INTRODUCTION TO COMPUTATIONAL EARTHQUAKE ENGINEERING

Introduction to Computational Earthquake Engineering covers solid continuum mechanics, finite element method and stochastic modeling comprehensively, with the second and third chapters explaining the numerical simulation of strong ground motion and faulting, respectively. Stochastic modeling is used for uncertain underground structures, and advanced analytical methods for linear and non-linear stochastic models are presented. The verification of these methods by comparing the simulation results with observed data is then presented, and examples of numerical simulations which apply these method.

9.3.2 Parametric study of stochastic parameters.

Preface; Preface for Second Edition; Contents; 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 Problem3.2 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 Structures5.2 Bounding M…