Broken line random failure mechanism method in foundation bearing capacity assessment for spatially variable soil

Chwała, Marcin; Zhang, Wengang

doi:10.1016/j.compgeo.2022.104903

Cited by 4 publications

(10 citation statements)

References 32 publications

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“…The idea was first proposed by Chwała (2021) and applied to slope stability problems. Recently, Chwała and Zhang (2022) extended this latter approach to shallow foundation analysis. The geometry of the broken line is shown in Fig.…”

Section: Methods Overviewmentioning

confidence: 99%

“…Finally, the bearing capacity is the sum of the total dissipation and gravity forces. The detailed procedure for determining bearing capacity can be found in the study by Chwała and Zhang (2022).…”

Section: Application To Shallow Foundationsmentioning

confidence: 99%

“…The method uses the kinematical failure mechanism approach together with explicitly represented random fields. The idea was first proposed by Chwała (2021) and very recently its adaptation to bearing capacity was proposed by Chwała and Zhang (2022). In this work, the performance of the proposed method is compared with that of random finite limit analysis (RFLA) by using OptumG2 software.…”

Section: Introductionmentioning

confidence: 99%

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Multi-Block Failure Mechanism Approach with Broken Lines in Bearing Capacity Estimation of Spatially Variable Soil

Chwała¹,

Zhang²

2022

8th International Symposium for Geotechnical Safety &Amp; Risk (ISGSR 2022)

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This study presents the novel use of kinematical failure mechanisms to analyze the shallow foundation bearing capacity for spatially variable soil. The approach preserves the upper bound limit theorem. For this reason, the straight dissipation lines resulting from the multi-block failure mechanism are no longer straight lines but become broken lines. The broken lines are adjusted to the actual value of the friction angle, which is considered spatially variable. In the study, the application of the idea to bearing capacity problems is presented and discussed. The motivation for the study is to ensure numerical efficiency and the ability of failure geometry to adapt to weaker zones in spatially variable soil. The numerical efficiency comes from the similarity of the proposed approach to Vanmarcke's spatial averaging applied to dissipation regions resulting from the failure mechanism. However, the ability of the failure mechanism to adapt to weaker zones is a result of the broken lines method used together with an optimization procedure based on a subset simulation-based approach. In numerical analysis, the eleven-block failure mechanism is assumed as a reasonable compromise between numerical efficiency and accuracy. In addition, double-sided and onesided failure mechanisms are analyzed and results obtained for both cases are compared and discussed in the study. A comparison with random finite limit analysis (RFLA) is provided; a very good agreement in the results for both methods is observed. The numerical implementation of the proposed algorithm was used to analyze a variety of cases with different values of the horizontal scale of fluctuation. Two general cases of isotropic and anisotropic correlation structures are analyzed. The proposed method is very convenient for determining the volume of the failure mechanism, for this reason, the volume of the corresponding failure mechanism is also discussed together with the corresponding bearing capacities. The proposed method is promising for applications in shallow foundation reliability analyses.

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Section: Methods Overviewmentioning

confidence: 99%

Section: Application To Shallow Foundationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multi-Block Failure Mechanism Approach with Broken Lines in Bearing Capacity Estimation of Spatially Variable Soil

Chwała¹,

Zhang²

2022

8th International Symposium for Geotechnical Safety &Amp; Risk (ISGSR 2022)

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“…The point M (x, y, θ, S) on the slip line is assessed using formulas (7a)-(7d), e.g., formulas ( 8) and ( 9) can be obtained by formulas (7a) and (7c), formulas (10) and ( 11) can be obtained by formulas (7b) and (7d):…”

Section: Approachmentioning

confidence: 99%

“…At present, the first issue is solved by hypothesis and optimization search. For example, LEM assumes a circular failure mechanism; the symmetrical and nonsymmetrical failure mechanisms are considered in the UB of the limit analysis 8 ; the UB-FELA uses discontinuous quadratic displacement fields and second-order cone programming to obtain the clear failure mechanism of the computational domain 9 ; the broken line random failure mechanism was used in UB of the limit analysis 10 ; the discontinuity layout optimization (DLO) uses LB and UB as the limit state plasticity failure discretization scheme 11 .…”

Section: Introductionmentioning

confidence: 99%

New failure mechanism for evaluating seismic and static undrained bearing capacity adjacent to 2D slope

Fang

2023

Sci Rep

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The seismic or static undrained slip line field theory and Cauchy, Riemann, mixed boundary value problems for undrained soil slopes are derived. A new failure mechanism is proposed to determine the undrained bearing capacity adjacent to slopes. The effects of geometric or strength parameters and seismic forces on static and seismic undrained bearing capacity are investigated. The convergence of the proposed method is proved. The static and seismic undrained bearing capacities predicted by the proposed method are close to those of the currently existing methods. The proposed method does not need to assume or search the failure modes, and a new limit state evaluation index is given.

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Effect of Subbase Stabilization on the Bearing Capacity of Footing Resting on Clayey Soil

Alzabeebee,

Ismael,

Chavda

et al. 2024

Transp. Infrastruct. Geotech.

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Broken line random failure mechanism method in foundation bearing capacity assessment for spatially variable soil

Cited by 4 publications

References 32 publications

Multi-Block Failure Mechanism Approach with Broken Lines in Bearing Capacity Estimation of Spatially Variable Soil

Multi-Block Failure Mechanism Approach with Broken Lines in Bearing Capacity Estimation of Spatially Variable Soil

New failure mechanism for evaluating seismic and static undrained bearing capacity adjacent to 2D slope

Effect of Subbase Stabilization on the Bearing Capacity of Footing Resting on Clayey Soil

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