8W100 - Numerical Analysis of Continua II
The course is a follow-up on Numerical Analysis of Continua I. The first course was on geometrically linear problems. The current course is on non-linear problems. Firstly, the focus is on solving fluid mechanics problems. Special elements to solve the Navier Stokes equation, like Crouzeix-Raviart and Taylor-Hood elements will be explained. After that constitutive models for solids at large deformations will be discussed in detail. Objectivity is an important issue. Differences between hypo- and hyper elastic models and the consequences for numerical solution strategies will be treated, resulting in updated and total Lagrangian formulations. In addition, incompressibility, solution of nonlinear visco-elastic problems and the treatment of contact will be discussed.
To teach the student how to solve geometrically and physically nonlinear, time dependent problems with the Finite Element Method.