330-0326/01 – Finite Element Method and Boundary Element Method (MKPMHP)
| Gurantor department | Department of Applied Mechanics | Credits | 4 |
| Subject guarantor | prof. Ing. Radim Halama, Ph.D. | Subject version guarantor | prof. Ing. Radim Halama, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Choice-compulsory |
| Year | 3 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2015/2016 | Year of cancellation | 2019/2020 |
| Intended for the faculties | FS, USP | Intended for study types | Bachelor |
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:
Recommended literature:
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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