Risk assessment in geotechnical engineering: Fid-Bau Portal

Risk assessment in geotechnical engineering

Fenton, Gordon A.

Review of probability theory -- Basic set theory -- Probability -- Conditional probability -- Random variables and probability distributions -- Measures of central tendency, variability, and association -- Linear combinations of random variables -- Functions of random variables -- Common discrete probability distributions -- Common continuous probability distribution -- Extreme value distribution -- Discrete random processes -- Discrete-time discrete-state markov chains -- Continuous-time Markov chains -- Queueing models -- Random Fields -- Covariance function -- Spectral density function -- Variance function -- Correlation length -- Some common models -- Random fields in higher dimensions -- Best estimates, excursions, and averges -- Best Estimates, excursions, and averages -- Threshold excursions in one dimension -- Threshold excursions in two dimensions -- Averages -- Estimation -- Choosing a distribution -- Estimation in the presence of correlation -- Advanced estimation techniques -- Random number generator -- Generating non-uniform random variables -- Generating random fields -- Conditional simulation of random fields -- Monte Carlo simulation -- Reliability-based design -- Acceptable risk -- Assessing risk -- Background to design methodologies -- Load and resistance factor design -- Going beyond calibration -- Risk-based decision making -- Groundwater modeling -- Finite-element conductivity matrices -- One-dimensional flow -- Simple two-dimensional flow -- Two-dimensional flow beneath water retaining structure -- Three-dimensional flow -- Three-dimensional exit gradient analysis -- Flow through earth dams -- Statistics of flow through earth dams -- Extreme hydraulic gradient statistics -- Settlement of shallow foundations -- Two-dimensional probabilistic foundation settlement -- Three dimensional probabilistic foundation settlement -- Strip footing risk assessment -- Resistance factors for shallow foundation settlement design -- Bearing capacity -- Strip footings on soils -- Load and resistance factor design of shallow foundations -- Deep foundations -- Random finite element model -- Monte Carlo estimation of pile capacity -- Slope stability -- Probabilistic slope stability analysis -- Slope stability reliability model -- Earth pressure -- Passive earth pressures -- Active earth pressures: retaining wall reliability -- Mine pillar capacity -- Literature -- Parametric studies -- Probabilistic interpretation -- Liquefaction -- Model site: soil liquefaction -- Monte Carlo analysis and results -- Appendix A. Probability tables -- Appendix B. Numerical integration -- Appendix C. Computing variances and covariances of local averges.