2019
DOI: 10.1016/j.compgeo.2019.103200
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Non-orthogonal elastoplastic constitutive model with the critical state for clay

Abstract: A non-orthogonal elastoplastic model for clay is proposed by combining the non-orthogonal plastic flow rule with the critical state concept and presented from the perspective of the magnitude and direction of the plastic strain increment. The magnitude is obtained based on the improved elliptical yield function and the plastic volumetric strain dependent hardening parameter. The direction is determined by applying the non-orthogonal plastic flow rule with the Riemann-Liouville fractional derivative to the yiel… Show more

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Cited by 34 publications
(13 citation statements)
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“…There are seven independent material parameters in the proposed model, i.e., λ, κ, ν, φ, φf, β determine β-value based on the method proposed by Lu et al [19,40] . Parameter ξ is called the spacing ratio [21,30] . It can also be used to describe the change of the void ratio ΔΠ of sand between the initial state and the phase transition state under triaxial compression conditions under p=const.…”
Section: Parameter Calibrationmentioning
confidence: 99%
See 3 more Smart Citations
“…There are seven independent material parameters in the proposed model, i.e., λ, κ, ν, φ, φf, β determine β-value based on the method proposed by Lu et al [19,40] . Parameter ξ is called the spacing ratio [21,30] . It can also be used to describe the change of the void ratio ΔΠ of sand between the initial state and the phase transition state under triaxial compression conditions under p=const.…”
Section: Parameter Calibrationmentioning
confidence: 99%
“…It can also be used to describe the change of the void ratio ΔΠ of sand between the initial state and the phase transition state under triaxial compression conditions under p=const. The change of the void ratio has been derived and expressed as ΔΠ=(λ−κ)•ln(px/px0) [21] , where px0 and px are the equivalent mean principal stresses for the initial state and the phase transition state, respectively.…”
Section: Parameter Calibrationmentioning
confidence: 99%
See 2 more Smart Citations
“…Qu et al developed a fractional plastic flow model to characterize volumetric compression/dilation transition state [21]. And based on fractional theory, Lu et al introduced 3-D fractional plastic flow rule into characteristic stress space and presented a new fractional elastoplastic model for soil [22,23]. Sun et al applied fractional-order dilatant equation to capture state-dependent stress-dilatant behavior of fine sand [24].…”
Section: Introductionmentioning
confidence: 99%