Finite Element Method

1. The first issue of modeling, analytical and numerical approaches to solving problems
2. Revision of mathematics necessary for further study (vectors, matrices, solving systems of equations, transformation)
3. Numerical Mathematics (interpolation, approximation, solving systems of equations, errors).
4. Revision of basic knowledge of mechanics (statics, kinematics, dynamics, flexibility and strength)
5. The Finite Element Method - FEM history and its applications in biomechanics, basic ideas, direct stiffness method (introduction).
6. Direct stiffness method (completion).
7. Variational formulation of the problem of elasticity - the principle of minimum potential energy
8. General formulation of FEM - Analysis of elements
9. General formulation of FEM - structural analysis
10. Types of elements and their use
11. Steady and unsteady problems solved by FEM (static analysis, stability)
12. Steady and unsteady problems solved by FEM - (modal analysis, transient analysis)
13. Introduction to nonlinear FEA Thermal analysis by FEM, Coupled problems.
14. Application Notes - using FEM for solving problems of biomechanics.