Constitutive Relations for Partially Saturated Soils Containing Gas Inclusions

Pietruszczak, S.; Pande, G. N.

doi:10.1061/(asce)0733-9410(1996)122:1(50)

Cited by 100 publications

(50 citation statements)

References 16 publications

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“…The obtained relationship is same with Pietruszczak and Pande [12] if the surface tension force of air bubble ignored. This model is based on deviatoric hardening; it may not suitable for soil of volumetric hardening.…”

Section: Constitutive Modeling Of the Unsaturated Sandsupporting

confidence: 72%

Model Prediction of Static Liquefaction in Unsaturated Sands

Lü¹,

Huang²,

Qian³

2017

Springer Series in Geomechanics and Geoengineering

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The initiation of static liquefaction of unsaturated sand was studied by an extended Mohr-Coulomb elasto-plasticity hardening model. The second-order work was used to check the initiation point of static liquefaction under undrained shear. The results showed that the mechanical behavior of unsaturated sands will be changed by the compressibility of gas. The critical stress ratio at the liquefaction instability point decreases with the saturation degree.

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Section: Constitutive Modeling Of the Unsaturated Sandsupporting

confidence: 72%

Model Prediction of Static Liquefaction in Unsaturated Sands

Lü¹,

Huang²,

Qian³

2017

Springer Series in Geomechanics and Geoengineering

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“…In fact, by providing flexibility in selecting parameter O (that depends on the initial radius of the representative air bubble as discussed in Section 3) the overall effects of surface tension on the compressibility of the pore fluid are implicitly considered in the proposed formulation. Directly considering surface tension effects requires a number of assumptions that may not be realistic (see [7,11]). Moreover, as mentioned earlier in Section 3 there may be many factors affecting the initial size of the representative air bubble such as soil porosity, grain size distribution, grains shapes, types of minerals and their effects on the surface behaviour at the interface between the soil, water and air, soil fabric, initial degree of saturation as well as the amount of contaminants in pore water (e.g.…”

Section: Scope and Limitations Of The Studymentioning

confidence: 99%

“…Most of the proposed constitutive models such as the one presented by Pietruszczak and Pande [6,7] for partially saturated soils at high degrees of saturation are based on considering an equivalent bulk modulus for the mixture of gas and water [6][7][8][9][10]. Pietruszczak et al [8] used the proposed model by Pietruszczak and Pande [6,7] to perform numerical studies on partially saturated sand layers under seismic excitations. This model is based on the assumption that each void space within the soil medium has a single spherical air bubble [6].…”

Section: Introductionmentioning

confidence: 99%

Analysis of liquefaction susceptibility of nearly saturated sands

Jafari‐Mehrabadi

Abdi

Popescu

2006

Num Anal Meth Geomechanics

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SUMMARYA new constitutive formulation for simulating the behaviour of nearly saturated sands under seismic loads is presented. The formulation is based on combining the Henry's law for dissolution of gas in water, the ideal or perfect gas law and the law of conservation of mass. The effects of transient air dissolution in water on the compressibility of partially saturated soils are also taken into account. The model was calibrated based on numerical simulations of isotropically consolidated cyclic triaxial tests conducted on partially saturated samples of Toyoura sand. A multi-yield plasticity soil constitutive model implemented in the finite element code DYNAFLOW was used for these numerical simulations. It is shown that the formulation proposed here is able to reasonably predict the soil cyclic undrained behaviour at various degrees of saturation (95% and higher).

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“…In the last 40 years numerous endeavors have been carried out to examine their mechanical behavior (see e.g. [20], [29], [32], [38], [50]) and also the wave propagation in such materials (e.g. [5], [8], [10], [31], [34]).…”

Section: Glance On Three-component Porous Mediamentioning

confidence: 99%

“…There are also attempts, not yet fully ripe, to create transitions from the micro to the macro scale (e.g. [29]). A lot of experiments have been performed on the acoustical behavior of unsaturated materials, especially of sediments (e.g.…”

Section: Fig 21mentioning

confidence: 99%

Modelling of surface waves in poroelastic saturated materials by means of a two component continuum

Albers

Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks

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These lecture notes are devoted to an overview of the modelling and the numerical analysis of surface waves in two-component saturated poroelastic media. This is an extension to the part of this book by K. Wilmanski which is primarily concerned with the classical surface waves in single component media. We use the "simple mixture model" which is a simplification of the classical Biot's model for poroelastic media. Two interfaces are considered here: firstly the interface between a porous half space and a vacuum and secondly the interface between a porous halfspace and a fluid halfspace. For both problems we show how a solution can be constructed and a numerical solution of the dispersion relation can be found. We discuss the results for phase and group velocities and attenuations, and compare some of them to the high and low frequency approximations (ω → ∞, ω → 0, respectively).For the interface porous medium/vacuum there exist in the whole range of frequencies two surface waves -a leaky Rayleigh wave and a true Stoneley wave. For the interface porous medium/fluid one more surface wave appears -a leaky Stoneley wave. For this boundary velocities and attenuations of the waves are shown in dependence on the surface permeability. The true Stoneley wave exists only in a limited range of this parameter. At the end we have a look on some results of other authors and a glance on a logical continuation of this work, namely the description of the structure and the acoustic behavior of partially saturated porous media.

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Constitutive Relations for Partially Saturated Soils Containing Gas Inclusions

Cited by 100 publications

References 16 publications

Model Prediction of Static Liquefaction in Unsaturated Sands

Model Prediction of Static Liquefaction in Unsaturated Sands

Analysis of liquefaction susceptibility of nearly saturated sands

Modelling of surface waves in poroelastic saturated materials by means of a two component continuum

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