Non - Linear Finite Element Methods

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The course is given as a 2nd cycle course for MSc.students, and a 3rd cycle course for PhD. students, with slightly different requirements.

The course will discuss some non-linear equilibrium problems commonly encountered in structural mechanics. The course focusses on geometrical non-linearities, which can essentially be seen as large displacements, but often small to moderate strains, so that material non-linearities do not need to be considered. Instabilities of many important kinds, such as buckling, fall within this context. We will briefly mention also other non-linearities like hyper-elasticity, contact, follower forces and multi-physical formulations. Many of the topics covered in the course are relevant for all classes of non-linearities, such as incremental loadings, path-following algorithms and the lacking possibilities to superpose load effects, which also leads to a need for correct and detailed parameters for the computational models.

The course to some extent discusses the usage of generally available FEM software, but practical work in the course will only need Matlab routines, provided or developed. For the course code SG3088, a project should be performed in any available commercial software.

The course is given as 'peer instruction' teaching, where active participation from students is essential for the learning outcome. An important part of this consists of students pre-reading the material for each lecture, preparing for questions and discussions. The chapters and slides pertinent to each lecture  are published under 'Lectures' below.


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