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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