After completing the course, the student shall;

- display knowledge of basic principles of nonlinear FEA, in particular the disciplines of contact mechanics and plasticity
- display knowledge of understanding for derivations of FEA methods from governing equations.

- demonstrate the ability to perform nonlinear FEA of real engineering
problems such that a drop test or sheet metal forming
- demonstrate the ability to read a scientific paper within the field of nonlinear FEA
without any need for understanding of the details.

- demonstrate the ability to suggest appropriate analysis for different types of problems
- demonstrate the ability to judge and criticise results from a finite analysis.

The course includes the following topics:
- Strong and weak formulations of a one-dimensional problem.
- Finite element formulations, (strong and weak formulations),
iso-parametric formulation, numerical integration.
- Linear elasticity, continuum mechanics, stress, strain, balance laws, Eulerian and Lagrangian formulations.
- Contact mechanics, Signorini’s contact conditions, trial and error approach, penalty
formulation, augmented Lagrangian formulation, Newton’s method, the
KKT-conditions.
- Plasticity, associative plasticity, the principle of maximal dissipation, J2-plasticity,
radial return, isotropic hardening.
- Projects and tutorial using Matlab and Abaqus.

Föreläsningar och datorövningar.

Undervisningen bedrivs på engelska.

Examen om minst 180 hp med lägst 90 hp inom huvudområdet Maskinteknik samt 21 hp Matematik, varav minst 6 hp flerdimensionell matematisk analys dessutom krävs Engelska 6/Engelska B eller motsvarande

Kursen bedöms med betygen 5, 4, 3 eller Underkänd.

Examinationsmoment	Omfattning	Betyg
Tentamen1	5 hp	5/4/3/U
Projektarbete	1 hp	U/G

¹ Bestämmer kursens slutbetyg vilket utfärdas först när samtliga moment godkänts.

Lecture notes, distributed digitally.