Course detail

FEM in Engineering Computations

FSI-9MKPAcad. year: 2024/2025

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.

Language of instruction

Czech

Mode of study

Not applicable.

Guarantor

prof. Ing. Jindřich Petruška, CSc.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Entry knowledge

Matrix notation, linear algebra, function of one and more variables, calculus, differential equations, elementary dynamics, elasticity, thermal conduction and fluid flow problems.

Rules for evaluation and completion of the course

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.
Active participation in the course is controlled individually according to the progression of the semestral project.

Aims

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.
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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

K.-J.Bathe: Finite Element Procedures, K.-J.Bathe, 2014 (EN)
 Zienkiewicz, O. C., Taylor, R. L., The Finite Element Method for Solid and Structural Mechanics, Elsevier, 2013 (EN)
Nonlinear Finite Elements for Continua and Structures: Nonlinear Finite Elements for Continua and Structures. J.Wiley, New York, 2000 (EN)

Recommended reading

J.Petruška: MKP v inženýrských výpočtech http://www.umt.fme.vutbr.cz/images/opory/MKP%20v%20inzenyrskych%20vypoctech/RIV.pdf
V.Kolář, I.Němec, V.Kanický: FEM principy a praxe metody konečných prvků, Computer Press, 2001
Z.Bittnar, J.Šejnoha: Numerické metody mechaniky 1, 2. Vydavatelství ČVUT, Praha, 1992

Elearning

eLearning: currently opened course

Classification of course in study plans

  • Programme D-APM-P Doctoral 1 year of study, winter semester, recommended course
  • Programme D-ENE-P Doctoral 1 year of study, winter semester, recommended course
  • Programme D-IME-P Doctoral 1 year of study, winter semester, recommended course
  • Programme D-APM-K Doctoral 1 year of study, winter semester, recommended course
  • Programme D-ENE-K Doctoral 1 year of study, winter semester, recommended course
  • Programme D-IME-K Doctoral 1 year of study, winter semester, recommended course

Type of course unit

 

Lecture

20 hod., optionally

Teacher / Lecturer

prof. Ing. Jindřich Petruška, CSc.

Syllabus

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

eLearning: currently opened course