Application Of Random Field Finite Element Method In Geotechnical Risk Analysis: An Application For Shallow Foundations


Thesis Type: Postgraduate

Institution Of The Thesis: Gazi Üniversitesi, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2014

Student: EMRE TÜRK

Supervisor: SAMİ OĞUZHAN AKBAŞ

Abstract:

The Random Finite Element Method, which associates random field theory with deterministic finite elements by considering the mean, standard deviation and correlation length values of the load and resistance parameters, has proven to be an effective tool for solving many geotechnical engineering problems. Accordingly, this study aims to compare the random finite element method and the traditional Monte Carlo Simulation Method regarding the case drained and undrained bearing capacities of strip footings in the context of reliability-based design and geotechnical uncertainties. The last chapter focuses on the implementation of random finite element method within a spesific case. For this purpose, the over consolidated Ankara Clay, statistical characteristics of which have been identified in a detailed way, is considered as the foundation soil. First, to determine the total variation of undrained shear strength, the first order second moment probabilistic approach is employed for combining the inherent variability, measurement errors and transformation errors when necessary. Than, random finite element method is used for the estimation of probability of failure or the reliability index of the design under various conditions. Finally, the effect of the scale of fluctuation that defines the spatial correlation in horizontal and vertical directions, is examined in detail within this context.