Application of Cylindrical Cavity Expansion in MCC Model to a Sensitive Clay under Ko Consolidation

Silvestri, Vincenzo; Tabib, Claudette

doi:10.1061/(asce)mt.1943-5533.0002328

Cited by 14 publications

(5 citation statements)

References 16 publications

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“…The associated flow rule adopted in the OCC model, along with the zero total volumetric strain constraint imposed by the undrained condition of cavity expansion, leads Equation (11) to…”

Section: Original Cam Clay Modelmentioning

confidence: 99%

“…In the last 40 years, the development of analytic technique for the analysis of cavity expansion in soils, a fundamental problem in theoretical geomechanics with many practical applications such as pressuremeter/cone penetration test interpretation and pile-driving modeling, has reached a maturity state in terms of the novelty of the solution procedure/strategy involved (e.g., [1][2][3][4][5][6][7][8][9][10][11][12] and the sophistication level of the constitutive model used. [13][14][15][16][17][18][19] The approaches commonly adopted for the solutions of cavity expansion problems, especially in the critical state soils, appear to be the similarity method (and its variants) proposed by Collins and his co-workers 4,20,21 and the rigorous Lagrangian-based solution procedure developed by Chen 22 and Chen & Abousleiman.…”

Section: Introductionmentioning

confidence: 99%

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Revisiting undrained cavity expansion problem in critical state soils: A simple graph‐based approach

Wang

Chen

2022

Num Anal Meth Geomechanics

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This paper presents analytical solutions for the finite expansion problems of a spherical or cylindrical cavity, using a simple yet novel graphical approach recently proposed by Chen & Abousleiman in 2022, in both original Cam Clay (OCC) and modified Cam Clay (MCC) soils under undrained conditions. It is shown that, for a soil mass subjected to isotropic in situ stress conditions, the stress paths in the deviatoric plane for the spherical and cylindrical cavity expansions turn out to be two straight lines, which correspond to Lode angles equal to 11𝜋 6 and 5𝜋 3, respectively. The desired limiting cavity pressure therefore can be directly and accurately evaluated through simple numerical integration with respect to the mean effective stress, while the relationship between the internal cavity pressure and the cavity radius, the cavity expansion curve, may be equally conveniently determined. Numerical results obtained from the current graphical method, for a range of the values of over consolidation ratio considered, compare extremely well with those from the conventional semianalytical formulations of the undrained cavity problem that involve solving a system of coupled governing differential equations. It is interesting to note that the representative and approximate solution developed by Collins & Yu in 1996 indeed is a correct one for the spherical cavity expansion problem, and, with minor modifications, will be applicable for the accurate calculation of the responses of the cylindrical cavity as well.

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“…The associated flow rule adopted in the OCC model, along with the zero total volumetric strain constraint imposed by the undrained condition of cavity expansion, leads Equation (11) to…”

Section: Original Cam Clay Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Revisiting undrained cavity expansion problem in critical state soils: A simple graph‐based approach

Wang

Chen

2022

Num Anal Meth Geomechanics

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“…[24]) and interpretation of pressuremeter tests in sensitive soils (e.g. [17,30,31]) using a post-failure strain softening had been presented, the authors' solutions are the first ones for anisotropic, structure (inter-particle bonding) and destructuration behaviour of plastic nature of clays. It is worth noting that neglecting soil structure leads to inaccurate predictions of clay responses under external loading (e.g.…”

Section: S-clay1s [16]mentioning

confidence: 99%

“…By substituting Eq. (34, 36) into (26,27,31), applying plane strain conditions, i.e. de z ¼ 0, and following the approach used by Chen and Abousleiman [8], the change of specific volume can be obtained from Eqs.…”

Section: Hardening Rule Of the Intrinsic Yield Surfacementioning

confidence: 99%

Theoretical solution for drained cylindrical cavity expansion in clays with fabric anisotropy and structure

Castro

Sivasithamparam

2021

Acta Geotech.

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This paper presents a novel, exact, semi-analytical solution for the quasi-static drained expansion of a cylindrical cavity in soft soils with fabric anisotropy and structure. The assumed constitutive model is the S-CLAY1S model, which is a Cam clay-type model that considers fabric anisotropy that evolves with plastic strains, structure and gradual degradation of bonding (destructuration) due to plastic straining. The solution involves the numerical integration of a system of eight first-order ordinary differential equations, three of them corresponding to the effective stresses in cylindrical coordinates, other three corresponding to the components of the fabric tensor and one corresponding to the amount of bonding and another corresponding to the specific volume. The solution is validated against finite element analyses. When destructuration is considered, the solution provides slightly lower values of the effective radial and mean stresses near the cavity wall. Besides, the specific volume is further reduced due to loss of bonding. Parametric analyses and discussion of the influence of soil overconsolidation, expansion of the cavity and initial amount of bonding are presented.

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“…Jiang & Sun [24] further developed a similar solution by employing a bounding surface plasticity model and the state-dependent dilatancy for crushable granular materials. As demonstrated by Silvestri and Tabib [47], neglecting the destructuration might produce erroneous interpretations of pressuremeter tests in sensitive clays, which implied the need of cavity expansion solution for natural clays. An undrained cylindrical cavity expansion in structured Camclay model [32] was reported by Nanda and Patra [39], without considering the effects of anisotropy.…”

mentioning

confidence: 99%

Undrained cavity expansion in anisotropic soils with isotropic and frictional destructuration

Chen

2021

Acta Geotech.

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This paper proposes a semi-analytical solution of undrained cylindrical cavity expansion in anisotropic soils with both isotropic and frictional destructuration. The rigorous derivation based on the general form of the SANICLAY model with destructuration is provided following a standardized solving procedure, and the features of anisotropy and structuration are then invoked in the cavity expansion solution by adopting the non-associated hierarchical model. Cavity expansion tests in both structured and unstructured clays with various overconsolidation ratio are conducted to investigate the evolutions of effective stresses, excess pore pressure, anisotropic parameters and structuration factors during cylindrical expansion. The results show that the effective stresses at the cavity wall are lower after expansion and the cavity excess pore pressure is oppositely higher in structured clays with slightly smaller plastic regions. The evolutions of anisotropy for structured clays appear to follow similar patterns to unstructured cases, whereas the degree of anisotropy is further developed with gradual loss of inter-particle bonds. Finally, the proposed solution is applied to predict the limit pressure of pressuremeter tests in Bothkennar clay, showing its ability for interpretation of in situ testing data in natural structured clays.

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Application of Cylindrical Cavity Expansion in MCC Model to a Sensitive Clay under Ko Consolidation

Cited by 14 publications

References 16 publications

Revisiting undrained cavity expansion problem in critical state soils: A simple graph‐based approach

Revisiting undrained cavity expansion problem in critical state soils: A simple graph‐based approach

Theoretical solution for drained cylindrical cavity expansion in clays with fabric anisotropy and structure

Undrained cavity expansion in anisotropic soils with isotropic and frictional destructuration

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