Numerical methods and techniques for solving initial boundary value problems in solid mechanics (heat conduction, static and dynamic mechanics problems of solids and structures). Finite difference methods, indirect and direct techniques, variational methods, finite element (FE) method, FE analysis in small strains for applications in structural mechanics and solid mechanics.
Lernziel
To understand the concepts and application of numerical techniques for the solution of initial boundary value problems in solid and structural mechanics, particularly including the finite element method for static and dynamic problems.
Inhalt
1. Introduction, direct and indirect numerical methods. 2. Finite differences, stability analysis. 3. Variational methods. 4. Finite element method. 5. Structural elements (bars and beams). 6. 2D and 3D solid elements (isoparametric and simplicial elements), numerical quadrature. 7. Assembly, solvers, finite element technology. 8. Dynamics, vibrations. 9. Selected topics in finite element analysis.
Skript
Lecture notes will be provided. Students are strongly encouraged to take their own notes during class.
Literatur
No textbook required; relevant reference material will be suggested.
