CM4005 Finite Element Analysis in Manufacturing Engineering Syllabus:

CM4005 Finite Element Analysis in Manufacturing Engineering Syllabus – Anna University PG Syllabus Regulation 2021

OBJECTIVES:

 To equip students with fundamentals of finite element principles.
 To impart knowledge on solving 2 dimensional finite element problems.
 To develop finite element model for the field problems.
 To introduce non-linear analysis and its computational methods.
 To emphasis on the finite element approach of production processes.

UNIT I GENERAL INTRODUCTION

Historical Background – Mathematical Modeling of field problems in Engineering – Governing Equations – Discrete and continuous models – Boundary, Initial and Eigen Value problems –Variational Formulation of Boundary Value Problems – Ritz Technique –Natural and Essential Boundary conditions – Basic concepts of the Finite Element Method. One Dimensional Second Order Equations – Discretization – element types- Linear and Higher order Elements – Derivation of Shape functions and Stiffness matrices and force vectors – Assembly of Matrices – solution of problems from solid – Structural, stress, and strain analysis – Introduction to beam elements.

UNIT II PROBLEM IN 2D

Second Order 2D Equations involving Scalar& Vector Variables – Variational formulation –Finite Element formulation – Triangular elements – Shape functions and element matrices and vectors. Application to Field Problems in Manufacturing Engineering – Quadrilateral elements. Introduction to elasticity equations – stress strain relations – plane problems of elasticity – element equations Plane stress, plane strain and axisymmetric problems – stress-strain-time or constitutive equations- Introduction to flow problems- solution of problems in fluid mechanics- numerical examples -plates and shell

UNIT III APPLICATIONS TO FIELD PROBLEMS

Higher Order Elements. Natural co-ordinate systems – Isoparametric elements – Shape functions for isoparametric elements – One, two and three dimensions – Serendipity elements – Numerical integration and application to plane stress problems transformation in ξ, η and ζ – coordinates- Jacobian of transformation-order of convergence- numerical integration –example problems- shape functions in natural coordinates- rectangular elements- Lagrange family- Serendipity family- rectangular prismstetrahedral elements

UNIT IV NON-LINEAR ANALYSIS

Introduction to Non-linear problems – some solution techniques- computational procedure- simple material nonlinearity- Plasticity and viscoplasticity, stress stiffening, contact interfaces- problems of gaps and contact- geometric non-linearity- modeling considerations- Impact analysis.

UNIT V ANALYSIS OF PRODUCTION PROCESSES

Application to Bulk forming, sheet metal forming, casting, metal cutting, welding- Features of software packages

OUTCOMES:

CO1: Demonstrate finite element analysis techniques
CO2: Solve 2 dimensional finite element problems.
CO3: Analyze of field problems for shape function
CO4: Determine the computational solution techniques for non linear problems
CO5: Apply finite element analysis techniques to analyse the production processes

REFERENCES

1. Bathe, K.J., “Finite Element Procedures in Engineering Analysis, 1990.
2. Kobayashi, 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, “Finite Element Method in Engineering”, Pergammon Press, 2005.
5. Reddy, J.N, “An Introduction to the Finite element Method”, McGraw – Hill, 2005.