330-0536/01 – Numerical Methods of Mechanics III (MKPIII)
| Gurantor department | Department of Applied Mechanics | Credits | 5 |
| Subject guarantor | doc. Ing. Martin Fusek, Ph.D. | Subject version guarantor | doc. Ing. Martin Fusek, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2021/2022 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Teach a students the basic procedures for solving of ground technical problems of continuum mechanics. Ensure understanding of teaching problems. To learn the students if they can apply gained theoretical peaces of knowledge in praxis.
Teaching methods
Lectures
Tutorials
Summary
The course follows the course Numerical Methods of Mechanics II. Extends the basics for the use of the finite element method in technical practice to the problem of stationary and non-stationary problems in the field of nonlinear mechanics. Furthermore, other numerical methods usable in problems of mechanics of flexible bodies will be discussed.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Elaboration and defense of the project.
Combined exam.
E-learning
Other requirements
There are no further requirements for the student.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Introduction, revision (numerical methods, modeling, linear continuum mechanics)
2. Finite element method, Finite difference method, Boundary element method - repetition of knowledge
3. Nonlinear mechanics and types of nonlinearity in mechanics - introduction
4. Methods of solving nonlinear problems - Newton-Rhapson method, Arc length method
5. Nonlinear geometries (large displacements, large deformations) - introduction, examples and their possible solutions
6. Nonlinearities geometric (large displacements, large deformations) - numerical solution
7. Material nonlinearities. - introduction, possibilities of solution
8. Material nonlinearities. - numerical solution
9. Nonlinearities of state, contact problems
10. Nonlinearities of state, contact problems. - numerical solution
11. Stability problems - linear and nonlinear loss of shape stability, introduction
12. Stability problems - numerical solution
13. Other numerical methods in continuum mechanics (MFD, MHP, mesh free methods)
14. Solving large problems (supercomputing)
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction