Aspects of finite element implementation of critical state models

Sheng, Daichao; Sloan, Scott W.; Yu, Hai‐Sui

doi:10.1007/s004660000166

Cited by 212 publications

(104 citation statements)

References 11 publications

(29 reference statements)

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“…Hydrostatic pressure also greatly affects shear strength, and the strength envelopes were presented as open or closed parabolas (Qi and Ma 2007;Mortara 2008), and exponential or power functions (Hoek and Brown 1980;Yao et al 2015). Some researchers have also studied the shape function in the deviatoric plane under various complex stress states of geomaterials, and abundant results were obtained (Gudehus 1973;Argyris et al 1974;Podgorski 1985;Matsuoka et al 1999;Sheng et al 2000;Bigoni and Piccolroaz 2004;Mortara 2008). Zienkiewicz and Pande (1977) proposed a widely used nonlinear unified strength criterion.…”

Section: Introductionmentioning

confidence: 99%

A strength criterion for frozen sodium sulfate saline soil

2016

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Salt content has been proven to be an important influencing factor on the mechanical properties of frozen saline soils, whose strength criterion is different from that of unfrozen saline soils or frozen soils without salts. In this paper, a series of conventional triaxial tests are carried out for frozen saline soils with sodium sulfate at a temperature of -6°C. A strength criterion of the frozen saline soils, including the influence of salt content, is established by using the generalized nonlinear strength theory. Based on conventional triaxial test results, a modified hydrostatic pressure expression is proposed according to the critical strength function of the modified Cam clay model in the meridian plane. The influence of salt content on the shear strength of the frozen saline soils is investigated according to their freezing temperature curves as well as the formation of salt and ice crystals. The relationship between salt content and friction angle is analyzed. The proposed strength criterion of frozen saline soil is proved to be reliable by extrusion elongation triaxial tests. This criterion can reasonably reflect the major nonlinear strength characteristics of frozen saline soils, including the influences of change in salt content, pressure melting, and ice crushing.Key words: sodium sulfate, frozen saline soil, strength criterion, freezing temperature, deviatoric plane.Résumé : La teneur en sel est avérée être un facteur d'influence importante sur les propriétés mécaniques des sols salins congelés, dont son critère de résistance est différent de celle des sols salins dégelés ou des sols gelés sans sels. Dans cet article, une série d'essais triaxiaux classiques sont effectués pour les sols salins congelés avec du sulfate de sodium à la température de -6°C. Un critère de résistance de sols salins congelés, y compris l'influence de la teneur en sel, est établi en utilisant la théorie généralisée de la résistance non linéaire. Sur la base de résultats d'essais triaxiaux classiques, une expression de pression modifiée hydrostatique est proposée, conformément à la fonction de la résistance critique du modèle Cam clay modifié dans le plan méridien. L'influence de la teneur en sel sur la résistance au cisaillement des sols salins congelés est étudiée en fonction de leurs courbes de température de congélation, et aussi la formation de cristaux de glace et de sel. La relation entre la teneur en sel et l'angle de frottement est analysée. Le critère de la résistance proposé de sol salin congelé est prouvé fiable par des essais triaxiaux d'allongement par extrusion. Ce critère peut raisonnablement refléter les principales caractéristiques de résistance non linéaire des sols salins congelés, y compris les influences de l'évolution de la teneur en sel, de la fusion et du broyage de glace sous pression. [Traduit par la Rédaction] Mots-clés : sulfate de sodium, sols salins congelés, critère de résistance, température de congélation, plan déviatorique.

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Section: Introductionmentioning

confidence: 99%

A strength criterion for frozen sodium sulfate saline soil

2016

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“…This surface coincides with the Mohr-Coulomb hexagon at all vertices in the deviatoric plane, and the failure surface remains convex if α ≥ 0.6 (i.e. φ' ≤ 48.59° or M c ≤ 2) which is common for most clays (Sheng et al, 2000).…”

Section: Yield Surface and Plastic Potential In Deviatoric Planementioning

confidence: 60%

The application of a three-surface kinematic hardening model to repeated loading of thinly surfaced pavements

et al. 2005

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“…It is recognised that, for the case of cylindrical cavities with an anisotropic in situ stress state, they are a simplified version of the three-dimensional (3D) critical state variables. However, for the isotropic in situ stress state (which is the problem addressed by this paper), the possible error introduced by this simplification has been shown to be negligible by a rigorous numerical (finite-element) simulation (Sheng et al, 2000). This point was also considered and supported theoretically by Chen & Abousleiman (2012).…”

Section: Problem Definitionmentioning

confidence: 68%

Undrained cavity expansion analysis with a unified state parameter model for clay and sand

2017

Géotechnique

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This paper presents a new analytical solution for undrained expansion of spherical and cylindrical cavities in soils with a unified state parameter model for clay and sand (CASM). Large strain and effective stress solutions are derived for soils in the elastic, plastic and critical-state regions. The key advantage of using the state parameter model CASM is that it can model both clay and sand and is generally able to capture overall soil behaviour as observed in the laboratory. The newly developed solution provides the stress and strain fields during the expansion of a cavity from an initial to a final radius. Following the validation with the original Cam Clay solution, a simple parametric study is conducted to investigate the effects of key model parameters on stress distributions and cavity expansion curves. Applications to the analysis of pile installation and self-boring pressuremeter tests highlight some important implications in geotechnical practice.

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Aspects of finite element implementation of critical state models

Cited by 212 publications

References 11 publications

A strength criterion for frozen sodium sulfate saline soil

A strength criterion for frozen sodium sulfate saline soil

The application of a three-surface kinematic hardening model to repeated loading of thinly surfaced pavements

Undrained cavity expansion analysis with a unified state parameter model for clay and sand

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