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 ![]() | |
Hale, Jack ![]() | |
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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