Introduction to computational earthquake engineering/
Muneo Hori
- London: Imperial College, 2006.
- x, 330 p. ill.; 25 cm.
1 Solid Continuum Mechanics 3 -- 1.1 Spring Problem 4 -- 1.2 Pole Problem 5 -- 1.3 Continuum Problem 7 -- 2 Finite Element Method 13 -- 2.1 Overview of FEM 14 -- 2.2 Discretization of Function 17 -- 2.3 Formulation of FEM 19 -- 2.4 Major Numerical Techniques Used in FEM 23 -- 2.4.1 Shape function 23 -- 2.4.2 Isoparametric element 24 -- 2.4.3 Gauss integral 25 -- 2.5 Algorithm Used to Solve A Matrix Equation of FEM 26 -- 2.5.1 Direct solvers 27 -- 2.5.2 Iterative solvers 28 -- 2.5.3 Algorithms used to solve a non-linear equation 30 -- 3 Stochastic Modeling 33 -- 3.1 Formulation of A Stochastic Variational Problem 34 -- 3.2 Analysis Methods of A Stochastic Variational Problem 37 -- 3.2.1 Bounding medium analysis 37 -- 3.2.2 Spectral method 39 -- II Strong Ground Motion 43 -- 4 The Wave Equation for Solids 45 -- 4.1 Basics of the Wave Equation 46 -- 4.2 Analytic Solutions of Particular Wave Problems 50 -- 4.2.1 Out-of-plane shear wave 51 -- 4.2.2 In-plane wave 55 -- 4.2.3 Plane wave in three-dimensional setting 58 -- 4.3 Numerical Analysis of the Wave Equation 60 -- 4.3.1 Algorithms used for time integration 61 -- 4.3.2 Stability of time integration 63 -- 5 Analysis of Strong Ground Motion 65 -- 5.1 Stochastic Modeling of Underground Structures 66 -- 5.2 Bounding Medium Theory 67 -- 5.3 Singular Perturbation Expansion 70 -- 5.4 Formulation of Macro-Micro Analysis Method 72 -- 5.5 Verification of Macro-Micro Analysis Method 75 -- 5.5.1 Validation of bounding medium theory 75 -- 5.5.2 Validation of singular perturbation expansion 79 -- 5.5.3 Validation of macro-micro analysis method 83 -- 6 Simulation of Strong Ground Motion 89 -- 6.1 Summary of Macro-Micro Analysis Method 91 -- 6.2 VFEM for Macro-Analysis and Micro-Analysis 92 -- 6.2.1 VFEM 93 -- 6.2.2 VFEM for macro-analysis 94 -- 6.2.3 VFEM for micro-analysis 98 -- 6.2.4 Link from macro-analysis to micro-analysis 101 -- 6.3 Simulation of Actual Earthquakes 102 -- 6.3.1 Modeling 103 -- 6.3.2 Comparison of synthesized waveform with observed waveform 107 -- 6.3.3 Distribution of simulated strong ground motion 108 -- 6.3.4 The comparison of three-dimensional analysis and one-dimensional analysis 113 -- III Faulting 119 -- 7 Elasto-Plasticity and Fracture Mechanics 121 -- 7.1 Numerical Analysis of Failure 121 -- 7.2 Elasto-Plasticity 123 -- 7.3 Fracture Mechanics 126 -- 8 Analysis of Faulting 131 -- 8.1 NL-SSFEM 135 -- 8.1.1 SSFEM 135 -- 8.1.2 NL-SSFEM 137 -- 8.1.3 Bounding medium approximation 138 -- 8.1.4 Formulation of NL-SSFEM 140 -- 8.2 Numerical Algorithms of NL-SSFEM 142 -- 8.2.1 Matrix Jacobi method 142 -- 8.2.2 Standardized KL expansion 143 -- 8.2.3 Numerical perturbation during analysis of stochastic model 144 -- 8.3 Validation of NL-SSFEM Simulation 146 -- 8.4 Example of Fault Simulation of NL-SSFEM 150 -- 9 Simulation of Faulting 159 -- 9.1 Problem Setting for Fault Simulation 160 -- 9.1.1 Input data 160 -- 9.1.2 Output results 162 -- 9.2 Reproduction of Model Experiments 163 -- 9.2.1 Simulation of two-dimensional model experiment 163 -- 9.2.2 Simulation of three-dimensional model experiment 168 -- 9.3 Simulation of Actual Faults 179 -- 9.3.1 Simulation of the Nojima Fault 179 -- 9.3.2 Parametric study of stochastic parameters 186 -- 9.3.3 Simulation of the Chelungpu Fault 189 -- 10 BEM Simulation of Faulting 195 -- 10.1 Problem Setting for Fault Simulation 196 -- 10.1.1 Perturbation expansion of field variables with respect to crack extension 198 -- 10.1.2 Crack driving forces 199 -- 10.1.3 Solution of crack path problem 202 -- 10.2 Formulation of Boundary Element Method 204 -- 10.3 Verification of Analysis Method 206 -- 10.3.1 Use of analytic solution 206 -- 10.3.2 Use of numerical computation 209 -- 10.4 Reproduction of Model Experiments 215 -- 10.4.1 Simulation of model experiment of [Bray et al. (1994)] 216 -- 10.4.2 Simulation of model experiment of [Tani (1994)] 217 -- IV Advanced Topics 221 -- 11 Integrated Earthquake Simulation 223 -- 11.1 System of Integrated Earthquake Simulation 224 -- 11.2 GIS 228 -- 11.3 Construction of Computer Model 228 -- 11.3.1 Construction of ground structure model 229 -- 11.3.2 Construction of residential building model 232 -- 11.4 Example of Integrated Earthquake Simulation 235 -- 11.4.1 Modeling 235 -- 11.4.2 Strong ground motion simulation 236 -- 11.4.3 Structure response simulation 240 -- 12 Unified Visualization of Earthquake Simulation 243 -- 12.1 System for Unified Visualization 245 -- 12.1.1 Mediator 246 -- 12.1.2 Mediator maker 249 -- 12.2 IES for Unified Visualization 250 -- 12.3 Example of Unified Visualization 255 -- 13 Standardization of Earthquake Resistant Design 259 -- 13.1 Standardization of Description Style 260 -- 13.2 Description of Flow Chart in Terms of Object 261 -- 13.2.1 Reconstruction of a flow chart for general earthquake resistant designs 262 -- 13.2.2 Reconstruction of a flow chart for actual earthquake resistant design code 267 -- 13.3 Example of Standardization 271 -- Appendix A Earthquake Mechanisms 279 -- A.1 Plate Tectonics and Active Faults 279 -- A.2 Earthquake as Wave Propagation 284 -- A.2.1 Determination of input strong ground motion according to earthquake scenario 285 -- A.2.2 Soil-structure interaction 287 -- Appendix B Analytical Mechanics 289 -- Appendix C Numerical Techniques of Solving Wave Equation 293 -- C.1 Explicit Method and Implicit Method 294 -- C.2 Analysis of Wave Equation Using FEM 296 -- C.3 Absorption Boundary 299 -- Appendix D Unified Modeling Language 303.