FEM in Geomechanics
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FEM in Geomechanics Syllabus — Unit-wise Content
The official GTU curriculum for FEM in Geomechanics (subject code 3724301) as prescribed for GE · Semester 2 divides the course into 8 units, covering 34 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (3724301)Unit 1 Concepts of FDM, limitations of FDM, introduction to FEM, Steps involved in Finite
- Element Analysis Procedure
- Merits and Demerits
- Principles of Elasticity: Equations of equilibrium and compatibility
- stress-strain relations
- plane stress and plane strain and axi-symmetric problems
Unit 2 Element Properties
- Concept of an element
- various element shapes
- Displacement models
- Generalized coordinates
- Shape functions
- Convergent and Compatibility requirements
- Geometric invariance
- Natural coordinate system - area and volume coordinates
Unit 3 Generation of Element Stiffness and Nodal Load Matrices, Isoparametric Formulation
- Different isoparametric elements for 1D-Bar element
- 2D analysis-CST & Quadrilateral
- formulation of 4-noded isoparametric quadrilateral elements
- Lagrangian elements
- Serendipity elements
Unit 4 Assemblage of Elements
- Discretization of a structure
- numbering systems
- Aspect ratio its effects
- Direct Stiffness method. 07 Subject Code 3724301 w.e.f
Unit 5 Techniques of nonlinear analysis, constitutive modeling for soils, determination of soil
- parameters for such analysis
- related applications
Unit 6 Introduction to Artificial Intelligence in GE
- Expert systems
- Artificial Neural Network (ANN)
- Fuzzy Logic
- Genetic Algorithm
Unit 7 Variational Calculus
- Euler–Lagrange method
- Galerkin’s method
- Ritz method
- Kantorovich’s method
Unit 8 Application of FEM/Modelling of problems using FEM based software’s like PLAXIS,
- etc. to solve various geotechnical problems
- (Only During Laboratory Hours) ---
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