Contents -- Preface -- Preface for Second Edition -- Part I. Preliminaries -- 1. Solid Continuum Mechanic -- 1.1 Spring Problem -- 1.2 Pole Problem -- 1.3 Continuum Problem -- 2. Finite Element Method -- 2.1 Overview of FEM -- 2.2 Discretisation of Function -- 2.3 Formulation of FEM -- 2.4 Major Numerical Techniques Used in FEM -- 2.4.1 Shape function -- 2.4.2 Isoparametric element -- 2.4.3 Gauss integral -- 2.5 Algorithm Used to Solve A Matrix Equation of FEM -- 2.5.1 Direct solvers -- 2.5.2 Iterative solvers -- 2.5.3 Algorithms used to solve a non-linear equation -- 3. Stochastic Modeling -- 3.1 Formulation of A Stochastic Variational Problem -- 3.2 Analysis Methods of A Stochastic Variational Problem -- 3.2.1 Bounding medium analysis -- 3.2.2 Spectral method -- Part II. Strong Ground Motion -- 4. The Wave Equation for Solids -- 4.1 Basics of the Wave Equation -- 4.2 Analytic Solutions of Particular Wave Problems -- 4.2.1 Out-of-plane shear wave -- 4.2.2 In-plane wave -- 4.2.3 Plane wave in three-dimensional setting -- 4.3 Numerical Analysis of the Wave Equation -- 4.3.1 Algorithms used for time integration -- 4.3.2 Stability of time integration -- 5. Analysis of Strong Ground Motion -- 5.1 Stochastic Modeling of Underground Structures -- 5.2 Bounding Medium Theory -- 5.3 Singular Perturbation Expansion -- 5.4 Formulation of Macro-Micro Analysis Method -- 5.5 Verification of Macro-Micro Analysis Method -- 5.5.1 Validation of bounding medium theory -- 5.5.2 Validation of singular perturbation expansion -- 5.5.3 Validation of macro-micro analysis method -- 6. Simulation of Strong Ground Motion -- 6.1 Summary of Macro-Micro Analysis Method -- 6.2 VFEM for Macro-Analysis and Micro-Analysis -- 6.2.1 VFEM -- 6.2.2 VFEM for macro-analysis -- 6.2.3 VFEM for micro-analysis -- 6.2.4 Link from macro-analysis to micro-analysis.

6.3 Simulation of Actual Earthquakes -- 6.3.1 Modeling -- 6.3.2 Comparison of synthesised waveform with observed waveform -- 6.3.3 Distribution of simulated strong ground motion -- 6.3.4 The comparison of three-dimensional analysis and one-dimensional analysis -- Part III. Faulting -- 7. Elasto-Plasticity and Fracture Mechanics -- 7.1 Numerical Analysis of Failure -- 7.2 Elasto-Plasticity -- 7.3 Fracture Mechanics -- 8. Analysis of Faulting -- 8.1 NL-SSFEM -- 8.1.1 SSFEM -- 8.1.2 NL-SSFEM -- 8.1.3 Bounding medium approximation -- 8.1.4 Formulation of NL-SSFEM -- 8.2 Numerical Algorithms of NL-SSFEM -- 8.2.1 Matrix Jacobi method -- 8.2.2 Standardised KL expansion -- 8.2.3 Numerical perturbation during analysis of stochastic model -- 8.3 Validation of NL-SSFEM Simulation -- 8.4 Example of Fault Simulation of NL-SSFEM -- 9. Simulation of Faulting -- 9.1 Problem Setting for Fault Simulation -- 9.1.1 Input data -- 9.1.2 Output results -- 9.2 Reproduction of Model Experiments -- 9.2.1 Simulation of two-dimensional model experiment -- 9.2.2 Simulation of three-dimensional model experiment -- 9.3 Simulation of Actual Faults -- 9.3.1 Simulation of the Nojima Fault -- 9.3.2 Parametric study of stochastic parameters -- 9.3.3 Simulation of the Chelungpu Fault -- 10. BEM Simulation of Faulting -- 10.1 Problem Setting for Fault Simulation -- 10.1.1 Perturbation expansion of field variables with respect to crack extension -- 10.1.2 Crack driving forces -- 10.1.3 Solution of crack path problem -- 10.2 Formulation of Boundary Element Method -- 10.3 Verification of Analysis Method -- 10.3.1 Use of analytic solution -- 10.3.2 Use of numerical computation -- 10.4 Reproduction of Model Experiments -- 10.4.1 Simulation of model experiment of [Bray et al. (1994)] -- 10.4.2 Simulation of model experiment of [Tani (1994)] -- Part IV. Advanced Topics.

11. Integrated Earthquake Simulation -- 11.1 System of Integrated Earthquake Simulation -- 11.2 GIS -- 11.3 Construction of Computer Model -- 11.3.1 Construction of ground structure model -- 11.3.2 Construction of residential building model -- 11.4 Example of Integrated Earthquake Simulation -- 11.4.1 Modeling -- 11.4.2 Strong ground motion simulation -- 11.4.3 Structure response simulation -- 12. Unified Visualisation of Earthquake Simulation -- 12.1 System for Unified Visualisation -- 12.1.1 Mediator -- 12.1.2 Mediator maker -- 12.2 IES for Unified Visualisation -- 12.3 Example of Unified Visualisation -- 13. Standardisation of Earthquake Resistant Design -- 13.1 Standardisation of Description Style -- 13.2 Description of Flow Chart in Terms of Object -- 13.2.1 Reconstruction of flow chart for general earthquake resistant designs -- 13.2.2 Reconstruction of flow chart for actual earthquake resistant design code -- 13.3 Example of Standardisation -- 14. Multi-Agent Simulation for Evacuation Process Analysis -- 14.1 Evacuation Process Analysis -- 14.2 Numerical Methods for Evacuation Process Analysis -- 14.2.1 Simulation of physical model -- 14.2.2 Cellular automata -- 14.2.3 MAS (Multi-Agent Simulation) -- 14.3 Design of Agent and Environment for Multi-Agent Simulation -- 14.4 Measurement of Individual Walking Speed by Image Analysis -- 14.4.1 Walking speed distribution in crowded situation -- 14.4.2 Individual speed escaping from tsunami -- 14.4.3 Individual speed evacuating during earthquake -- 14.5 Construction of Environment Using Digital Data -- 14.5.1 Methodology of automatic data conversion -- 14.5.2 Automatic data conversion for GIS -- 14.5.3 Example of automatic data conversion for GIS -- 14.5.4 Automatic data conversion for CAD data -- 14.5.5 Example of automatic data conversion of CAD data.

14.6 Examples of Multi-Agent Simulation for Evacuation Process Analysis -- 14.6.1 Road network -- 14.6.2 Subway station -- 14.6.3 Underground shopping mall -- Appendix A. Earthquake Mechanisms -- A.1 Plate Tectonics and Active Faults -- A.2 Earthquake as Wave Propagation -- A.2.1 Determination of input strong ground motion according to earthquake scenario -- A.2.2 Soil-structure interaction -- Appendix B. Analytical Mechanics -- Appendix C. Numerical Techniques of Solving Wave Equation -- C.1 Explicit Method and Implicit Method -- C.2 Analysis of Wave Propagation Using FEM -- C.3 Absorption Boundary -- Appendix D. Unified Modeling Language -- Bibliography -- Index.