1. Introduction to numerical modeling in geomechanics (2 lectures)
    * Role of numerical modeling in geotechnical engineering
    * Matrix analysis of structures

2. Finite Element method (11 lectures)
    * Finite Element formulation (strong and weak forms)
    * Shape functions
    * Element matrices, assembly and application of boundary conditions
    * Two-dimensional problems
    * Isoparametric elements (quadrilateral, triangle)
    * Numerical integration
    * Error estimations
    * Time-dependent problems
    * Application of Finite Element methods to geomechanics
    * An introduction to PLAXIS

3. Constitutive modeling of soils (20 lectures)
    * Introduction to tensors and continuum mechanics
    * Soil behaviour (stresses and strains)
    * Stress paths
3.1 Linear elasticity
    * Theory
    * Isotropic/anisotropic
    * Plane stress/plane strain/axisymmetry
3.2 Linear elastic-perfectly plastic
    * Theory
    * Yield functions and failure criteria
    * Drucker-Prager and Mohr-Coulomb
3.3 Non-Linear, stress-dependent elastic hyperbolic model
    * Theory
    * Developing model parameters from laboratory data
3.4 Critical state soil mechanics and Cam-Clay
    * Hardening laws
    * Critical state soil mechanics
    * Cam-Clay and modified Cam-Clay models

4. Seepage (6 lectures)
    * Darcy’s law in one and two dimensions
    * Laplace’s equation for flow
    * Using the finite element method to solve Laplace’s equation

5. Other numerical methods (4 lectures)
    * Finite Difference
    * Material Point Method
    * Discrete Element Method