A one-dimensional viscoelastic and viscoplastic constitutive approach to modeling the delayed behavior of clay and organic soils

Madaschi, Aldo; Gajo, Alessandro

doi:10.1007/s11440-016-0518-9

Cited by 10 publications

(8 citation statements)

References 43 publications

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“…Due to the nonlinear creep properties of soil, the total creep strain under static deviatoric stress includes instantaneous strain and creep strain 20 . where and are the instantaneous strain and creep strain, respectively.…”

Section: Deformation Theory Of Subgrade Soil Under Intermittent Cycli...mentioning

confidence: 99%

Deformation constitutive model of subgrade soil under intermittent cyclic loading

Zhang

Chen

Xing

et al. 2023

Sci Rep

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During the actual operation of subways, high-speed railway, and other infrastructure, subgrade soil will be subjected to periodic vibration and intermittent loading, i.e., intermittent cyclic load. To study the deformation characteristics of subgrade soil under intermittent cyclic loading, the Newtonian dashpot in the generalized Kelvin model is replaced by the fractional Abel dashpot, a fractional generalized Kelvin model is established. Then, a nonlinear viscoplastic body model considering damage is proposed, which is connected in series with the improved fractional generalized Kelvin model, and the deformation constitutive model of soil under intermittent cyclic loading is obtained. Finally, the effectiveness and applicability of the model are analyzed, and the model is compared with other constitutive models. The results show that the constitutive model established in the paper can reflect the combined effect of confining pressure, frequency, dynamic stress amplitude and other factors on the cumulative plastic strain of soil, and can well characterize the development law of three types of cumulative plastic strain curves of soil: stable, critical, and failure. The fitting parameters $$\alpha$$ α and $$\eta$$ η tend to decay and rise, respectively, with the increase in loading stage N, which reflects the rationality and accuracy of the model.

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Section: Deformation Theory Of Subgrade Soil Under Intermittent Cycli...mentioning

confidence: 99%

Deformation constitutive model of subgrade soil under intermittent cyclic loading

Zhang

Chen

Xing

et al. 2023

Sci Rep

View full text Add to dashboard Cite

show abstract

“…Classical Perzyna's approach [41] is used for modelling the visco-plastic response. Let us recall here that in Perzyna's approach [41], two different yield surfaces can be identified: the static and the dynamic yield surface (F s ¼ 0 and [32,35,36,41]. The former refers to a vanishingly small plastic strain rate ( _ p !…”

Section: The Yield Surfacementioning

confidence: 99%

A zero-thickness interface element incorporating hydro-chemo-mechanical coupling and rate-dependency

Ghalamzan Esfahani,

Gajo

2023

Acta Geotech.

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The interfaces play a key role in many engineering problems involving geologic materials. In particular, slope stability analyses of ancient landslides (that were subjected to large displacements along a slip surface) need the formulation of ad hoc interface elements. The mechanical response of slip surfaces in clays is affected by hydro-chemo-mechanical interactions and by rate effects and this paper presents the formulation of an innovative zero-thickness interface element for dealing with these kinds of effects. The proposed interface element is an extension of the modified zero-thickness element proposed by Goodman et al. (J Soil Mech Found Div ASCE 94:637–659, 1968). In addition to solid displacement, we consider the flow of water and the diffusion of a single salt in the fluid phase. Terzaghi’s effective stress principle is used leading to the usual hydro-mechanical coupling within the interface element. The fluxes of water and salt are considered in the longitudinal and in transversal directions of the interface element. For the constitutive relation, we propose an innovative nonlinear elastic energy that improves the numerical convergence in the occurrence of interface opening. The Mohr–Coulomb yield surface is used for the plastic regime in which we considered the effects of strain rate and salt concentration on the shearing behaviour of the interface element. The proposed element has been implemented in a user-defined subroutine of ABAQUS. The typical effects of salt concentration and displacement rate and the typical model responses for the longitudinal and transversal fluxes of salt and pore fluid are discussed in detail. Finally, the proposed interface element is validated through the comparison with experimental results.

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“…Due to the nonlinear creep property of clay, the total strain 𝜀 (𝑡) under constant static load consists of both instantaneous and creep strain [35], so that. Obviously, cyclic stress shown in Figure 1 can be separated into static load σ s (t) and alternating load σ a (t).…”

Section: Deformation Characteristics Of Clay Under Long-term Static Loadmentioning

confidence: 99%

“…Due to the nonlinear creep property of clay, the total strain 𝜀 (𝑡) under consta static load consists of both instantaneous and creep strain [35], so that. The static stress σ s (t) and the alternating stress σ a (t) in accordance with the above analysis can be expressed as Due to the nonlinear creep property of clay, the total strain ε s (t) under constant static load consists of both instantaneous and creep strain [35], so that.…”

Section: Deformation Characteristics Of Clay Under Long-term Static Loadmentioning

confidence: 99%

A Variable-Order Dynamic Constitutive Model for Clay Based on the Fractional Calculus

Zhang

Chen

et al. 2022

Applied Sciences

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To accurately describe the deformation characteristics of clay under long-term cyclic load, based on fractional calculus theory, elastoplastic theory and the basic element model, a variable-order fractional dynamic model designed to predict accumulative strain of clay was exhibited. Firstly, the cyclic load was separated into static and alternating load in accordance with cyclic load characteristics, and the strain of clay under static and alternating load was analyzed. Then, on the basis of the variable-order Abel dashpot model, rheological theory and elastoplastic theory, the expressions of the rheological constitutive model and strain response were both obtained. Finally, in combination with the undrained dynamic triaxial testing of Zhan Jiang clay and Tian Jin soft clay, a series of analyses was carried out on the effectiveness and parameter sensitivity of the model when subjected to long-term cyclic loading. By comparing the dynamic constitutive model with pre-existing models, the superiority of the dynamic constitutive model is revealed. The results show that the dynamic constitutive model can characterize properly the deformation characteristics of clay under the action of long-term cyclic loading, especially in its accelerating stage. The parameter sensitivity of the model exhibits a growing trend with the increment of loading duration.

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A one-dimensional viscoelastic and viscoplastic constitutive approach to modeling the delayed behavior of clay and organic soils

Cited by 10 publications

References 43 publications

Deformation constitutive model of subgrade soil under intermittent cyclic loading

Deformation constitutive model of subgrade soil under intermittent cyclic loading

A zero-thickness interface element incorporating hydro-chemo-mechanical coupling and rate-dependency

A Variable-Order Dynamic Constitutive Model for Clay Based on the Fractional Calculus

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