Numerical modeling, constitutive modeling of soils and rock, continuum and discrete element modeling. Concept of stress and strain, principle stresses and strains. Octahedral stresses and strains, finite element discretization of a continuum, geomechanics problems of plane strain and axisymmetric problem. Failure criteria for soils, associated and non-associated flow rule. Finite elements for non-linear material problems in soil mechanics computational procedures. Finite difference approach. Simulation of soil-structure interaction problems, application in consolidation, bearing capacity and slope stability problems using numerical approaches.
Text/Reference Books:
- Desai C. S. and Christian J. T. Numerical Methods in Geotechnical Engineering, McGraw-Hill.
- Davis R. O. and Selvadurai A. P. S. Plasticity and Geomechanics, Cambridge University Press.
- Potts D. M. and Zdravkovic L. Finite Element Analysis in Geotechnical Engineering: Theory and Application, Thomas Telford.
- Christian J. T. Numerical Methods in Geotechnical Engineering, McGraw-Hill.
- Zienkiewicz O. C., Chan A. H. C., Pastor M. and Schrefler B. A. Computational Geomechanics with Special Reference to Earthquake Engineering, Wiley.
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