## Friday, February 7, 2014

### SF7005 FINITE ELEMENT METHOD AND APPLICATIONS Syllabus | Anna University Regulation 2013 ME Soil Mechanics and Foundation Engineering First Year Second Semester Syllabus

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### Anna University Syllabus

SF7005 FINITE ELEMENT METHOD AND APPLICATIONS Syllabus | Anna University Regulation 2013 ME Soil Mechanics and Foundation Engineering First Year Second Semester Syllabus.  Below is the Anna University 2013 Regulation Syllabus for 2nd Semester for Soil Mechanics and Foundation Engineering, Textbooks, Reference books, Exam portions, Question Bank, Previous year question papers, Model question papers, Class notes, Important 2 marks, 8 marks, 16 marks topics.
It is applicable for all students admitted in the Academic year 2013-2014 onwards for all its Affiliated institutions in Tamil Nadu.

### OBJECTIVES:

 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.

UNIT I BASIC CONCEPTS 9 Introduction – 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.

UNIT II DISPLACEMENT MODELS 9 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.

UNIT III ISOPARAMETRIC FORMULATION 8 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.

UNIT IV GEOTECHNICAL CONSIDERATION 9 Introduction – 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.

UNIT V APPLICATION IN GEOTECHNICAL ENGINEERING 10 Use of FEM to problems in soils – description and application to consolidation – seepage - FEM to simulate soil – structure interaction problems – software package use for simulating and analyzing the real foundation problem using FEM such as footing, pile foundation and deep excavations. TOTAL: 45 PERIODS

OUTCOME
 Students will have the capacity to use advanced numerical techniques like FEM in various Geotechnical Engineering applications and in a capacity to use FEM based software programs for arriving solutions to various practical design problems in Geotechnical Engineering.
REFERENCE BOOKS
1. Concepts and applications of finite element analysis by Cook, R.D., Malkus, D.S., and Plesha, M.E., John Wiley, New York., 1989.
2. Introduction to the finite element method by Desai and Abel, Van Nostrand Reinhold Company, New York, 1972.
3. Finite element analysis Theory and Programming by Krishnamoorthy.C.S., Tata McGraw-Hill, New Delhi, 1990. 4. Finite element in geotechnical engineering by Naylor, Pande, Simpson and Tabb., Pineridge Press Ltd, Swansea, U. K, 1981.
5. The Finite Element Method by Zienkiewicz, O.C., 3rd Edition, Tata McGraw-Hill publishing Co., New Delhi, 1983.
6. Finite element analysis in geotechnical engineering – theory by Potts, D.M. and Zdravkovic, L., Published by Thomas Telford, London, 1999.
7. An introduction to the finite element method by Reddy, J.N., McGraw Hill, New York, 1984.
8. The Finite Element Methods in Engineering by Rao, S.S., Pergamon, New York, 1998.
9. Soil-machine introduction – A finite element perspective by Shen, J. and Kushwahs, R.L., Moral Dikker, Inc., 1998.

10. Programming the Finite Element Method with application to Geomechanics by Smith, I.M., John Wiley and Sons, New Delhi, 2000.