Thermodynamics-based constitutive framework for unsaturated soils. 1: Theory

Li, X. S.

doi:10.1680/geot.2007.57.5.411

Cited by 67 publications

(62 citation statements)

References 20 publications

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“…Previous investigations [29,30,32,33] show than the relationship between capillary pressure and saturation degree in most porous media is hysteretic. However, for simplicity, this hysteretic relationship is not considered and the Kelvin's law is adopted in the present work:…”

Section: General Frameworkmentioning

confidence: 96%

“…The symmetric second-rank tensor a(p cp ) defines the anisotropic Biot coefficients of the partially saturated material, which are dependent on capillary pressure p cp . It is noted that the skeleton deformation has a strong effect on hydraulic behavior according to previous investigations [29][30][31]. However, for simplicity, we only consider influence of capillary pressure on mechanical behavior of partially saturated material in this paper.…”

Section: General Frameworkmentioning

confidence: 97%

“…However, for simplicity, we only consider influence of capillary pressure on mechanical behavior of partially saturated material in this paper. Hydric responses (variations of fluid pressures with mass change and skeleton deformation) are not detailed here (see [29][30][31]). …”

Section: General Frameworkmentioning

confidence: 99%

“…The function a r p ðc r p ; p cp Þ defines the plastic hardening law in the rth family of partially saturated microcracks and is then written as a function of the generalized plastic shear strain c r p and capillary pressure p cp . Some previous researches [15,29,30,32,33] have been carried out to study the effect of capillary pressure on plastic behavior. The specific form of the relationship between the plastic hardening and the capillary pressure must be determined from experimental data, for example, from suction-controlled triaxial compression tests.…”

Section: Plastic Modeling For Inherently Anisotropic Materials Under mentioning

confidence: 99%

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Modeling of inherent anisotropic behavior of partially saturated clayey rocks

Zhou

Zhang

et al. 2013

Computers and Geotechnics

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a b s t r a c tClayey rocks are frequently chosen as a geological barrier material for underground repositories. The inherent anisotropic mechanical behavior and the evolution of mechanical behavior with water content are two crucial material properties for the safety analysis of these structures. The present paper focuses on numerical modeling of the inherent anisotropy and the effect of water content, as well as the interactions of these properties in partially saturated clayey rocks with preferably oriented bedding planes. A discrete thermodynamic approach is adopted for describing the inherent anisotropic mechanical behavior, and the anisotropy of the elastic parameters, plastic evolution and damage evolution are considered. Capillary pressure is introduced to describe the effect of the water content with the help of the effective stress concept, and a procedure for the identification of the model parameters is presented. Finally, the proposed model is applied to a study of triaxial compression tests of argillite with different orientations of the bedding planes and variable water content. In summary, the main features of the studied material are well reproduced by the model.

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Section: General Frameworkmentioning

confidence: 96%

Section: General Frameworkmentioning

confidence: 97%

Section: General Frameworkmentioning

confidence: 99%

Section: Plastic Modeling For Inherently Anisotropic Materials Under mentioning

confidence: 99%

See 2 more Smart Citations

Modeling of inherent anisotropic behavior of partially saturated clayey rocks

Zhou

Zhang

et al. 2013

Computers and Geotechnics

View full text Add to dashboard Cite

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“…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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Dynamics of unsaturated poroelastic solids at finite strain

Uzuoka

Borja

2011

Num Anal Meth Geomechanics

103

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SUMMARYWe derive the governing equations for the dynamic response of unsaturated poroelastic solids at finite strain. We obtain simplified governing equations from the complete coupled formulation by neglecting the material time derivative of the relative velocities and the advection terms of the pore fluids relative to the solid skeleton, leading to a so-called u s − p w − p a formulation. We impose the weak forms of the momentum and mass balance equations at the current configuration and implement the framework numerically using a mixed finite element formulation. We verify the proposed method through comparison with analytical solutions and experiments of quasi-static processes. We use a neo-Hookean hyperelastic constitutive model for the solid matrix and demonstrate, through numerical examples, the impact of large deformation on the dynamic response of unsaturated poroelastic solids under a variety of loading conditions.

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Thermodynamics-based constitutive framework for unsaturated soils. 1: Theory

Cited by 67 publications

References 20 publications

Modeling of inherent anisotropic behavior of partially saturated clayey rocks

Modeling of inherent anisotropic behavior of partially saturated clayey rocks

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

Dynamics of unsaturated poroelastic solids at finite strain

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