330-0326/01 – Finite Element Method and Boundary Element Method (MKPMHP)

Gurantor departmentDepartment of Applied MechanicsCredits4
Subject guarantordoc. Ing. Radim Halama, Ph.D.Subject version guarantordoc. Ing. Radim Halama, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year3Semesterwinter
Study languageCzech
Year of introduction2015/2016Year of cancellation2019/2020
Intended for the facultiesFS, USPIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
FUS76 doc. Ing. Martin Fusek, Ph.D.
HAL22 doc. Ing. Radim Halama, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+3

Subject aims expressed by acquired skills and competences

Student completing the course will be able to: - Build a model describing the behavior of of elastic body (system). - Implement the solution of the model one of the methods described above. - Evaluate and draw conclusions.

Teaching methods

Lectures
Tutorials

Summary

The course extends the foundation for the use of finite element methods and explains important aspects of the application and implementation of the Boundary Element Method. It formulates the nonlinear continuum mechanics. It contains general formulations of continuum mechanics, the basics of linearization, finally the application of FEM and BEM to specific types of linear and nonlinear elasticity tasks.

Compulsory literature:

[1] BEER, G., WATSON, J.O. Introduction to Finite and Boundary Element Methods for Engineers. John Wiley & Sons, 1992. 509 p. ISBN 0 471 92813 5.

Recommended literature:

[1] BEER, G., SMITH, I., DUENSER, Ch.: The Boundary Element Method with Programming for Engineers and Scientists. Springer, 2008. 494 p. ISBN 978-3-211-71574-1.

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

This course is a continuation of the subject Numerical methods.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Repetition of basic knowledge and concepts of continuum mechanics of solid bodies. 2. Problems of modeling in continuum mechanics. Analytical and numerical solutions. Finite difference method. 3. Finite Element Method - basic idea, solving basic equations, applications to problems of temperature and stress fields for linear tasks. Stationary and non-stationary problems. 4. Finite elements - reference elements, Gauss integration errors and adaptive techniques in the application of FEM. The issue of convergence. 5. Boundary Element Method - basic idea, the differences between the FEM and the BEM, solving basic equation, fundamental solution to the issue of the application of temperature and stress fields for linear tasks. Stationary and non-stationary problems. 6. Boundary Element Method - discretisation and boundary element types. System of equations assembly. Application of boundary conditions. Solution. 7. Boundary Element Method - a generalized formulation of BEM - method of weighted residuals. 8. Selected practical examples solved using FEM and BEM. A comparative study. 9. The possibilities of coupling of FEM and BEM. 10. Nonlinear problems - Introduction to nonlinearities (geometric, material and contact nonlinearities). Possible solutions.

Conditions for subject completion

Full-time form (validity from: 2016/2017 Winter semester, validity until: 2019/2020 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  20
        Examination Examination 65  16
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2018/2019 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 3 Choice-compulsory study plan
2017/2018 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 3 Choice-compulsory study plan
2016/2017 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 3 Choice-compulsory study plan
2015/2016 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 3 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner