Numerical Methods in Geotechniques
- Introducation
- 1-1- Physical, mathematical and Numerical Models and their relationships
- 1-2 Introduction to some numerical methods used in geotechnical engineering
- 2- The Finite Element Method
- 2-1 Review of some solid Mechanics concepts used in the finite element method
- 2-2 General Concepts used in the formulation of the finite element method
- 2-3 Application of the FEM for two-dimensional elements
- 2-3-1 Plane stress and plane strain elements
- 2-3-2- Constant Strain Triangle, CST
- 2-3-3 Linear Strain Triangle, LST
- 2-3-4 Isoparametric formulation and its application for rectangular elements
- 2-4 An introduction to the application of the FEM for three-dimensional elements, including axisymmetric element, tetrahedron and octahedron
- 3- The finite difference method
- 3-1 و 3-2 Mathematical formulation of the FDM
- 3-3 Some applications of the FDM in geotechnical engineering
- 4- Some applications of numerical methods in solving geotechnical problems using software