The stochastic finite element method in geotechnical engineeringAbstract This paper presents several techniques making it possible to apply the Stochastic Finite Element Method (SFEMI to geotechnical structures. SFEM can be used for assessing the error margin on the results of numerical modeling of such structures, taking into account the main uncertainty sources, including those concerning soil parameters. As shown in the paper, the Finite Element Method can be coupled with probabilistic techniques such as the Monte-Carlo Method and different perturbation techniques including the First OrderSecond Moment method and the Point Estimate method. The advantages and limitations of these different techniques are discussed The application of the SFEM is briefly illustrated by analyses of uncertainty on the stress field within a simple structure and on the displacement field within an embankment. The results of these analyses and those of similar ones that will he presented in future papers show that, in spite of its current limitations, the SFEM can help geotechnical engineers to introduce a quite necessary additional degree of realism in Finite Element modeling,
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