Risk Assessment in Geotechnical Engineering

The Stochastic Finite Element Method for Nuclear Applications

“…This random field generator requires the mean values, standard deviation and correlation length as inputs. An in detail explanation of the local average subdivision method can be found in reference [10]. The realisations produced with this random field generator were used as an input in the finite element software ParaFEM.…”

“…Examples of some realisations are shown in Figure 10. This random field generator is a modified version of the Local Average Subdivision method [10]. In this random field the intact material is assigned with a given material property value and the porous material property value are 100 times smaller than the value for intact material.…”

The Random Material Point Method

“…Hicks and Samy 2002;Fenton and Griffiths 2008). Additionally, soil failures often involve large deformations which are typically unsuitable for simulations using static mesh-based methods such as the finite element method.…”

Calibration of Factors of Safety for Slope Stability of Dikes

“…A detailed comparison between numerical and analytical approaches was recently made for long slopes characterised by spatially variable undrained shear strength (Li et al, 2015). This involved the random finite element method (RFEM) (Fenton & Griffiths, 2008) and a simpler approach developed by Vanmarcke (1977), based on idealising the failure mechanism as a cylindrical surface with additional resistance at both ends. This was later extended (Vanmarcke, 1980) to general drained and undrained cases, for spatially variable C-ϕ soils governed by the Mohr-Coulomb failure criterion.…”