CC7101 FINITE ELEMENT APPLICATIONS IN MANUFACTURING ENGINEERING

CC7101 FINITE ELEMENT APPLICATIONS IN MANUFACTURING ENGINEERING 

UNIT I INTRODUCTION: 

Basics of FEM – Initial value and boundary value problems – wighted residual Galerkin ands Raleigh Ritz methods – review of Variational calculus – Integration by parts – Basics of variational formulation. 

UNIT II ONE DIMENSIONAL ANALYSIS:

Steps in FEA – Discretization, function – derivation of element characteristics 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 

Global and Natural Co-ordinates – Shape functions for one and two dimensional elements – Three noded triangular and four noded quadrilateral element – Non linear analysis – Isoparametric elements – Jacobian matrices and transformations – Basics of two dimensional axi symmetric analysis. 

UNIT IV 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 – Solid and flow formulation – small incremental deformation formulation – FE Analysis of metal cutting, chip separation criteria, incorporation of strain rate dependency. 

UNIT V COMPUTER IMPLEMENTATION 

Pre Processing, Mesh generation, elements connectivity, boundary conditions, input of material and processing characteristics – Solution and post processing – Overview of application packages such as ANSYS and DEFORM – Development of code for one dimensional analysis and validation. 

TEXT BOOKS: 

1. Reddy, J.N, “An Introduction to the Finite element Method”, McGraw – Hill, 1985. 2. Rao, “Finite Element Method in Engineering”, Pergammon Press, 1989.

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.