Required Text: T.R. Chandrupatla/ A.D. Belegundu, "Introduction to Finite Elements in Engineering", Prentice Hall, 1997.

Recommended Text: R.D. Cook/D.S. Malkus/M.E. Plesha, "Concepts and Applications of Finite Element Analysis", John Wiley & Sons, New York 1989.

Week 1: Introduction, Systems of linear equations

Week 2: One dimensional problems, Variational Formulations

Week 3: Design of a simple FE computer program

Week 4: Plane truss analysis

Week 5: Space truss analysis

Week 6: Beam analysis

Week 7: Analysis of lane frame problems

Week 8: Shape functions for 1-dim. Problems, Numerical Integration

Week 9: Triangular elements, Shape functions, Numerical Integration

Week 10: Quadrilateral elements, The isoparametric formulation, Shape functions, Numerical Integration

Week 11: Plane strain and plane stress problems

Week 12: Coordinate transformations

Week 13: Plane strain and plane stress problems, The patch test

Week 15: Axisymmetric problems, 3-dim. Solid problems

Week 15: Example Element for the Laplace equation

Week 16: Example Element for the Helmholtz equation

Aims of the class: Understanding the concept of the Finite Element Method; writing a simple FE-program; being able to develop a finite element, to implement and test it.

Exams in weeks 6, 11, 16 (flexible dates).

Exam 1: 15%

Exam 2: 15%

Exam 3: 15%

Homework: 45%

Questions on homework: 10%

A+….>95%, A….90-95%, B+….85-90%, B….80-85%,

C+….75-80%, C….70-75%, D+….65-70%, D….60-65%,

F….<60%

J.E. Akin, "Finite Elements for Analysis and Design", Pbk ed. (includes software disk), Academic Press, London, New York, 1994

N. Ottosen/H. Petersson, "Introduction to the Finite Element Method", Prentice Hall, New York, London, 1992.

J.H. Reddy, "An Introduction to the Finite Element Method", McGraw Hill, New York, 1992.

O.C. Zienkiewics/R.L. Taylor, "The Finite Element Method", Vol. 1/2, McGraw Hill, London, New York, 1989.

J.E. Akin, "Application and Implementation of Finite Element Methods", TA 347.F5 A34 1982

R.D. Cook, "Concepts and Applications of Finite Element Analysis", TA 646.C66 1981.

R.D. Cook, "Finite Element Modeling for Stress Analysis", TA 347.F5.C665 1995.

Y.C. Pao, "A First Course in Finite Element Analysis", TA 347.F5.P26 1986.

O.C. Zienkiewics/R.L. Taylor, "The Finite Element Method", Vol. 1, TA 640.s.Z5 1989 v.1

International Journal for Numerical Methods in Engineering

Computer Methods in Applied Mechanics and Engineering

Engineering Computations

Computational Mechanics

Computers and Structures