Geotechnical Reliability Analysis
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ISBN13: | 9789811962530 |
ISBN10: | 9811962537 |
Binding: | Hardback |
No. of pages: | 310 pages |
Size: | 235x155 mm |
Weight: | 718 g |
Language: | English |
Illustrations: | 76 Illustrations, black & white; 106 Illustrations, color |
654 |
This textbook systematically introduces the theories, methods, and algorithms for geotechnical reliability analysis. There are a lot of illustrative examples in the textbook such that readers can easily grasp the concepts and theories related to geotechnical reliability analysis. A unique feature of the textbook is that computer codes are also provided through carefully designed examples such that the methods and the algorithms described in the textbook can be easily understood. In addition, the computer codes are flexible and can be conveniently extended to analyze different types of realistic problems with little additional efforts.
- Chapter 1: Basics of probability theory
- 1.1 Set theory
- 1.2 Conditional probability
- 1.3 Total probability theorem
- 1.4 Discrete random variables
- 1.5 Continuous random variables
- 1.6 Multivariate random variables
- 1.7 Summary and further readings
- Chapter 2: First order reliability methods
- 2.1 Concept of geotechnical reliability
- 2.2 Mean first order reliability method (MFORM)
- 2.3 Advanced first order reliability method (AFORM)
- 2.4 AFORM
-based system reliability analysis
- 2.5 Summary and further readings
-
- Chapter 3: Simulation
-based methods
- 3.1 Methods for generating random numbers
- 3.2 Estimating failure probability based on Monte Carlo simulation
- 3.3 Latin hypercube sampling
- 3.4 Importance sampling
- 3.5 Subset sampling
- 3.6 Summary and further readings
-
- Chapter 4: Response surface methods
- 4.1 Classical response surface
- 4.2 Kriging
-based response surface
- 4.3 Support vector machine
-based response surface
- 4.4 Summary and further readings
-
- Chapter 5: Modeling of spatial variability
- 5.1 Spatial variability of soils
- 5.2 Random field theory
- 5.3 Simulation of univariate random fields
- 5.4 Simulation of multivariate random fields
- 5.5 Effect of spatial variability on geotechnical reliability
- 5.6 Summary and further readings
-
- Chapter 6: Reliability
-based design in geotechnical engineering
- 6.1 Calibrating a single resistance factor
- 6.2 Calibrating multiple resistance factors
- 6.3 Challenges in implementing load resistance factor design in geotechnical engineering
- 6.4 Expanded reliability based design
- 6.5 Robust geotechnical design
- 6.6 Summary and further readings
-
- Chapter 7: Bayesian methods
- 7.1 Concept of Bayesian updating
- 7.2 Conjugate prior distributions
- 7.3 Direct integration method
- 7.4 Maximum posterior density method
- 7.5 System identification method
- 7.6 Markov chain Monte Carlo simulation
- 7.7 Summary and further readings