This course discusses numerical model technique through finite element method in geological engineering design and technical assessment for the ground and underground constructions. The course topics include review of solid mechanics, fundamental of elasticity theory, finite element method i.e. stiffness matrix and local-global coordinates on plane stress, plain strain and axis-symmetrical problems.

In addition, applications of the finite element related to engineering geology with computer programs and variable use of soil and rock mechanical parameters are also introduced, e.g. for slope stability analysis, tunnel engineering and underground space construction.

Learning Outcomes: Developing students capability in investigating, modeling and interpreting the engineering geology problems of ground or underground construction through finite element method.

Course Outlines:

1. Introduction, general review on solid mechanics
2. Elasticity theory: balance equation, compatibility, boundary condition, stress-strain-displacement equations
3. Finite element in 2-D condition: plane stress, plane strain, plate bending, axis-symmetrical problems
4. Principle of virtual work, strain energy, potential energy, Rayleigh-Ritz method
5. Finite element: discretization, displacement formulation, stiffness matrix, local-global coordinates, triangular and rectangular elements
6. Variable parameters in solid mechanics, rock and soil mechanical behaviours
7. Application of 2-D finite element with PLAXIS
8. Application of 2-D finite element with Rocscience RS2
9. Modeling rock-soil slope stability and underground excavation
10. Modeling tunnel: effects of discontinuity and stage construction

• Potts, D.M. and Zdravkovic, L. 2001. Finite Element Analysis in Geotechnical Engineering: Application. Thomas Telford
• Zienkiewicz, O.C., and Taylor, R.L. 2006. The Finite Element Method, Volume 1: The Basis. 5th Edition, Butterworth-Heinemann
• Suhendro, B. 2000. Metode Elemen Hingga dan Aplikasinya. Beta Offset. Yogyakarta
• Lees, A. 2016. Geotechnical Finite Element Analysis: A practical guide. ICE Publishing
• Beer, G. 2003. Numerical simulation in tunneling. Springer-Verlag
• Zhu, W. and Zhao, J. 2004. Stability analysis and modelling of underground excavations in fractured rocks. Elsevier Ltd.