SF4003 Finite Element Method in Geotechnical Engineering Syllabus:

SF4003 Finite Element Method in Geotechnical Engineering Syllabus – Anna University PG Syllabus Regulation 2021


 Students are focused on acquiring the basic knowledge and computational skills in terms of finite element formulation with respect to various kinds of Geotechnical Engineering problems.


Basic concepts – discretization of continuum, typical elements, the element characteristic matrix, element assembly and solution for unknowns – applications. Variational principles, variational formulation of boundary value problems, variational methods of approximation such as Ritz and weighted residual (Galerkin) methods.


Displacement based elements – element equations, convergence requirements, shape functions – element stresses and strains – element stiffness matrix – global equations – boundary conditions – solution of global equations – finite elements for axi-symmetric problem – one dimensional problem of stresses and strains – finite element analysis for two – dimensional problems.


Isoparametric element – Local and Natural Co-ordinates systems, Line, Triangular, Quadrilateral and Tetrahedral Element-Interpolation – Displacement Models Formulation of Isoparametric – Finite element matrices in Local and Global Coordinate system – refined elements – numerical integration techniques.


Total stress analysis – pore pressure calculation – FEM to model structural components, strain definitions, constitutive equation, finite element formulation, membrane elements – Finite elements to model interfaces – basic theory – finite element formulation – boundary conditions – finite element theory for nonlinear behavior of soils.


Use of FEM to problems in soils – description and application to consolidation – seepage – FEM to simulate soil – structure interaction problems – finite element theory for simulating and analyzing the real foundation problem such as footing, pile foundation and deep excavations.


On completion of the course, the student is expected to be able to
CO1 understand the basic concept involved in finite element method using variational principles
CO2 differentiate various types of displacement models, select suitable finite element model and able to solve geotechnical problems
CO3 understand the basic concept of isoparametric finite element formulation and its use in solving geotechnical related problems
CO4 consider the various geotechnical concept in the finite element formulations including interfacial behaviour
CO5 develop finite element formulation for different geotechnical engineering related problems


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