Course Details
Subject {L-T-P / C} : CE3206 : Finite Element Method { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Subhajit Mondal
Syllabus
UNIT I: Mathematical Back ground of required for Finite Element Method:
Vector Matrix tensor rank of matrix transpose of force displacement Vector Basic matrix operations difference between Matrix and Determinate Multiplication of Matrix, Inversion of Matrix Solution of linear equations, Properties of Stiffness matrix, Flexibility Matrix ill- condition matrix, Rigid body motion etc.
UNIT II: Approximate Solution:
Introduction, Boundary value problems and solution methods, Direct approach – example, advantage and limitations. Strong form and weak form, Method of weighted residuals, Rayleigh-Ritz method etc.
UNIT III: Finite Element Formulation of Truss and Beam element
Stiffness Matrix of Spring and Bar Element Energy Approach Derivation of Shape Functions for a truss element and Beam element
UNIT IV: Finite element Formulation of Plate Element
Plane Stress Elements CST and LST Elements Rectangular Plane Stress Elements Area Coordinates Isoparametric Elements Plate Bending Elements etc.
Unit V: Finite element formulation for static, dynamic and buckling analysis
Modal analysis, Transient Analysis and buckling of structure in finite element framework
Unit VI: Use of Finite Element for Computer Application
Implementations of ABAQUS for all finite element program related homework and for the projects. Static Analysis of Beam, modal Analysis, buckling of structural member etc. Modelling of composite structure, Stress concentration etc. will be modelled in ABAQUS.
Course Objectives
- Student will learn modern analysis techniques used widely in engineering practice
- Student will learn to solve structural problem involving truss, beam, plate etc and also check the accuracy of model
- Student will capitalize the knowledge of mechanics to solve real life problems such as bridge, building etc. using FEM on the computer.
- Students will be able to coding implement the FEM to do research
Course Outcomes
Enabling students to understand the finite element method and its application to various structural engineering problems.
Essential Reading
- D. L. Logan, A First Course in the Finite Element Method, Thomson
- D. V. Hutton, Fundamentals of Finite Element Analysis, McGraw-Hill
Supplementary Reading
- A. J. M. Ferreira, Matlab Codes for Finite Element Analysis, Springer
- R. D. Cook, D. S. Malkus and M. E. Plesha, Concepts and Applications of Finite Element Analysis, John Wiley & Sons