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Förslaget inkom 2007-04-11

Corotational plane and solid elements

OBS! ANSÖKNINGSTIDEN FÖR DETTA EXJOBB HAR LÖPT UT.
The corotational approach is a relatively new way of deriving efficient non-linear elements for large displacements but small strains problems. The main idea of the approach is to decompose the motion of the element into rigid body and pure deformational parts and to use a linear formulation to represent the deformational part. The corotational approach has been mainly used to derive beam and shell elements. The purpose of the two Master thesis projects presented below is to use the corotational method to implement and test plane and solid elements.

These two projects are suitable for students interested in the theory of finite elements. Previous background in this area is a requirement. One very interesting aspect with these two projects is the possibility to learn about non-linear finite elements.

MATLAB will be use to implement and test the elements.



Project 1: Corotational isoparametric 2D element

A corotational isoparametric 4 noded plane element has been already implemented. The purpose of this project is to implement and test a corotational isoparametric 8 noded plane element. Several possibilities for the choice of the local system are also to be tested. The main objective is to compare the numerical performances of the developed element with the ones of a classical non-linear isoparametric element based on Green-Lagrange strains.



Project 2: Corotational rectangular 3D element

The purpose of this project is to implement and test corotational rectangular solid elements with 8 and 20 nodes. The main objective is to compare the numerical performances of the developed elements with the ones of classical non-linear rectangular solid elements based on Green-Lagrange strains.


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