Optimal placement of two soil soundings for rectangular footings

Chwała, Marcin

doi:10.1016/j.jrmge.2021.01.007

Cited by 10 publications

(2 citation statements)

References 29 publications

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“…The results provided by the algorithm, which use the constant covariance matrix concept, are very close to those obtained by the iterative procedure. This is very promising for further application of the algorithm 'C' in solving practical problems, e.g., optimal placement of soil soundings Chwała, 2021). It is also the most important result of the study that opens up the possibility of using the constant covariance matrix.…”

Section: Conclusion and Final Remarksmentioning

confidence: 93%

“…As a numerical example, the proposed algorithm is used to analyse the threedimensional bearing capacity of a shallow foundation under undrained conditions and the bearing capacity of two-layered soils. The comparison of the iterative approach with the constant matrix approach is crucial for further practical applications of the simplified algorithm for three-dimensional issues like soil sounding location optimization 2021). This comparison is important due to the enormous reduction in computation time.…”

Section: Introductionmentioning

confidence: 99%

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An iterative algorithm for random upper bound kinematical analysis

Chwała

2021

Studia Geotechnica Et Mechanica

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A new approach for stochastic upper bound kinematical analyses is described. The study proposes an iterative algorithm that uses the Vanmarcke spatial averaging and kinematical failure mechanisms. The iterative procedure ensures the consistency between failure geometry and covariance matrix, which influences the quality of the results. The proposed algorithm can be applied to bearing capacity evaluation or slope stability problems. The iterative algorithm is used in the study to analyse the three-dimensional undrained bearing capacity of shallow foundations and the bearing capacity of the foundation for two-layered soil, in both cases, the soil strength spatial variability is included. Moreover, the obtained results are compared with those provided by the algorithm, based on the constant covariance matrix. The study shows that both approaches provide similar results for a variety of foundation shapes and scale of fluctuation values. Therefore, the simplified algorithm can be used for purposes that require high computational efficiency and for practical applications. The achieved efficiency using a constant covariance matrix for one realisation of a three-dimensional bearing capacity problem that includes the soil strength spatial variability results in about 0.5 seconds for a standard notebook. The numerical example presented in the study indicates the importance of the iterative algorithm for further development of the failure mechanism application in probabilistic analyses. Moreover, because the iterative algorithm is based on the upper bound theorem, it could be utilised as a reference for other methods for spatially variable soil.

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Section: Conclusion and Final Remarksmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%