Slope Stochastic Dynamics

Preface
Contents
About the Authors
List of Figures
List of Tables
1 Introduction
	1.1 Background
	1.2 Slope Seismic Dynamic Response Analysis Methods
		1.2.1 Deterministic Slope Seismic Dynamic Response Analysis Methods
		1.2.2 Stochastic Slope Seismic Dynamic Response Analysis Methods
	1.3 Limitations and Deficiencies of Existing Methods
		1.3.1 Spatial Variability of Rock and Soil Parameters
		1.3.2 Randomness of Seismic Ground Motion
		1.3.3 Compound Randomness
	1.4 Aim of This Book
	References
2 Theoretical Framework of Slope Stochastic Dynamics
	2.1 General Process of Stochastic Seismic Dynamic Response Analysis
	2.2 Probability Density Evolution Method
		2.2.1 Principle of Probabilistic Conservation
		2.2.2 Generalized Probability Density Evolution Equation
		2.2.3 Numerical Solution of the GDEE
	2.3 Random Field Expression of Spatial Variability of Slope Rock and Soil Parameters
	2.4 Seismic Ground Motion Models
		2.4.1 Stochastic Seismic Ground Motion Model
		2.4.2 Ground Motion Synthesis Method Based on Stochastic Process Theory
	References
3 Numerical Simulation and Application of Slope Stochastic Seismic Response Analysis
	3.1 Slope Stochastic Seismic Analysis Methods
		3.1.1 Slope Dynamic Stability Analysis Method
		3.1.2 Finite Element Reliability Analysis Framework Based on PDEM
	3.2 Description of Stochastic Factors of Slope
		3.2.1 Generation of Stochastic Fields
		3.2.2 Stochastic Seismic Ground Motion Model
	3.3 Slope Stochastic Seismic Response Analysis
	3.4 Slope Nonlinear Stochastic Seismic Dynamic Reliability Analysis
		3.4.1 Principles of Slope Reliability Analysis
		3.4.2 Results of Slope Stochastic Seismic Dynamic Reliability Analysis
	3.5 Verification of Slope Reliability Analysis Method Based on PDEM
		3.5.1 Monte Carlo Simulations
		3.5.2 Verification Using a Closed Form Analytical Solution
	References
4 Dynamic Failure Mechanism and Post-failure Behavior Analysis of Slopes
	4.1 Evolution Process of Slope Failure
	4.2 Dynamic Failure Processes and Slope Failure Mechanism
		4.2.1 Dynamic Solution Steps
		4.2.2 Slope Dynamic Calculation Model
		4.2.3 Extraction of Dynamic Slip Surface Based on the Plastic Strain Increment
		4.2.4 Failure Process Analysis Based on Stochastic Seismic Ground Motion
	4.3 Critical Slip Surface Determination and Landslide Volume Analysis
		4.3.1 Model of Slope Stochastic Dynamic Analysis
		4.3.2 Dynamic Slip Surface and Instability Volume of Slopes
		4.3.3 Evolution Law of Slope Instability Volume
		4.3.4 Stochastic Seismic Risk Assessment of Slope
	4.4 Slope Post-failure Behavior Under Random Earthquake Based on Smoothed Particle Hydrodynamics
		4.4.1 SPH Model of Soil Flow Hazards
		4.4.2 Simulation of Random Field
		4.4.3 Large Deformation Analysis of Soil Flow Hazards
	References
5 Nonlinear Stochastic Dynamic Seismic Response Analysis of Slopes Based on Large Shaking Table Tests
	5.1 Model Design for Large Shaking Table Test
		5.1.1 Size Determination of Slope Model
		5.1.2 Material Production of Slope Model
		5.1.3 Construction and Measurement of Slope Model
		5.1.4 Ground Motion Generation and Response Acquisition
	5.2 Seismic Response Analysis of Slope Model
		5.2.1 Dynamic Characteristics of the Slope Model
		5.2.2 Stochastic Dynamic Response Analysis of Slope
		5.2.3 Seismic Dynamic Reliability Analysis of Slope
	5.3 Comparison with Numerical Modeling Results
	References
6 Conclusions and Prospects
	6.1 Conclusions
	6.2 Prospects