INTRODUCTION TO FINITE ELEMENT METHOD FOR ENGINEERING APPLICATIONS

Transcription

1 3 rd Short Course on INTRODUCTION TO FINITE ELEMENT METHOD FOR ENGINEERING APPLICATIONS 22 nd January 2010 Universiti Teknologi Malaysia Skudai, Johor 1

2 BRIEF CV Mohd Nasir TAMIN Ph.D. Mechanical Engineering and Applied Mechanics, 1996 URI (USA) Professor Department of Applied Mechanics, (UTM) Head, Computational Solid Mechanics Laboratory Research and Engineering Consultation: Applications of Finite Element Method in: - Design of machine components and structures - Fatigue life prediction of NGV compressor components - Reliability stress analysis on solder interconnects Failure analysis of machine component and structures Fatigue damage mechanisms in SiC/Ti MMC Fatigue characterization of TiAl intermetallic alloys Courses delivered: Mechanics of materials Finite element method Applied numerical methods Failure of engineering components and structures Fatigue and fracture mechanics Engineering materials Contact: / taminmn@fkm.utm.my taminmn@gmail.com 2

3 FINITE ELEMENT METHOD (FEM) A numerical method commonly employed for obtaining approximate solutions to a wide variety of problems in engineering and mathematical physics. (Typical) Course objectives of FEM: To describe the concept and fundamental theory of the finite element method. To apply the method to sample problems in engineering mechanics. To give overall view of the method to enable participants to further apply the method for advanced topics of interest. 3

4 FINITE ELEMENT METHOD (FEM) The basic premise of the method is that a solution region can be analytically modeled or approximated by replacing it with an assemblage of discrete elements. At the end of this introductory course, participants should be able to: identify problems that could be solved using FEM select solution region, quantify applied load and boundary conditions list steps in solving structural problems using FEM interpret modeling results of FEM 4

5 Course Content: INTRODUCTION AND PROGRAM OVERVIEW A OVERVIEW OF FEM Modeling, concept of numerical experiment, requirements, modeling capabilities, engineering examples. Computer-aided engineering, finite element method definition, steps in solving problems using FEM, examples. B FORMULATION OF FINITE ELEMENT EQUATIONS Elements and nodes, natural coordinates, interpolation function, formulation of bar elements (1-D), constitutive equations, stiffness matrix, boundary conditions, applied loads, theory of minimum potential energy, formulation for general field problems. C MODELING STEPS IN FEM Illustration of solution procedures, case studies, physical consideration, interpretation and appreciation of results, validation. 5

6 COURSE SCHEDULE 8:30 am Registration 9:00 am Welcome and Opening Remarks 9:15 am Overview of Finite Element Method (FEM) 10:00 am Morning Break 10:30 am Formulation of Finite Element Equations 12:30 pm Lunch break 2:45 pm Modeling Steps in FEM 3:30 pm Afternoon Break 4:00 pm Appreciation and Interpretation of Results 4:45 pm Wrap-up and Closing 6

7 List of Some References Reddy, J.N., An Introduction to the Finite Element Method, McGraw Hill, Huebner, K.H., Thornton, E.A. and Byrom, T.G., The Finite Element Method for Engineers, John Wiley & Sons, Hutton, D.V., Fundamentals of Finite Element Analysis, McGraw Hill, Shigley, J.E., Mechanical Engineering Design, McGraw Hill, Hibbeler, R.C., Mechanics of Materials, 5 th edition, Prentice Hall / Pearson Education, Rao, S.S., Applied Numerical Methods for Engineers and Scientists, Prentice-Hall, Askeland, D.R., The Science and Engineering of Materials, 3 rd edition, PWS Publishing Co., Marks Standard Handbook for Mechanical Engineers, 8 th edition, McGraw Hill, Mechanical Engineer s Reference Book, A. Parrish, ed., 11 th edition, Butterworths & Co., Author s lecture notes used in various subjects (including applied numerical methods, finite element method, mechanics of materials, fatigue and fracture mechanics) taught at the Faculty of Mechanical Engineering, Universiti Teknologi Malaysia. 7

8 LET US BEGIN 8