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Förslaget inkom 2009-11-27

Efficiency of drilling rotations in finite shell elements

OBS! ANSÖKNINGSTIDEN FÖR DETTA EXJOBB HAR LÖPT UT.
Shell elements are widely used in structural engineering to perform finite element analyses. One crucial issue for these elements is the implementation of a third in plane rotation at each node, called drilling rotation. Without this drilling rotation, the element has only two rotations at each node, which makes the modeling of angles and connections in structures difficult. Several methods can be used to introduce the drilling rotations, e.g. by using artificial springs or advanced shape functions.

The first purpose of this master thesis is to investigate how these drilling rotations are implemented in the shell elements proposed in the commercial finite element software ANSYS, ABAQUS and LUSAS. The ability of these elements in modeling angles and connections in structures will be tested using well chosen examples.

The second purpose of this master thesis is to study triangular three-noded shell elements consisted of the superposition of a plate and a membrane part. For such elements, the drilling rotations can be introduced in a very accurate way. However, these elements are sometimes unjustly criticized in the literature and the objective is to assess their performance using numerical examples.

This master project is suitable for a student interested in both the theory of finite elements and the practical modeling of structures using finite elements. Basic knowledge in the topic is a requirement.

For more information, please do not hesitate to contact us.

Jean-Marc Battini, Lecturer, jean-marc.battini@sth.kth.se
Costin Pacoste, Adjunct Professor, costin.pacoste@elu.se



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