| Preface | p. v |
| Preliminaries | p. 1 |
| Solid Continuum Mechanics | p. 3 |
| Spring Problem | p. 4 |
| Pole Problem | p. 5 |
| Continuum Problem | p. 7 |
| Finite Element Method | p. 13 |
| Overview of FEM | p. 14 |
| Discretization of Function | p. 17 |
| Formulation of FEM | p. 19 |
| Major Numerical Techniques Used in FEM | p. 23 |
| Shape function | p. 23 |
| Isoparametric element | p. 24 |
| Gauss integral | p. 25 |
| Algorithm Used to Solve A Matrix Equation of FEM | p. 26 |
| Direct solvers | p. 27 |
| Iterative solvers | p. 28 |
| Algorithms used to solve a non-linear equation | p. 30 |
| Stochastic Modeling | p. 33 |
| Formulation of A Stochastic Variational Problem | p. 34 |
| Analysis Methods of A Stochastic Variational Problem | p. 37 |
| Bounding medium analysis | p. 37 |
| Spectral method | p. 39 |
| Strong Ground Motion | p. 43 |
| The Wave Equation for Solids | p. 45 |
| Basics of the Wave Equation | p. 46 |
| Analytic Solutions of Particular Wave Problems | p. 50 |
| Out-of-plane shear wave | p. 51 |
| In-plane wave | p. 55 |
| Plane wave in three-dimensional setting | p. 58 |
| Numerical Analysis of the Wave Equation | p. 60 |
| Algorithms used for time integration | p. 61 |
| Stability of time integration | p. 63 |
| Analysis of Strong Ground Motion | p. 65 |
| Stochastic Modeling of Underground Structures | p. 66 |
| Bounding Medium Theory | p. 67 |
| Singular Perturbation Expansion | p. 70 |
| Formulation of Macro-Micro Analysis Method | p. 72 |
| Verification of Macro-Micro Analysis Method | p. 75 |
| Validation of bounding medium theory | p. 75 |
| Validation of singular perturbation expansion | p. 79 |
| Validation of macro-micro analysis method | p. 83 |
| Simulation of Strong Ground Motion | p. 89 |
| Summary of Macro-Micro Analysis Method | p. 91 |
| VFEM for Macro-Analysis and Micro-Analysis | p. 92 |
| VFEM | p. 93 |
| VFEM for macro-analysis | p. 94 |
| VFEM for micro-analysis | p. 98 |
| Link from macro-analysis to micro-analysis | p. 101 |
| Simulation of Actual Earthquakes | p. 102 |
| Modeling | p. 103 |
| Comparison of synthesized waveform with observed waveform | p. 107 |
| Distribution of simulated strong ground motion | p. 108 |
| The comparison of three-dimensional analysis and one-dimensional analysis | p. 113 |
| Faulting | p. 119 |
| Elasto-Plasticity and Fracture Mechanics | p. 121 |
| Numerical Analysis of Failure | p. 121 |
| Elasto-Plasticity | p. 123 |
| Fracture Mechanics | p. 126 |
| Analysis of Faulting | p. 131 |
| NL-SSFEM | p. 135 |
| SSFEM | p. 135 |
| NL-SSFEM | p. 137 |
| Bounding medium approximation | p. 138 |
| Formulation of NL-SSFEM | p. 140 |
| Numerical Algorithms of NL-SSFEM | p. 142 |
| Matrix Jacobi method | p. 142 |
| Standardized KL expansion | p. 143 |
| Numerical perturbation during analysis of stochastic model | p. 144 |
| Validation of NL-SSFEM Simulation | p. 146 |
| Example of Fault Simulation of NL-SSFEM | p. 150 |
| Simulation of Faulting | p. 159 |
| Problem Setting for Fault Simulation | p. 160 |
| Input data | p. 160 |
| Output results | p. 162 |
| Reproduction of Model Experiments | p. 163 |
| Simulation of two-dimensional model experiment | p. 163 |
| Simulation of three-dimensional model experiment | p. 168 |
| Simulation of Actual Faults | p. 179 |
| Simulation of the Nojima Fault | p. 179 |
| Parametric study of stochastic parameters | p. 186 |
| Simulation of the Chelungpu Fault | p. 189 |
| BEM Simulation of Faulting | p. 195 |
| Problem Setting for Fault Simulation | p. 196 |
| Perturbation expansion of field variables with respect to crack extension | p. 198 |
| Crack driving forces | p. 199 |
| Solution of crack path problem | p. 202 |
| Formulation of Boundary Element Method | p. 204 |
| Verification of Analysis Method | p. 206 |
| Use of analytic solution | p. 206 |
| Use of numerical computation | p. 209 |
| Reproduction of Model Experiments | p. 215 |
| Simulation of model experiment of [Bray et al. (1994)] | p. 216 |
| Simulation of model experiment of [Tani (1994)] | p. 217 |
| Advanced Topics | p. 221 |
| Integrated Earthquake Simulation | p. 223 |
| System of Integrated Earthquake Simulation | p. 224 |
| GIS | p. 228 |
| Construction of Computer Model | p. 228 |
| Construction of ground structure model | p. 229 |
| Construction of residential building model | p. 232 |
| Example of Integrated Earthquake Simulation | p. 235 |
| Modeling | p. 235 |
| Strong ground motion simulation | p. 236 |
| Structure response simulation | p. 240 |
| Unified Visualization of Earthquake Simulation | p. 243 |
| System for Unified Visualization | p. 245 |
| Mediator | p. 246 |
| Mediator maker | p. 249 |
| IES for Unified Visualization | p. 250 |
| Example of Unified Visualization | p. 255 |
| Standardization of Earthquake Resistant Design | p. 259 |
| Standardization of Description Style | p. 260 |
| Description of Flow Chart in Terms of Object | p. 261 |
| Reconstruction of a flow chart for general earthquake resistant designs | p. 262 |
| Reconstruction of a flow chart for actual earthquake resistant design code | p. 267 |
| Example of Standardization | p. 271 |
| Earthquake Mechanisms | p. 279 |
| Plate Tectonics and Active Faults | p. 279 |
| Earthquake as Wave Propagation | p. 284 |
| Determination of input strong ground motion according to earthquake scenario | p. 285 |
| Soil-structure interaction | p. 287 |
| Analytical Mechanics | p. 289 |
| Numerical Techniques of Solving Wave Equation | p. 293 |
| Explicit Method and Implicit Method | p. 294 |
| Analysis of Wave Equation Using FEM | p. 296 |
| Absorption Boundary | p. 299 |
| Unified Modeling Language | p. 303 |
| Bibliography | p. 307 |
| Index | p. 325 |
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