Influence of Random Heterogeneity of Cross-Correlated Strength Parameters on Bearing Capacity of Shallow Foundations

Pouya, Kaveh Ranjbar; Zhalehjoo, Negin; Chenari, Reza Jamshidi

doi:10.1007/s40098-013-0096-9

Cited by 28 publications

(3 citation statements)

References 26 publications

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“…Inherent variability of soil shear strength parameters, stemming from the deposition process and sedimentation history, is a crucial feature of soil deposits which must be taken into account while performing stability analyses [26]. The common approach to account for this important feature in lower bound FELA simulations is the realization of the substantiated spatial variability through performing a great number of deterministic stability analyses.…”

Section: Internet Variability Of Soil Shear Strength Parametersmentioning

confidence: 99%

Probabilistic Assessment of Seismic Bearing Capacity of Strip Footings Seated on Heterogeneous Slopes Using Finite Element Limit Analysis (FELA) and Response Surface Method (RSM)

Fathipour¹,

Javankhoshdel²,

Abolfazlzadeh³

et al. 2023

Proceedings of the TMIC 2022 Slope Stability Conference (TMIC 2022)

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The paper demonstrates the use of the response surface method (RSM) to carry out probabilistic assessment of the seismic bearing capacity of shallow footings seated near naturally occurring heterogeneous slopes. To this end, a pseudo-static loading is applied to a randomly uniform slope, which is homogeneous in each case but random between realizations. The method substantially reduces the number of Monte Carlo simulations required to carry out cumbersome probabilistic slope stability analyses. A finite element limit analysis model based on the lower bound theorem is developed, which is then used to generate a large synthetic database of numerical results for the seismic bearing capacity of shallow foundations resting on inherently variable natural slopes. To this end, a permutation of the key parameters is formed and lower bound FELA-based limit loads are sought through optimization in MATLAB. A closed-form solution is formulated using RSM-based polynomials. The RSM equations, which are acquired from least squares regression analyses, are used to carry out probabilistic Monte Carlo simulations and the results are presented in forms of cumulative distribution functions. Results from the probabilistic analyses are introduced into some reliability-based design approach to render design loads for different reliability levels.

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Section: Internet Variability Of Soil Shear Strength Parametersmentioning

confidence: 99%

Probabilistic Assessment of Seismic Bearing Capacity of Strip Footings Seated on Heterogeneous Slopes Using Finite Element Limit Analysis (FELA) and Response Surface Method (RSM)

Fathipour¹,

Javankhoshdel²,

Abolfazlzadeh³

et al. 2023

Proceedings of the TMIC 2022 Slope Stability Conference (TMIC 2022)

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“…It is worth mentioning from the literature that negative correlation between c and have been reportedly confirmed from laboratory measurements and is thought to be more realistic (Lumb 1970;Yucemen et al 1973;Cherubini 1997Cherubini , 2000Forrest and Orr 2010;Hata et al 2012). In the same vein, negatively correlated soil strength properties have been considered in several studies (e.g., Rackwitz 2000;Cherubini 2000;Li et al 2011;Lü and Low 2011;Soubra and Mao 2012;Ranjbar Pouya et al 2014). Cho and Park (2009) and Cho (2010) asserted that the assumption of uncorrelated shear strength parameters renders conservative results in the case where actual correlation was negative, but it would underestimate the probability of failure if the actual correlation was positive.…”

Section: Cross-correlation Between Soil Propertiesmentioning

confidence: 99%

Discussion of “Probabilistic seismic slope stability analysis and design”

2020

Self Cite

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“…Estimating the bearing capacity of footings on heterogeneous clay soil is a geotechnical problem in which consideration of spatial variability of underlying clay layers has an important effect on the results. Although the effect of spatial variability has been investigated on the bearing capacity of clay layers in some previous studies [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], there has been no study that comprehensively considered the effect of spatial variability parameters on the bearing capacity of footings on clay. Griffiths and Fenton (2001) investigated the bearing capacity of smooth footings on clay by considering the spatial variability of undrained shear strength.…”

Section: Introductionmentioning

confidence: 99%

Simple Equations for Considering Spatial Variability on the Bearing Capacity of Clay

Azan

Haddad

2019

Civ Eng J

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In the present paper, the effect of spatial variability of undrained shear strength on the bearing capacity of shallow strip footing on clay was investigated and two new and simple equations were introduced for incorporating the effect of soil variability parameters on the undrained bearing capacity of strip footing on clay. For investigating the spatial variability of clay, undrained shear strength was assumed as a spatial variable parameter with the use of random field theory. The Monte Carlo simulation technique was used to obtain the probability distribution of the bearing capacity of footing on nonhomogeneous clay. The spatial variability of the undrained shear strength was investigated using three controlling parameters: coefficient of variation (COV) of the undrained shear strength as well as the scales of fluctuation of the shear strength in horizontal and vertical directions. The Mohr-Coulomb failure criterion and finite difference method were used to model the plastic behaviour of soil and calculate the bearing capacity of the footing. The results show that by increasing the COV of the undrained shear strength, the average bearing capacity decreases while the COV of the bearing capacity increases. Moreover, the average bearing capacity of footing has an approximate increasing trend with increasing the scales of fluctuation.

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Influence of Random Heterogeneity of Cross-Correlated Strength Parameters on Bearing Capacity of Shallow Foundations

Cited by 28 publications

References 26 publications

Probabilistic Assessment of Seismic Bearing Capacity of Strip Footings Seated on Heterogeneous Slopes Using Finite Element Limit Analysis (FELA) and Response Surface Method (RSM)

Probabilistic Assessment of Seismic Bearing Capacity of Strip Footings Seated on Heterogeneous Slopes Using Finite Element Limit Analysis (FELA) and Response Surface Method (RSM)

Discussion of “Probabilistic seismic slope stability analysis and design”

Simple Equations for Considering Spatial Variability on the Bearing Capacity of Clay

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