FEM in Engineering Computations (FSI-9MKP)

Academic year 2020/2021
Supervisor: prof. Ing. Jindřich Petruška, CSc.  
Supervising institute: ÚMTMB all courses guaranted by this institute
Teaching language: Czech
Aims of the course unit:
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.
Learning outcomes and competences:
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.
Prerequisites:
Matrix notation, linear algebra, function of one and more variables, calculus, differential equations, elementary dynamics, elasticity, thermal conduction and fluid flow problems.
Course contents:
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.
Teaching methods and criteria:
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.
Controlled participation in lessons:
Active participation in the course is controlled individually according to the progression of the semestral project.
Type of course unit:
    Lecture  10 × 2 hrs. optionally                  
Course curriculum:
    Lecture 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
Literature - fundamental:
1.  Zienkiewicz, O. C., Taylor, R. L., The Finite Element Method for Solid and Structural Mechanics, Elsevier, 2013
2. K.-J.Bathe: Finite Element Procedures, K.-J.Bathe, 2014
3. Nonlinear Finite Elements for Continua and Structures: Nonlinear Finite Elements for Continua and Structures. J.Wiley, New York, 2000
Literature - recommended:
1. Z.Bittnar, J.Šejnoha: Numerické metody mechaniky 1, 2. Vydavatelství ČVUT, Praha, 1992
2. J.Petruška: MKP v inženýrských výpočtech http://www.umt.fme.vutbr.cz/images/opory/MKP%20v%20inzenyrskych%20vypoctech/RIV.pdf
3. V.Kolář, I.Němec, V.Kanický: FEM principy a praxe metody konečných prvků, Computer Press, 2001
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
D-ENE-P full-time study --- no specialisation -- DrEx 0 Recommended course 3 1 W
D-IME-P full-time study --- no specialisation -- DrEx 0 Recommended course 3 1 W
D4P-P full-time study D-APM Applied Mathematics -- DrEx 0 Recommended course 3 1 W
D-APM-K combined study --- -- DrEx 0 Recommended course 3 1 W