ML3006 Modeling and Simulation in Materials Engineering Syllabus:
ML3006 Modeling and Simulation in Materials Engineering Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES:
The main leaning objective of this course is to prepare the students for
1. Getting introduced to the different mathematical concepts related to modeling of materials
2. Acquiring knowledge on solving one dimensional problems related to heat transfer
3. Solving two dimensional problems related to heat transfer
4. Getting introduced to the different software packages and their capabilities in solving material processing problems
5. Understanding the computer applications in physical metallurgy
UNIT I INTRODUCTION TO MODELING AND MATHEMATICAL CONCEPTS
Mathematical modeling, physical simulation, advantages and limitations – Review of differential equations, numerical methods, introduction to FEM, FDM- Governing differential equations of elastic, plastic deformation, fluid flow and heat transfer – basic steps in FEM
UNIT II ONE DIMENSIONAL PROBLEMS
Classical Techniques in FEM – Weighted residual method – Galarkin and Ritz method – Coordinates and shape functions- Potential energy approach –– Assembly of stiffness matrix and load vector – Finite element equations – Quadratic shape functions – Applications to elastic deformation of bar, plane trusses and beam – steady state heat transfer
UNIT III TWO DIMENSIONAL AND AXISYMMETRIC CONTINUUM
Triangular and quadrilateral elements – Natural co-ordinates – Isoparametric formulation- 2D shape functions – Element stiffness matrix – Force vector – Solution procedure, Gaussian elimination and Cholskey decomposition techniques – Axisymmetric formulation – Boundary conditions – Applications in 2D elastic deformation and heat transfer problems.
UNIT IV SOFTWARE PACKAGES
Introduction to standard software packages – General purpose FEA packages– Special purpose packages for simulation of rolling, forging and casting simulations. – Applications of FEA in simulation of sheet metal and bulk forming, solidification of casting and weldment, Concepts of coupled analysis
UNIT V COMPUTER APPLICATIONS IN PHYSICAL METALLURGY
Use of computers for the construction of phase diagrams, Expert system for alloy design and selection of materials – computer applications in crystallography
TOTAL: 45 PERIODS
COURSE OUTCOMES:
Upon Completion of the course, the students will be able to
1. Apply numerical techniques to a variety of materials process including solidification, heat treatment, grain from the recovery stabilization
2. Solve one dimensional problems related to heat transfer
3. Solve two dimensional problems related to heat transfer
4. Able to evaluate the capabilities and limitation of commercial software
5. Explain the computer applications in physical metallurgy
TEXT BOOKS
1. AMIE, “Modeling of casting and welding process”, Volume I & II, the Metallurgical society of AMIE, 1981&1983
2. Reddy J. N., “An Introduction to Finite Element Method”, McGraw-Hill International Student Edition, 1985
REFERENCES
1. Cerjak H., “Mathematical Modeling of Weld Phenomenon-2”, The Institute of Materials, 1995
2. Cerjak H., “Mathematical Modeling of Weld Phenomenon-2”, The Institute of Materials, 1995
3. Piwonoka T.S., Vollen V., Katgerman l., “Modeling of Casting, Welding, and Advanced Solidification Process”, 4th edition, TMS-AIME, USA, 1993
4. Stocks G.M., Turchi P.E.A., “Alloy Modeling and Design”, the Metals Society, AMIE, USA, 1994
5. Trivedi R., Sekhar J.A., Majumudar J., “Principles of Solidification and Material Processing”, Volume I&II, Oxford and IBH, New Delhi, 1989