2020
DOI: 10.1016/j.coldregions.2019.102942
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Fractional derivative-based creep constitutive model of deep artificial frozen soil

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Cited by 28 publications
(17 citation statements)
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“…According to the elastic theory of porous materials, He et al 13 developed a statistical constitutive damage model to investigate the rock damage characteristics under water pressure. Li et al 14 carried out Laplace transform on the basis of the Nishihara model, established the fractional derivative creep constitutive model of artificial frozen soil, and deduced the flexible parameter matrix of the model by Newton iteration method. After a large number of creep tests, Wei et al 15 analyzed the creep characteristics of columnar jointed basalt rock mass.…”
Section: Introductionmentioning
confidence: 99%
“…According to the elastic theory of porous materials, He et al 13 developed a statistical constitutive damage model to investigate the rock damage characteristics under water pressure. Li et al 14 carried out Laplace transform on the basis of the Nishihara model, established the fractional derivative creep constitutive model of artificial frozen soil, and deduced the flexible parameter matrix of the model by Newton iteration method. After a large number of creep tests, Wei et al 15 analyzed the creep characteristics of columnar jointed basalt rock mass.…”
Section: Introductionmentioning
confidence: 99%
“…The depth of the permafrost in the Arctic can exceed one kilometer [12], but the deep permafrost is difficult to be drilled and sampled [13], which restricts the process of related scientific investigation. To solve these problems, the mechanics experiments of deep frozen soil [14][15][16] and frozen rock [17][18][19] have been widely studied, whereas little attention has been paid to the coupling problems of icesoil and ice-rock and the mechanical characteristics of the ice in deep environment are the basis of the above problems. Compared with the shallow layer conditions, the formation pressure of deep underground surges dramatically; coupled with the ground restrictions imposed on frost heave, the freezing pressure of deep underground water may be above 10 MPa.…”
Section: Introductionmentioning
confidence: 99%
“…Li et al proposed a fractional derivative constitutive model of deep artificial frozen soil which was established based on the Nishihara model. is fractional derivative constitutive model was verified to describe the nondecaying creep deformation characteristics of deep artificial frozen soil under high confining pressures [23]. Yao et al proposed a three-dimensional model for clays adopting a unified hardening parameter independent of stress paths, and it can be used to well simulate stress-strain relationships, shear dilatancy, strain-hardening and softening, and stress path dependence behaviour of overconsolidated clays [24].…”
Section: Introductionmentioning
confidence: 99%