Advanced Modelling in Geomechanics

Lecturer:

Tutor:

Supervisor:

Department of Geotechnics

Synopsis:

Suitability, capability and limitations of

conventional analytical and numerical methods in CAD/CAM in

geomechanics. Basic types of constitutive models of soils and

rocks. Mathematical methods of solution. Relationship of

geotechnical, constitutive and mathematical models. Summary of

PC geotechnical software. Case histories of selected

geotechnical problems.

Requirements:

135SOME Soil Mechanics, 135GEME Geomechanics

Syllabus of lectures:

1. Capability and limitations of conventional and numerical methods in geomechanics.

2. Relationship of geotechnical and constitutive models, validity of solutions.

3. Overwiev of mathematical methods of solution - FDM, FEM, BEM.

4. Finite element method - basic principles, variational methods in mechanics

5. Finite element method - elastic solution, element stiffnes matrix

6. Finite element method - elastoplastic solutions

7. Basic types of constitutive models of soil and rock mass behaviour (I).

8. Basic types of constitutive models of soil and rock mass behaviour (II).

9. Basic types of constitutive models of soil and rock mass behaviour (III).

10. Summary of PC geotechnical software - conventional methods.

11. Summary of PC geotechnical software - FEM (I)

12. Summary of PC geotechnical software - FEM (II)

13. Case histories of selected geotechnical problems (I).

14. Case histories of selected geotechnical problems (II).

Syllabus of tutorials:

Study Objective:

Acquaintance with computer assisted geotechnical design and link-up of geotechnical, physical and mathematical models and numerical modelling.

Study materials:

Zienkiewicz,O.C.: The Finite Element Method in Engineering Science, McGraw-Hill, London, 1979, PLAXIS7 Program Manual

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: