Reference : Extension of 2D FEniCS implementation of Cosserat non-local elasticity to the 3D case
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Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/17930
Extension of 2D FEniCS implementation of Cosserat non-local elasticity to the 3D case
English
Sautot, Camille [ISMANS]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Hale, Jack mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Sep-2014
[en] Cosserat ; finite elements ; 3D
[en] The objective of the study is the extension of the existing 2D FEniCS implementation of
Cosserat elasticity to the 3D case. The first step is the implementation of a patch-test for a
simple problem in classical elasticity as a Timoshenko's beam - this study will show that
DOLFIN could offer approximated solutions converging to the analytical solution. The second step
is the computation of the stress in a plate with a circular hole. The stress concentration factors
around the hole in classical and Cosserat elasticities will be compared, and a convergence study for
the Cosserat case will be realised. The third step is the extension to the 3D case with the
computation of the stress concentration factor around a spherical cavity in an infinite elastic
medium. This computed value will be compare to the analytical solution described by couple-stress
theory.
http://hdl.handle.net/10993/17930
This report was written by Camille Sautot during her undergraduate internship at the University of Luxembourg under the supervision of Jack S. Hale and Stéphane P. A. Bordas.

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