Mathematical and Numerical Tools for Geotechnical Engineering Problems (250MEG001) – Course 2025/26 PDF
Contents
Concepts of vectors and tensors. Definitions of fields. Derivation Changes in coordinates. Eigenvalues and eigenvectors Differential operators: Del operator, Gradient, divergence and Laplacian in Cartesian and cylindrical coordinates. Integrals in space. Derivation under the integral sign. Integral theorems. Special functions: Heavyside and Dirac
Dedication
2h Large group + 3h 30m Self StudyEquations of movement. Descriptions Euleriana and Lagrangiana. Concept of material derivative. Balancing equations. Equations of movement. Exercises
Dedication
5h Large group + 8h 50m Self StudyMechanics of the solid. Constitutive equations. Tensions and deformations. Mohr's circle. Description of the deformation tensor. Hooke's law. Elasticity and plasticity Lineal elasticity. Plasticity Exercises on stress and strain
Dedication
17h Large group + 30h 10m Self Studyfinite differences, finite volumes, finite elements
Dedication
21h Large group + 37h 30m Self Study