Course title: Finite Element Method

Study: undergraduate program in Mechanical Engineering

Course director: Prof. Dr. Jurica Soric
Hours/Semester: 60
Course type: compulsory
Semester: 7th
 
Course syllabus:
General introduction into finite element methods. Formulation of finite element displacement based method. Derivation of finite element equation: static finite element equation, finite element equation for dynamic analysis. Global finite element formulation, direct stiffness method. Convergence of finite element solutions. Description of finite element computer programs. Natural coordinates: length coordinates, triangular coordinates, tetrahedral coordinates. Interpolation concepts, Langrangian and Hermitian interpolation polynomials. One-dimensional finite elements: basic bar element, basic beam element, higher-order elements. Two-dimensional finite elements: basic triangular element, basic rectangular elements, higher-order finite elements. Three-dimensional finite elements: three-dimensional beam element, tetrahedral elements, hexahedral elements. Axisymmetric elements. Isoparametric finite element formulation. Finite elements for plate bending analysis: nonconforming elements, conforming elements. Finite elements for shell analyses: flat elements, elements for shells of revolution, general shell elements. Locking phenomena in finite element analyses. Methods of numerical integration.
Bibliography:
1.Soric, J.: Finite Element Method. Inženjerski prirucnik (Handbook for Engineers), SŠkolska knjiga, Zagreb 1996, 149-193.( In Croatian)

2.Dawe, D.J., Matrix and finite element displacement analysis of structures, Clarendon Press, Oxford 1984.

3.Zienkiewicz, O.C., Taylor, R.L., The Finite Element Method, Fourth Edition, Volume 1, Mc Graw-Hill, London 1994.

4.Bathe, K-J., Finite Element Procedures, Prentice Hall, New Jersey 1996

5.Krätzig, W.B., Basar,Y., Tragwerke 3, Theorie und Anwendung der Methode der Finiten Elemente, Springer, Berlin 1997.