Solution of Basic Problems of Solids Mechanics by FEM
FSI-6KPAcad. year: 2020/2021
Students during lectures become familiar with the theoretical foundations of the finite element method, with the essence of numerical computational modelling and with fundamental practical knowledge, which are applied to typical problems of solid mechanics. Practical tasks are divided by 1D, 2D, and 3D level of geometry. Dominantly, the subject is focused on linear static structural analysis, but also an introduction to dynamic analyses and analyses of heat conduction will be presented. The above will be practiced in the ANSYS Workbench computing software. The necessary knowledge of the subject is: 1) ability to work with ANSYS Workbench software, 2) understanding of the correct level of the computational model (inclusion of essential variables), 3) analysis/assessment/verification of the obtained results, 4) theoretical basement of FEM.
Learning outcomes of the course unit
Students gain basic theoretical and practical knowledge of the Finite Element Method. They learn how to use it for solving continuum mechanics problems in complicated two- and three dimensional regions. The acquired knowledge is applicable in all areas of solid and fluid continuum mechanics, for students of all branches of engineering study.
Matrix notation, linear algebra, function of one and more variables, calculus, elementary dynamics, elasticity and thermal conduction.
Recommended optional programme components
Recommended or required reading
Zienkiewicz, O. C., et al. Finite Element Method For Solid & Structural Mechanics. Elsevier India 7th edition, 2014. ISBN-10: 9789351072829 (EN)
Moaveni, S. Finite Element Analysis: Theory and Applications with ANSYS. Prentice Hall, 2nd edition, 2003 (EN)
ANSYS User's Manuals (EN)
DESAI, Chandrakant S a Tribikram KUNDU. Introductory finite element method. Boca Raton: CRC Press, 2001, 496 s. : il. ISBN 0-8493-0243-9. (EN)
Planned learning activities and teaching methods
The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.
Assesment methods and criteria linked to learning outcomes
The graded course-unit credit requirements :
- active participation in seminars,
- good results in the written test of basic knowledge,
- individual preparation and presentation of seminar assignments.
Language of instruction
The objective of the course is to present theoretical background of FEM and its practical application to various problems of continuum mechanics. Practical training is done with the commercial FE system ANSYS, which is frequently used at universities, scientific institutions and industrial companies worldwide.
Specification of controlled education, way of implementation and compensation for absences
Attendance at practical training is obligatory. Attendance is checked systematically by the teachers, as well as students’ active participation in the seminars and fundamental knowledge. Unexcused absence is the cause for not awarding the course-unit credit.
Classification of course in study plans
- Programme B3A-P Bachelor's
branch B-FIN , 3. year of study, summer semester, 4 credits, elective
- Programme B3S-P Bachelor's
- Programme M2A-P Master's
branch M-MAI , 1. year of study, summer semester, 4 credits, elective
Type of course unit
26 hours, optionally
Teacher / Lecturer
1. Introduction to finite element method.
2. Beam elements. Truss structure.
3. Beam elements. Frames.
4. Plane elements. Plane stress, plane strain and axisymmetric.
5. Theory of finite element method.
6. Solid and shell elements.
7. Creation of mesh, control of mesh density, influence of discretization on results.
8. Solution of dynamic problems - modal, harmonic and transient problems.
9. Introduction to program system ABAQUS.
10. Thermal conduction problems in ANSYS.
11. Programming macro (APDL).
12. Basic knowledge on the "art of modelling".
13. Hardware for FEM jobs.
26 hours, compulsory
Teacher / Lecturer
1. Introduction of ANSYS Workbench.
2. Beam element. Truss.
3. Beam element. Beams, frames.
4. Plane elements (plane-stress and plane-strain).
5. Plane elements (axisymmetric body).
6. Solid and shell elements.
7. Steady-state thermal analysis.
8. Finding natural frequencies and mode shapes.
9. Solving of a given project under the supervision of lecturer.
10. Solving of a given project under the supervision of lecturer.
11. Solving of a given project under the supervision of lecturer.
12. Solving of a given project under the supervision of lecturer.
13. Presentation of project work by students.
eLearning: currently opened course