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.
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.