MF4003 Finite Element Methods for Manufacturing Engineering Syllabus:

MF4003 Finite Element Methods for Manufacturing Engineering Syllabus – Anna University PG Syllabus Regulation 2021

OBJECTIVES:

(1) To familiarize the students with fundamentals of finite element method,
(2) To study the fundamentals of one dimensional and two dimensional problems using FEA in manufacturing.
(3) Acquaint students with finite element formulations and theories
(4) Develop the ability to perform finite element analyses and evaluate the results of a select set of manufacturing processes,
(5) Provide exposure to practical problems and their solutions, through simulations using the finite element software

UNIT I INTRODUCTION

Fundamentals – Initial, boundary and eigen value problems – weighted residual, Galerkin and Rayleigh Ritz methods – Integration by parts – Basics of variational formulation – Polynomial and Nodal approximation.

UNIT II ONE DIMENSIONAL ANALYSIS

Steps in FEM – Discretization. Interpolation, derivation of elements characteristic matrix, shape function, assembly and imposition of boundary conditions-solution and post processing – One dimensional analysis in solid mechanics and heat transfer.

UNIT III SHAPE FUNCTIONS AND HIGHER ORDER FORMULATIONS

Shape functions for one and two dimensional elements- Three nodded triangular and four nodded quadrilateral element Global and natural co-ordinates—Nonlinear analysis – Isoparametric elements – Jacobian matrices and transformations – Basics of two dimensional, plane stress, plane strain and axisymmetric analysis.

UNIT IV COMPUTER IMPLEMENTATION

Pre Processing, mesh generation, elements connecting, boundary conditions, input of material and processing characteristics – Solution and post processing – Overview of application packages – Development of code for one dimensional analysis and validation

UNIT V ANALYSIS OF PRODUCTION PROCESSES

FE analysis of metal casting – special considerations, latent heat incorporation, gap element – Time stepping procedures – Crank – Nicholson algorithm – Prediction of grain structure – Basic concepts of plasticity and fracture – Solid and flow formulation – small incremental deformation formulation – Fracture criteria – FE analysis of metal cutting, chip separation criteria, incorporation of strain rate dependency – FE analysis of welding.

OUTCOMES :

At the end of this course the students are highly confident in
(1) Fundamentals of Finite Element Methods.
(2) Perform one dimensional and Two-dimensional analysis using FEA
(3) Perform finite element formulations to solve problems
(4) perform finite element analyses and evaluate the results of a select set of manufacturing processes,
(5) Provide simulations through FE Software

REFERENCES:

1. Bathe, K.J., Finite Element procedures in Engineering Analysis, 1990
2. Kobayash,S, Soo-ik-Oh and Altan,T, Metal Forming and the Finite Element Methods, Oxford University Press, 1989.
3. Lewis R.W. Morgan, K, Thomas, H.R. and Seetharaman, K.N. The Finite Element Method in Heat Transfer Analysis, John Wiley, 1994.
4. Rao, S.S., Finite Element method in engineering, Pergammon press, 2005.
5. Reddy, J.N. An Introduction to the Finite Element Method, McGraw Hill,2005.
6. Seshu P., Textbook of Finite Element Analysis, PHI Learning Pvt. Ltd, 2004.
7. www.pollockeng.com
8. www.tbook.com