| Reference : Extension of 2D FEniCS implementation of Cosserat non-local elasticity to the 3D case |
| Reports : Other | |||
| 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  [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >] | |
| Hale, Jack [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. |
| File(s) associated to this reference | ||||||||||||||
|
Fulltext file(s):
| ||||||||||||||
All documents in ORBilu are protected by a user license.
