Introduction to Computational Earthquake Engineering

Pt. 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. 2.5. Algorithm used to solve a matrix equation of FEM. 3. Stochastic modeling. 3.1. Formulation of a stochastic variational problem. 3.2. Analysis methods of a stochastic variational problem -- pt. 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. 4.3. Numerical analysis of the wave equation. 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. 6. Simulation of strong ground motion. 6.1. Summary of macro-micro analysis method. 6.2. VFEM for macro-analysis and micro-analysis. 6.3. Simulation of actual earthquakes -- pt. 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. 8.2. Numerical algorithms of NL-SSFEM. 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. 9.2. Reproduction of model experiments. 9.3. Simulation of actual faults. 10. BEM simulation of faulting. 10.1. Problem setting for fault simulation. 10.2. Formulation of boundary element method. 10.3. Verification of analysis method. 10.4. Reproduction of model experiments -- pt. IV. Advanced topics. 11. Integrated earthquake simulation. 11.1. System of integrated earthquake simulation. 11.2. GIS. 11.3. Construction of computer model. 11.4. Example of integrated earthquake simulation. 12. Unified visualisation of earthquake simulation. 12.1. System for unified visualisation. 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. 13.3. Example of standardisation. 14. Multi-agent simulation for evacuation process analysis. 14.1. Evacuation process analysis. 14.2. Numerical methods for evacuation. 14.3. Design of agent and environment for multi-agent simulation. 14.4. Measurement of individual walking speed by image analysis. 14.5. Construction of environment using digital data. 14.6. Examples of multi-agent simulation for evacuation process analysis