FEM in Engineering Computations
FSI-9MKPAcad. year: 2020/2021
The course presents the Finite Element Method on the advanced level corresponding to a skilled user, who has the capability of an individual creative work with FEM. The relation between theory and practical FEM programming is explained. Application of the FEM in the areas of engineering analysis connected to the topics of PhD dissertations is presented in theory and practice.
Learning outcomes of the course unit
Students learn how to apply the FEM theory to problems connected with his/her dissetation, including the programming of user subroutines which enhance the capability of commercial FEM packages.
Matrix notation, linear algebra, function of one and more variables, calculus, differential equations, elementary dynamics, elasticity, thermal conduction and fluid flow problems.
Recommended optional programme components
Recommended or required reading
Z.Bittnar, J.Šejnoha: Numerické metody mechaniky 1, 2. Vydavatelství ČVUT, Praha, 1992
Zienkiewicz, O. C., Taylor, R. L., Zhu, J. Z., The Finite Element Method: Its Basis and Fundamentals, Elsevier, 2005 (EN)
V.Kolář, J.Kratochvíl, F.Leitner, A.Ženíšek: Výpočet plošných a prostorových konstrukcí metodou konečných prvků. SNTL Praha, 1979
K.-J.Bathe: Finite Element Procedures. Prentice Hall, 1996 (EN)
C.Kratochvíl, E.Ondráček: Mechanika těles - Počítače a MKP. VUT v Brně, 1987 (skriptum)
Nonlinear Finite Elements for Continua and Structures: Nonlinear Finite Elements for Continua and Structures. J.Wiley, New York, 2000 (EN)
Planned learning activities and teaching methods
The course is taught through lectures explaining the basic principles and theory of the discipline.
Assesment methods and criteria linked to learning outcomes
Final evaluation is based on the ability of active work with a selected FEM system, which is proved by individual preparation and presentation of a semestral project.
Language of instruction
Aim of the course is to gain an advaced level of knowledge of the Finite Element Method, including the understanding of algorithm and procedures of the FEM. Student gains practical competences targeted to the area of his/her topic of dissertation and a general view of the possibilities of commercial FE packages.
Specification of controlled education, way of implementation and compensation for absences
Active participation in the course is controlled individually according to the progression of the semestral project.
Classification of course in study plans
- Programme D-APM-K Doctoral, 1. year of study, winter semester, 0 credits, recommended
- Programme D-IME-P Doctoral, 1. year of study, winter semester, 0 credits, recommended
- Programme D4P-P Doctoral
branch D-APM , 1. year of study, winter semester, 0 credits, recommended
- Programme D-ENE-P Doctoral, 1. year of study, winter semester, 0 credits, recommended
Type of course unit
20 hours, optionally
Teacher / Lecturer
1. Introduction to FEM theory, algorithm, discretisation
2. FEM algorithm, element matrices, assembly of global matrices, program structure
3. Effective methods of solution of large systems of equations
4. Basic element types and their element matrices
5. Isoparametric formulation of elements
6. Thin-walled elements in bending, hermitean shape functions
7. User subroutines and macro in ANSYS and ABAQUS
8. Convergence, compatibility, hierarchical and adaptive algorithms
9. FEM in dynamics, heat conduction, flow problems, transient analysis
10.Explicit solution of transient problems, nonlinear problems
11.FEM application in the area of PhD dissertation, individual work, consultation
12.FEM application in the area of PhD dissertation, individual work, consultation
13.FEM application in the area of PhD dissertation, individual work, consultation
eLearning: opened course