Solid–liquid–air coupling in multiphase porous media

Laloui, Lyesse; Klubertanz, G.; Vulliet, L.

doi:10.1002/nag.269

Cited by 113 publications

(65 citation statements)

References 21 publications

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“…Following Laloui et al [36], it is shown that Bishop's generalized effective stress could be thermodynamically consistent if: (i) the soil comprises densitypreserving constituents, (ii) the water is a perfect fluid and (iii) no shear stress is introduced for the fluids. Other thermodynamic analyses of multiphase deformation are exposed in [37,38].…”

Section: Justifications For Effective Stress Type Frameworkmentioning

confidence: 99%

Effective stress concept in unsaturated soils: Clarification and validation of a unified framework

Nuth¹,

Laloui²

2007

Num Anal Meth Geomechanics

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421

243

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SUMMARYThe effective stress principle, conventionally applied in saturated soils, is reviewed for constitutive modelling purposes. The assumptions for the applicability of Terzaghi's single effective stress are recalled and its advantages are inventoried. The possible stress frameworks applicable to unsaturated soil modelling are reassessed in a comparative manner, specifically the Bishop's single effective stress, the independent stress variables approach and the generalized stress framework. The latter considerations lead to the definition of a unified stress context, suitable for modelling soils under different saturation states. In order to qualify the implications brought by the proposed stress framework, several experimental data sets are re-examined in the light of the generalized effective stress. The critical state lines (CSLs) at different saturation states tend to converge remarkably towards a unique saturated line in the deviatoric stress versus mean effective stress plane. The effective stress interpretation is also applied to isotropic paths and compared with conventional net stress conception. The accent is finally laid on a second key feature for constitutive frameworks based on a unified stress, namely the sufficiency of a unique mechanical yield surface besides the unique CSL.

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Section: Justifications For Effective Stress Type Frameworkmentioning

confidence: 99%

Effective stress concept in unsaturated soils: Clarification and validation of a unified framework

Nuth¹,

Laloui²

2007

Num Anal Meth Geomechanics

Self Cite

421

243

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“…In classical soil mechanics problems, the level of heterogeneity is usually limited to the differences among the characteristics of the soil layers (while at smaller scales, such as that of the pores, heterogeneity can be defined by the means of smaller structural units, such as different pores, fissures or aggregates). Inside a specific soil layer, at a smaller scale, the soil is usually assumed to be homogeneous as soon as enough grains or aggregates are considered, the pore-scale heterogeneities being smoothed out (Laloui et al, 2003). This implies the consideration of a representative elementary volume (REV) of a given material.…”

Section: Structured Soilmentioning

confidence: 99%

Suction Induced Effects on the Fabric of a Structured Soil

et al. 2006

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Abstract. This paper presents the mathematical modelling of the modification of the pore space geometry of a structured soil subjected to suction increase. Structured soil concepts are first introduced considering different fabric units, such as aggregates and fissures. The numerical modelling of the structural evolution is based on experimental test results in which the evolution of the structure of the samples subjected to different suctions is determined using the mercury intrusion porosimetry technique. From this information, the macro and micropore volume evolutions are determined. The results show that drying produces a reduction in the soil total porosity which mainly corresponds to a reduction of the macropore volume. Associated with this phenomenon, an increase in micropore volume is also observed. The proposed model divides pore size distribution into three pore classes (micropores, macropores and non-affected areas). Using the concept of a suction-influenced domain, the proposed model is able to reproduce the main observed fabric evolution between the saturated and dry states.Key words: structured soil, fabric, suction, pore size distribution. List of notation for mathematical equations RThe entrance pore radius T s Surface tension of the liquid α Contact angle of fluid interface to solidThe drained pore radius at that value of suction ψ Total moving volume fraction from macropores to micropores C 2 , C 3 Proportionality coefficients

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“…Ignoring the effect of temperature variation, an isothermal energy balance equation for unsaturated soils can be derived from the energy balance equation (12). According to the aforementioned second assumption, the transfer of mass, momentum and energy among the three phases can be neglected, that is,ˆ ,p andê vanish.…”

Section: Relationships Between Free Energy and Workmentioning

confidence: 99%

“…The porous media theory applied in soil mechanics has been explained by its historical progression, and its current state has been thoroughly described by de Boer [1]. Based on the theory of porous media and thermodynamics, the theoretical models for the behavior of unsaturated soils have been investigated intensively by a few researchers, such as Bowen [2,3], Lewis and Schrefler [4], Schrefler [5], Hassanizadeh and Gray [6,7], Gray and Hassanizadeh [8], Eringen [9], Hutter et al [10], Schrefler [11], Laloui et al [12], Borja [13], Sheng et al [14], Wei and Dewoolkar [15], Gray and Schrefler [16], Li [17,18], Gray et al [19], etc.…”

Section: Introductionmentioning

confidence: 99%

Work and energy equations and the principle of generalized effective stress for unsaturated soils

Zhao

Liu

Gao

2009

Num Anal Meth Geomechanics

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SUMMARYThe effective stress principle has been efficiently applied to saturated soils in the soil mechanics and geotechnical engineering practice; however, its applicability to unsaturated soils is still under debate. The appropriate selection of stress state variables is essential for the construction of constitutive models for unsaturated soils. Owing to the complexity of unsaturated soils, it is difficult to determine the deformation and strength behaviors of unsaturated soils uniquely with the previous single-effectivestress variable theory and two-effective-stress-variable theory in all the situations. In this paper, based on the porous media theory, the specific expression of work is proposed, and the effective stress of unsaturated soils conjugated with the displacement of the soil skeleton is further derived. In the derived work and energy balance equations, the energy dissipation in unsaturated soils is taken into account. According to the derived work and energy balance equations, all of the three generalized stresses and the conjugated strains have effects on the deformation of unsaturated soils. For considering these effects, a principle of generalized effective stress to describe the behaviors of unsaturated soils is proposed. The proposed principle of generalized effective stress may reduce to the previous effective stress theory of single-stress variable or the two-stress variables under certain conditions. This principle provides a helpful reference for the development of constitutive models for unsaturated soils.

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Solid–liquid–air coupling in multiphase porous media

Cited by 113 publications

References 21 publications

Effective stress concept in unsaturated soils: Clarification and validation of a unified framework

Effective stress concept in unsaturated soils: Clarification and validation of a unified framework

Suction Induced Effects on the Fabric of a Structured Soil

Work and energy equations and the principle of generalized effective stress for unsaturated soils

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