A computational study on the uncertainty quantification of failure of clays with a modified Cam-Clay yield criterion

Abstract

In this study, the quantitative effect of the random distribution of the soil material properties to the probability density functions of the failure load and displacements is presented. A modified Cam-Clay failure criterion is embedded into a stochastic finite element numerical tool for this purpose. Various assumptions for the random distribution of the compressibility factor $$\kappa$$ κ , of the constitutive relation, the critical state line inclination c of the soil, and the permeability k have been tested and assessed with Latin hypercube sampling followed by Monte Carlo simulation. It is confirmed that both failure load and displacements follow Gaussian normal distribution despite the nonlinearity of the problem. Moreover, as the soil depth increases the mean value of failure load decreases and the failure displacement increases. Consequently, failure mechanism of clays can be determined in this work within an acceptable variability, taking into account the soil depth and nonlinear constitutive relations which in the analytical solutions is not feasible as it is assumed the Meyerhoff theory which considers the elastic halfspace.

SRRI Methodology to Quantify the Seismic Resilience of Road Infrastructures

“…One limitation may be considered-the assessment of the role of soil-structure interaction (SSI), which may have important effects on the seismic resilience, as demonstrated in [8]. Such neglect does not compromise the high impact of the SRRI methodology due to uncertainties of soil and site effects [46].…”

Research on the Fracture Propagation Law of Separate Layered Fracturing in Unconventional Sandstone Reservoirs

“…In recent years, the extension of the modified Cam-clay model has been referred to as a double surface material constitutive model. The implementation of this version appears to give more accurate results [45,46]. This section introduces and modifies the Cambridge model.…”

Probabilistic Failure Estimation of an Oblique Loaded Footing Settlement on Cohesive Geomaterials with a Modified Cam Clay Material Yield Function

“…In this section an improvement of an algorithm proposed by the authors of [35] for the determination of failure load, when the dynamic loading function is the ramp loading function, is presented. The aim of the algorithm is to find the failure load at exactly the end of the ramp loading as indicated in Figure 3.…”

“…The computational cost needed by the crude Monte Carlo simulation method can be decreased with efficient computational schemes as proposed in [33,34]. For the calculation of failure load an improved version of a recurrence relation algorithm proposed by the authors of [35], which provides reliable results with a small number of trials and with one initial guess trial is portrayed. The algorithm is theoretically defined, proven and compared with the bisection method.…”

“…The algorithm is theoretically defined, proven and compared with the bisection method. The aim of the present paper, which is an extension of previous work in [35], is to quantify numerically, in the case of shallow foundations, the variability of the failure load and failure displacement alongside with the uncertainty quantification of the failure mechanism in relation to the variability of the input parameters like the spatial distribution of the material variables and the obliquity of the load with respect to the horizontal direction.…”