%

Creep mechanical properties and creep damage model of sandstone considering temperature effect based on acoustic emission

Pan,

Zhou,

Zou

et al. 2023

Fatigue Fract Eng Mat Struct

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This work studies the creep mechanical properties and creep damage model of high‐temperature heat treated sandstone. Acoustic emission (AE) technology is used to monitor the crack evolution of sandstone in uniaxial compression and creep experiments in real time. The influence of temperature on the mechanical properties of sandstone is analyzed through AE count, cumulative AE count, and AE absolute energy. The relationship between cumulative AE count and axial strain is discussed, and the cumulative AE count increases exponentially with increasing axial strain. Moreover, an appropriate damage evolution equation is established based on the cumulative AE count, and a nonlinear viscoelastic‐plastic model capable of describing the decay creep, steady‐stage creep, and accelerated creep stages of high‐temperature heat treated sandstone is constructed. Through the model validation and parameter inversion, the new creep damage model can be employed to study the creep instability of geotechnical engineering under high temperature environment.

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Visco-plastic response of deep tunnels based on a fractional damage creep constitutive model

Cited by 29 publications

References 31 publications

Extensive overview of soil constitutive relations and applications for geotechnical engineering problems

Extensive overview of soil constitutive relations and applications for geotechnical engineering problems

Creep mechanical characteristics and nonlinear viscoelastic‐plastic creep model of sandstone after high temperature heat treatment

Creep mechanical properties and creep damage model of sandstone considering temperature effect based on acoustic emission

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