330-0903/03 – Finite Element Method in Mechanics (MKPME)

Gurantor departmentDepartment of Applied MechanicsCredits10
Subject guarantordoc. Ing. Zdeněk Poruba, Ph.D.Subject version guarantordoc. Ing. Zdeněk Poruba, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesUSP, FS, FEIIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
FUS76 doc. Ing. Martin Fusek, Ph.D.
POR05 doc. Ing. Zdeněk Poruba, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 25+0
Combined Examination 25+0

Subject aims expressed by acquired skills and competences

Students will extend and make deeper their theoretical knowledge of the background of FEM and the numerical procedures that lead to the practical use of the method. Especially the problematics of solving nonlinear tasks will be deepen.

Teaching methods

Individual consultations
Project work


The subject deepens basic knowledge from the area of computational modeling by finite element method and focuses especially on geometrical, material and structural nonlinearities and further on advanced issues, e.g. FSI - Fluid Structure Interaction. The teaching process is realized both in theoretical and practical level on examples from technical practice.

Compulsory literature:

Cook R. D., Malkus D.S., Plesha M.E., Witt R.J. CONCEPTS AND APPLICATIONS OF FINITE ELEMENT ANALYSIS. 4th edition. J. Wiley & Sons, Inc. NY, 2002, p. 719, ISBN 0-471-35605-0 REDDY, J.N., An Introduction Nonlinear Finite Element Analysis, Oxford University Press, 2004, p. 463, ISBN 0-19-852529-X WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN 3-540-67747 BHATTI,M.A., Advanced Topics in Finite Element Analysis of Structures: with Mathematica and Matlab Computations, Wiley, 2006, p.590, ISBN-13 978-0-471- 64807-9

Recommended literature:

Examples for ANSYS solutions: http://www.mece.ualberta.ca/tutorials/ansys/ Zhi-Hua Zhong. Finite Element Procedures for Contact-Impact Problems. Oxford University Press, 1993, p. 371, ISBN 0-19 856383-3 WRIGGERS, P., Nichtlineare Finite-Element Metoden, Springer, 2005, p. 495, ISBN 3-540-67747

Way of continuous check of knowledge in the course of semester

The workout of the individual project on the given theme.


Další požadavky na studenta

Adequate appropriate knowledge in the area of finite element method.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Variational Methods. Principle of stationary potential energy. Potential energy of an elastic body. Bar and Beam Elements. Shape functions. Stiffness matrix. Boundary conditions. Applied mechanical loads. Equilibrium equations. Stresses. Solution of equations. Basic Elements. Stress-strain relations. Interpolation and shape functions. Linear triangle. Rectangular solid elements. Numerical integration. One, two and three dimension applications. Elasticity relations. FEM in Structural Dynamics. Dynamic equation. Mass and damping matrices. Natural frequencies and mode shapes, solutions method. Response History. Modal methods. Harmonic response. Direct integration methods-explicit or implicit.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2019/2020 (P0613D140020) Computational Science P Czech Ostrava Choice-compulsory type B study plan
2019/2020 (P0613D140020) Computational Science K Czech Ostrava Choice-compulsory type B study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner